{"id":977,"date":"2026-10-06T21:01:59","date_gmt":"2026-10-06T21:01:59","guid":{"rendered":"https:\/\/academic.pargaidefenceacademy.in\/Class-9th\/?p=977"},"modified":"2026-10-06T21:30:14","modified_gmt":"2026-10-06T21:30:14","slug":"7-mathematics-of-chances-introduction-to-probability","status":"publish","type":"post","link":"https:\/\/academic.pargaidefenceacademy.in\/Class-9th\/2026\/10\/06\/7-mathematics-of-chances-introduction-to-probability\/","title":{"rendered":"*7* | \u0938\u0902\u092d\u093e\u0935\u0928\u093e\u0913\u0902 \u0915\u093e \u0917\u0923\u093f\u0924 \u2014 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u092a\u0930\u093f\u091a\u092f | Mathematics of Chances \u2014 Introduction to Probability"},"content":{"rendered":"<div id=\"pl-977\"  class=\"panel-layout\" ><div id=\"pg-977-0\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-977-0-0\"  class=\"panel-grid-cell\" ><div id=\"panel-977-0-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"0\" ><div class=\"textwidget custom-html-widget\"><div id=\"CH7-PROB-INTRO\" style=\"max-width:860px;margin:12px auto;border:4px solid #0f5e4b;border-radius:14px;background:#e6f4f1;font-family:'Noto Sans Devanagari',Arial,sans-serif;overflow:hidden;\">\n<div style=\"background:#0a5c4b;padding:10px;text-align:center;\"><span style=\"background:#fff;color:#0a3d33;padding:7px 20px;border-radius:20px;font-weight:bold;font-size:13px;\">\u0905\u0927\u094d\u092f\u093e\u092f 7 - \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u092a\u0930\u093f\u091a\u092f - \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u092a\u0930\u093f\u091a\u092f \u0936\u0941\u0926\u094d\u0927<\/span><\/div>\n\n<div style=\"padding:10px 12px;\">\n<div id=\"pr-1\" style=\"display:block;\"><div style=\"background:#d32f2f;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd34 \u092d\u093e\u0917 1\/5 - \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948?<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:2;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#ffebee;border-left:4px solid #d32f2f;padding:8px 10px;font-weight:bold;\">7 | \u0938\u0902\u092d\u093e\u0935\u0928\u093e\u0913\u0902 \u0915\u093e \u0917\u0923\u093f\u0924 \u2014 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u092a\u0930\u093f\u091a\u092f - \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u092a\u0930\u093f\u091a\u092f<\/div>\n\n<b>\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948?<\/b><br>\n\u0939\u092e\u093e\u0930\u0947 \u0926\u0948\u0928\u093f\u0915 \u091c\u0940\u0935\u0928 \u092e\u0947\u0902 \u0939\u092e \u0905\u0915\u094d\u0938\u0930 \u0910\u0938\u0947 \u0936\u092c\u094d\u0926\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u2014 \u0936\u093e\u092f\u0926, \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u0948, \u0938\u0902\u092d\u0935\u0924\u0903, \u0938\u0902\u0926\u0947\u0939 \u0939\u0948, \u0906\u0926\u093f\u0964 \u0907\u0928 \u0938\u092d\u0940 \u0936\u092c\u094d\u0926\u094b\u0902 \u092e\u0947\u0902 \u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924\u0924\u093e \u0915\u093e \u092d\u093e\u0935 \u0939\u0948\u0964 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0907\u0938\u0940 \u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924\u0924\u093e \u0915\u093e \u0917\u0923\u093f\u0924\u0940\u092f \u092e\u093e\u092a\u0928 \u0939\u0948\u0964<br><br>\n\n<b>\u0909\u0926\u093e\u0939\u0930\u0923:<\/b><br>\n- \u0915\u0932 \u092c\u093e\u0930\u093f\u0936 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e 70% \u0939\u0948\u0964<br>\n- \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u0928\u0947 \u092a\u0930 \u091a\u093f\u0924 \u0906\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e 1\/2 \u0939\u0948\u0964<br>\n- \u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 \u092e\u0947\u0902 \u091a\u092f\u0928 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u092e\u0947\u0939\u0928\u0924 \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u0939\u0948\u0964<br><br>\n\n<b>\u092a\u0930\u093f\u092d\u093e\u0937\u093e\u090f\u0901 \u0936\u0941\u0926\u094d\u0927:<\/b><br>\n<b>1. \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 (Random Experiment):<\/b> \u0935\u0939 \u092a\u094d\u0930\u092f\u094b\u0917 \u091c\u093f\u0938\u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e \u092a\u0939\u0932\u0947 \u0938\u0947 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0928 \u0939\u094b\u0902, \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0939\u0932\u093e\u0924\u093e \u0939\u0948\u0964 \u091c\u0948\u0938\u0947 \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u0928\u093e, \u092a\u093e\u0938\u093e \u092b\u0947\u0902\u0915\u0928\u093e\u0964<br><br>\n\n<b>2. \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f (Sample Space - S):<\/b> \u0915\u093f\u0938\u0940 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0947 \u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u093e \u0938\u092e\u0941\u091a\u094d\u091a\u092f\u0964<br>\n\u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u0928\u0947 \u092a\u0930 S={H,T}<br>\n\u092a\u093e\u0938\u093e \u092b\u0947\u0902\u0915\u0928\u0947 \u092a\u0930 S={1,2,3,4,5,6}<br><br>\n\n<b>3. \u0918\u091f\u0928\u093e (Event - E):<\/b> \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0915\u093e \u0909\u092a\u0938\u092e\u0941\u091a\u094d\u091a\u092f\u0964<br>\n\u092a\u093e\u0938\u093e \u092a\u0930 \u0938\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0906\u0928\u093e E={2,4,6}<br><br>\n\n<div style=\"background:#fff9c4;border:2px solid #fbc02d;padding:8px;border-radius:8px;text-align:center;font-weight:bold;\">\n\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u092e\u0942\u0932 \u0938\u0942\u0924\u094d\u0930:<br>\nP(E) = \u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \/ \u0915\u0941\u0932 \u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e<br>\nP(E)= n(E)\/n(S)<br>\n0 \u2264 P(E) \u2264 1\n<\/div>\n\n<\/div><\/div>\n\n<div id=\"pr-2\" style=\"display:none;\"><div style=\"background:#1565c0;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd35 \u092d\u093e\u0917 2\/5 - \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0947 \u092a\u094d\u0930\u0915\u093e\u0930<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:2;height:560px;overflow-y:auto;\">\n\n<b>\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0940 \u0938\u0940\u092e\u093e\u090f\u0901:<\/b><br>\n- \u0905\u0938\u0902\u092d\u0935 \u0918\u091f\u0928\u093e \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 0<br>\n- \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0918\u091f\u0928\u093e \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 1<br>\n- \u0915\u093f\u0938\u0940 \u092d\u0940 \u0918\u091f\u0928\u093e \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 0 \u0914\u0930 1 \u0915\u0947 \u092c\u0940\u091a<br>\n<div style=\"background:#e8f5e9;border:2px solid #2e7d32;padding:8px;border-radius:8px;text-align:center;font-weight:bold;\">\n0 \u2264 P(E) \u2264 1<br>\nP(\u0905\u0938\u0902\u092d\u0935)=0, P(\u0928\u093f\u0936\u094d\u091a\u093f\u0924)=1<br>\nP(E)+P(E \u0928\u0939\u0940\u0902)=1\n<\/div><br>\n\n<b>\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0947 \u092a\u094d\u0930\u0915\u093e\u0930:<\/b><br>\n<b>1. \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 (Classical):<\/b> P(E)=n(E)\/n(S) - \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e<br>\n<b>2. \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 (Experimental):<\/b> \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 - P=\u0918\u091f\u0928\u093e \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f\/\u0915\u0941\u0932 \u092a\u094d\u0930\u092f\u094b\u0917<br>\n<b>3. \u0905\u092d\u093f\u0917\u0943\u0939\u0940\u0924\u0940\u092f (Axiomatic):<\/b> \u0906\u0927\u0941\u0928\u093f\u0915 \u092a\u0930\u093f\u092d\u093e\u0937\u093e<br><br>\n\n<b>\u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 (Equally Likely):<\/b> \u0938\u092d\u0940 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0947 \u0906\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0938\u092e\u093e\u0928\u0964 \u091c\u0948\u0938\u0947 \u0928\u093f\u0937\u094d\u092a\u0915\u094d\u0937 \u0938\u093f\u0915\u094d\u0915\u093e, \u0928\u093f\u0937\u094d\u092a\u0915\u094d\u0937 \u092a\u093e\u0938\u093e\u0964<br><br>\n\n<b>\u092a\u0942\u0930\u0915 \u0918\u091f\u0928\u093e:<\/b> E \u0915\u0940 \u092a\u0942\u0930\u0915 E' = S-E, P(E')=1-P(E)<br>\n\n<\/div><\/div>\n\n<div id=\"pr-3\" style=\"display:none;\"><div style=\"background:#2e7d32;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe2 \u092d\u093e\u0917 3\/5 - \u0938\u093f\u0915\u094d\u0915\u093e \u092a\u093e\u0938\u093e \u0924\u093e\u0936<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<b>\u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u0928\u093e:<\/b><br>\n\u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u093e: S={H,T}, n=2<br>\nP(H)=1\/2, P(T)=1\/2<br>\n\u0926\u094b \u0938\u093f\u0915\u094d\u0915\u0947: S={HH,HT,TH,TT}, n=4<br>\n\u0924\u0940\u0928 \u0938\u093f\u0915\u094d\u0915\u0947: n=8<br><br>\n\n<b>\u092a\u093e\u0938\u093e \u092b\u0947\u0902\u0915\u0928\u093e:<\/b><br>\n\u090f\u0915 \u092a\u093e\u0938\u093e: S={1,2,3,4,5,6}, n=6<br>\n\u0938\u092e \u0938\u0902\u0916\u094d\u092f\u093e P=3\/6=1\/2<br>\n6 \u0906\u0928\u093e P=1\/6<br>\n7 \u0938\u0947 \u091b\u094b\u091f\u093e? \u0928\u093f\u0936\u094d\u091a\u093f\u0924 P=1<br>\n7 \u0938\u0947 \u092c\u0921\u093c\u093e? \u0905\u0938\u0902\u092d\u0935 P=0<br><br>\n\n\u0926\u094b \u092a\u093e\u0938\u0947: \u0915\u0941\u0932 \u092a\u0930\u093f\u0923\u093e\u092e 36<br>\n\u092f\u094b\u0917 7 \u0906\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e=6\/36=1\/6<br>\n\u092f\u094b\u0917 2 \u092f\u093e 12? 1\/36+1\/36=2\/36=1\/18<br><br>\n\n<b>\u0924\u093e\u0936 \u0915\u0940 \u0917\u0921\u094d\u0921\u0940:<\/b><br>\n\u0915\u0941\u0932 52 \u092a\u0924\u094d\u0924\u0947, 4 \u0930\u0902\u0917 - \u0939\u0941\u0915\u0941\u092e, \u092a\u093e\u0928, \u091a\u093f\u0921\u093c\u0940, \u0908\u0902\u091f (13-13)<br>\n\u0932\u093e\u0932 26, \u0915\u093e\u0932\u093e 26, \u0907\u0915\u094d\u0915\u093e 4, \u092c\u093e\u0926\u0936\u093e\u0939 4, \u092c\u0947\u0917\u092e 4, \u0917\u0941\u0932\u093e\u092e 4<br>\n\u090f\u0915 \u092a\u0924\u094d\u0924\u093e \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u092a\u0930:<br>\nP(\u0907\u0915\u094d\u0915\u093e)=4\/52=1\/13<br>\nP(\u0932\u093e\u0932)=26\/52=1\/2<br>\nP(\u0939\u0941\u0915\u0941\u092e \u0915\u093e \u0907\u0915\u094d\u0915\u093e)=1\/52<br>\n\n<\/div><\/div>\n\n<div id=\"pr-4\" style=\"display:none;\"><div style=\"background:#6a1b9a;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe3 \u092d\u093e\u0917 4\/5 - \u0938\u0942\u0924\u094d\u0930 \u0914\u0930 \u0909\u0926\u093e\u0939\u0930\u0923<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#fff9c4;border:2px solid #fbc02d;padding:8px;border-radius:8px;\">\n<b>\u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0938\u0942\u0924\u094d\u0930 \u0936\u0941\u0926\u094d\u0927:<\/b><br>\n1. P(E)=n(E)\/n(S)<br>\n2. 0\u2264P(E)\u22641<br>\n3. P(S)=1, P(\u2205)=0<br>\n4. P(E)+P(E')=1<br>\n5. P(A\u222aB)=P(A)+P(B)-P(A\u2229B)<br>\n6. \u092f\u0926\u093f A \u0914\u0930 B \u092a\u0930\u0938\u094d\u092a\u0930 \u0905\u092a\u0935\u0930\u094d\u091c\u0940 \u0924\u094b P(A\u222aB)=P(A)+P(B)<br>\n<\/div><br>\n\n<b>\u0909\u0926\u093e\u0939\u0930\u0923 1:<\/b> \u090f\u0915 \u0925\u0948\u0932\u0947 \u092e\u0947\u0902 3 \u0932\u093e\u0932 \u0914\u0930 2 \u0915\u093e\u0932\u0940 \u0917\u0947\u0902\u0926, \u090f\u0915 \u0917\u0947\u0902\u0926 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u092a\u0930 \u0932\u093e\u0932 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e?<br>\nn(S)=5, n(\u0932\u093e\u0932)=3 =>P=3\/5<br><br>\n\n<b>\u0909\u0926\u093e\u0939\u0930\u0923 2:<\/b> \u092a\u093e\u0938\u093e \u092b\u0947\u0902\u0915\u093e, 3 \u0938\u0947 \u092c\u0921\u093c\u0940 \u0938\u0902\u0916\u094d\u092f\u093e?<br>\n\u0905\u0928\u0941\u0915\u0942\u0932 {4,5,6}=3, P=3\/6=1\/2<br><br>\n\n<b>\u0909\u0926\u093e\u0939\u0930\u0923 3:<\/b> \u0926\u094b \u0938\u093f\u0915\u094d\u0915\u0947 \u0909\u091b\u093e\u0932\u0947, \u0915\u092e \u0938\u0947 \u0915\u092e \u090f\u0915 \u091a\u093f\u0924?<br>\nS={HH,HT,TH,TT}, \u0905\u0928\u0941\u0915\u0942\u0932 3, P=3\/4<br><br>\n\n<b>\u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 \u092e\u0947\u0902 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e:<\/b><br>\n\u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 \u092e\u0947\u0902 1-2 \u092a\u094d\u0930\u0936\u094d\u0928 \u0906\u0924\u0947 \u0939\u0948\u0902 - \u0938\u093f\u0915\u094d\u0915\u093e, \u092a\u093e\u0938\u093e, \u0924\u093e\u0936, \u0917\u0947\u0902\u0926 \u0935\u093e\u0932\u0947 \u0938\u0930\u0932 \u092a\u094d\u0930\u0936\u094d\u0928\u0964 \u0938\u0942\u0924\u094d\u0930 P=n(E)\/n(S) \u092f\u093e\u0926 \u0930\u0916\u094b\u0964<br>\n\n<\/div><\/div>\n\n<div id=\"pr-5\" style=\"display:none;\"><div style=\"background:#ff6f00;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe0 \u092d\u093e\u0917 5\/5 - \u0938\u093e\u0930\u093e\u0902\u0936<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:2;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#e3f2fd;border:2px solid #1565c0;padding:10px;border-radius:10px;text-align:center;font-weight:bold;\">\n<b>\u0905\u0927\u094d\u092f\u093e\u092f 7 \u0938\u093e\u0930\u093e\u0902\u0936 - \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u092a\u0930\u093f\u091a\u092f<\/b><br>\n\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e = \u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924\u0924\u093e \u0915\u093e \u092e\u093e\u092a\u0928<br>\nP(E)=\u0905\u0928\u0941\u0915\u0942\u0932\/\u0915\u0941\u0932<br>\n0\u2264P\u22641<br>\nP(\u0905\u0938\u0902\u092d\u0935)=0, P(\u0928\u093f\u0936\u094d\u091a\u093f\u0924)=1<br>\nP(E)+P(\u0928\u0939\u0940\u0902 E)=1<br>\n\u0938\u093f\u0915\u094d\u0915\u093e 1\/2, \u092a\u093e\u0938\u093e 1\/6, \u0924\u093e\u0936 1\/52<br>\n\u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917, \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f, \u0918\u091f\u0928\u093e\n<\/div><br>\n\n<b>\u0938\u094b\u091a\u093f\u090f \u0914\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0940\u091c\u093f\u090f:<\/b><br>\n\u091c\u0940\u0935\u0928 \u092e\u0947\u0902 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0939\u093e\u0901 \u0909\u092a\u092f\u094b\u0917 \u0939\u094b\u0924\u0940 \u0939\u0948?<br>\n- \u092e\u094c\u0938\u092e \u0935\u093f\u092d\u093e\u0917, \u092c\u0940\u092e\u093e, \u0916\u0947\u0932, \u091a\u0941\u0928\u093e\u0935, \u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 \u091a\u092f\u0928, \u0932\u0949\u091f\u0930\u0940, \u0935\u094d\u092f\u093e\u092a\u093e\u0930 \u092e\u0947\u0902 \u091c\u094b\u0916\u093f\u092e<br><br>\n\n\u0905\u0917\u0932\u093e: \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0947 \u092a\u094d\u0930\u0915\u093e\u0930, \u092a\u094d\u0930\u092f\u094b\u0917, \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e, \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.1<br>\n\n<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:10px;border-radius:10px;text-align:center;margin-top:10px;font-weight:bold;\">\n\u2705 \u0905\u0927\u094d\u092f\u093e\u092f 7 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u092a\u0930\u093f\u091a\u092f \u0936\u0941\u0926\u094d\u0927 \u0916\u0924\u094d\u092e<br>\nP(E)=n(E)\/n(S)<br>\n0\u2264P\u22641<br>\n\u0938\u093f\u0915\u094d\u0915\u093e \u092a\u093e\u0938\u093e \u0924\u093e\u0936 \u0917\u0947\u0902\u0926<br>\n\u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 \u092e\u0947\u0902 1-2 MCQ \u0907\u0938\u0940 \u0938\u0947\n<\/div>\n\n<\/div><\/div>\n<\/div>\n\n<div style=\"background:#0a5c4b;padding:12px;display:flex;justify-content:space-between;align-items:center;\">\n<button type=\"button\" id=\"prp\" style=\"background:#ffcc00;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">&larr; \u092a\u0940\u091b\u0947<\/button>\n<span id=\"pri\" style=\"background:#fff;color:#0a5c4b;padding:8px 20px;border-radius:20px;font-weight:bold;\">1 \/ 5<\/span>\n<button type=\"button\" id=\"prn\" style=\"background:#00e676;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">\u0906\u0917\u0947 &rarr;<\/button>\n<\/div>\n<\/div>\n\n<script>\n(function(){\nvar c=1,t=5;\nfunction s(n){\nfor(var i=1;i<=t;i++){\nvar el=document.getElementById('pr-'+i);\nif(el)el.style.display=(i===n?'block':'none');\n}\ndocument.getElementById('pri').textContent=n+' \/ '+t;\nc=n;\n}\ndocument.getElementById('prn').onclick=function(){var n=c+1;if(n>t)n=1;s(n);};\ndocument.getElementById('prp').onclick=function(){var n=c-1;if(n<1)n=t;s(n);};\n})();\n<\/script><\/div><\/div><\/div><\/div><div id=\"pg-977-1\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-977-1-0\"  class=\"panel-grid-cell\" ><div id=\"panel-977-1-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"1\" ><div class=\"textwidget custom-html-widget\"><div id=\"CH71-PROB-WHAT\" style=\"max-width:860px;margin:12px auto;border:4px solid #0f5e4b;border-radius:14px;background:#e6f4f1;font-family:'Noto Sans Devanagari',Arial,sans-serif;overflow:hidden;\">\n<div style=\"background:#0a5c4b;padding:10px;text-align:center;\"><span style=\"background:#fff;color:#0a3d33;padding:7px 20px;border-radius:20px;font-weight:bold;font-size:13px;\">7.1 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948? - \u092a\u0947\u091c 155-159 \u0936\u0941\u0926\u094d\u0927<\/span><\/div>\n\n<div style=\"padding:10px 12px;\">\n<div id=\"p71-1\" style=\"display:block;\"><div style=\"background:#d32f2f;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd34 \u092d\u093e\u0917 1\/5 - \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948?<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:2;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#ffebee;border-left:4px solid #d32f2f;padding:8px 10px;font-weight:bold;\">7.1 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948?<\/div>\n\u091c\u093f\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u092e \u0932\u0902\u092c\u093e\u0908, \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0905\u0925\u0935\u093e \u0906\u092f\u0924\u0928 \u091c\u0948\u0938\u0940 \u0930\u093e\u0936\u093f\u092f\u094b\u0902 \u0915\u094b \u092e\u093e\u092a\u0924\u0947 \u0939\u0948\u0902, \u0909\u0938\u0940 \u092a\u094d\u0930\u0915\u093e\u0930 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092d\u0940 \u090f\u0915 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u093e \u092e\u093e\u092a\u0928 \u0939\u0948\u0964 \u092f\u0926\u094d\u092f\u092a\u093f \u092d\u094c\u0924\u093f\u0915 \u0930\u093e\u0936\u093f\u092f\u094b\u0902 \u0915\u0947 \u0938\u094d\u0925\u093e\u0928 \u092a\u0930 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u0938\u0940 \u0918\u091f\u0928\u093e \u0915\u0947 \u0918\u091f\u093f\u0924 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u0947 \u092e\u093e\u092a\u0928 \u092e\u0947\u0902 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0935\u093f\u0936\u0947\u0937 \u0930\u0942\u092a \u0938\u0947 \u092f\u0939 \u0915\u093f\u0938\u0940 \u0935\u093f\u0936\u0947\u0937 \u0918\u091f\u0928\u093e \u0915\u0947 \u0939\u094b\u0928\u0947 \u0915\u094b \u0932\u0947\u0915\u0930 \u0939\u092e\u093e\u0930\u0940 \u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924\u0924\u093e \u0905\u0925\u0935\u093e \u0906\u0924\u094d\u092e\u0935\u093f\u0936\u094d\u0935\u093e\u0938 \u0915\u094b \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u0938\u0939\u093e\u092f\u0924\u093e \u0915\u0930\u0924\u0940 \u0939\u0948\u0964<br><br>\n\n\u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, \u0906\u092a \u0905\u092a\u0928\u0947 \u092e\u093f\u0924\u094d\u0930 \u0938\u0947 \u092a\u0942\u091b \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u2014<br>\n\u2022 \u0915\u094d\u092f\u093e \u0906\u091c \u0935\u0930\u094d\u0937\u093e \u0939\u094b\u0928\u0947 \u0935\u093e\u0932\u0940 \u0939\u0948?<br>\n\u2022 \u0915\u094d\u092f\u093e \u0939\u092e\u093e\u0930\u093e \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0915\u0932 \u0905\u0902\u0924\u0930\u094d\u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0939\u0949\u0915\u0940 \u092a\u094d\u0930\u0924\u093f\u092f\u094b\u0917\u093f\u0924\u093e \u092e\u0947\u0902 \u0935\u093f\u091c\u092f\u0940 \u0939\u094b\u0917\u093e?<br>\n\u2022 \u0915\u094d\u092f\u093e \u092e\u0948\u0902 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f\u0940 \u0938\u092d\u093e \u092e\u0947\u0902 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924\u093f \u0926\u0947\u0928\u0947 \u0939\u0947\u0924\u0941 \u092e\u093e\u0938\u093f\u0915 \u0932\u0915\u0940 \u0921\u094d\u0930\u0949 \u092e\u0947\u0902 \u091a\u092f\u0928\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u090a\u0901\u0917\u093e?<br>\n[\u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0915\u0947 \u0938\u092d\u0940 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u0947 \u0928\u093e\u092e \u0915\u093e\u0917\u091c \u0915\u0940 \u092a\u0930\u094d\u091a\u093f\u092f\u094b\u0902 \u092a\u0930 \u0932\u093f\u0916\u0947 \u091c\u093e\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u090f\u0915 \u092a\u0930\u094d\u091a\u0940 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u091a\u092f\u0928\u093f\u0924 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964]<br>\n\n\u092f\u0947 \u0918\u091f\u0928\u093e\u090f\u0901 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u0909\u0926\u093e\u0939\u0930\u0923 \u0939\u0948\u0902\u0964 \u0939\u092e \u0907\u0928\u0915\u0947 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0938\u0947 \u0905\u0935\u0917\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 (\u092f\u093e \u0924\u094b \u0935\u0930\u094d\u0937\u093e \u0939\u094b\u0917\u0940 \u092f\u093e \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u0940; \u0939\u092e\u093e\u0930\u0947 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0915\u093e \u0926\u0932 \u0939\u0949\u0915\u0940 \u092a\u094d\u0930\u0924\u093f\u092f\u094b\u0917\u093f\u0924\u093e \u092e\u0947\u0902 \u092f\u093e \u0924\u094b \u091c\u0940\u0924\u0947\u0917\u093e \u092f\u093e \u0939\u093e\u0930 \u091c\u093e\u090f\u0917\u093e \u092f\u093e \u092c\u0930\u093e\u092c\u0930\u0940 \u092a\u0930 \u0930\u0939\u0947\u0917\u093e, \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f-\u0938\u092d\u093e \u092e\u0947\u0902 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924\u093f \u0939\u0947\u0924\u0941 \u0915\u094b\u0908 \u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0905\u0935\u0936\u094d\u092f \u091a\u092f\u0928\u093f\u0924 \u0939\u094b\u0917\u093e)\u0964 \u092a\u0930\u0902\u0924\u0941 \u0939\u092e\u0947\u0902 \u092f\u0939 \u092a\u0942\u0930\u094d\u0935 \u092e\u0947\u0902 \u091c\u094d\u091e\u093e\u0924 \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u093e \u0915\u093f \u0915\u094c\u0928-\u0938\u093e \u092a\u0930\u093f\u0923\u093e\u092e \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0930\u0942\u092a \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0917\u093e \u0905\u0930\u094d\u0925\u093e\u0924 \u0939\u0930 \u092c\u093e\u0930 \u0910\u0938\u0940 \u0918\u091f\u0928\u093e \u0915\u0947 \u0918\u091f\u093f\u0924 \u0939\u094b\u0928\u0947 \u0915\u0947 \u0905\u0935\u0938\u0930 \u092a\u0930 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u092f\u093e \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915\u0924\u093e \u0915\u093e \u090f\u0915 \u0924\u0924\u094d\u0935 \u0909\u092a\u0938\u094d\u0925\u093f\u0924 \u0930\u0939\u0924\u093e \u0939\u0948\u0964<br><br>\n\n<div style=\"background:#fff9c4;border-left:4px solid #fbc02d;padding:8px 10px;font-weight:bold;\">\u0915\u094d\u092f\u093e \u0939\u092e 100% \u0928\u093f\u0936\u094d\u091a\u093f\u0924\u0924\u093e \u0915\u0947 \u0938\u093e\u0925 \u092c\u0924\u093e \u0938\u0915\u0924\u0947 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(\u091c\u0948\u0938\u0947 \u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u0928\u093e) \u091c\u0939\u093e\u0901 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092c\u093e\u0930 \u092a\u0930\u093f\u0923\u093e\u092e \u092d\u093f\u0928\u094d\u0928 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948 \u0914\u0930 \u0906\u092a \u092a\u0930\u093f\u0923\u093e\u092e \u092a\u0939\u0932\u0947 \u0938\u0947 \u0928\u0939\u0940\u0902 \u091c\u093e\u0928 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964\n<\/div>\n\n<\/div><\/div>\n\n<div id=\"p71-3\" style=\"display:none;\"><div style=\"background:#2e7d32;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe2 \u092d\u093e\u0917 3\/5 - \u0938\u094b\u091a\u093f\u090f \u0914\u0930 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915\u0924\u093e \u0915\u093e \u0909\u092a\u092f\u094b\u0917<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:2;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#e8f5e9;border-left:4px solid #2e7d32;padding:8px 10px;font-weight:bold;\">\u0938\u094b\u091a\u093f\u090f \u0914\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0940\u091c\u093f\u090f<\/div>\n\u0910\u0938\u0940 \u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924\u0924\u093e \u0915\u092d\u0940-\u0915\u092d\u0940 \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948! \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, \u090f\u0915 \u0915\u094d\u0930\u093f\u0915\u0947\u091f \u092a\u094d\u0930\u0924\u093f\u092f\u094b\u0917\u093f\u0924\u093e \u092e\u0947\u0902 \u0916\u093f\u0932\u093e\u0921\u093c\u093f\u092f\u094b\u0902 \u0915\u093e \u0915\u094c\u0928-\u0938\u093e \u0926\u0932 \u092a\u0939\u0932\u0947 \u092c\u0932\u094d\u0932\u0947\u092c\u093e\u091c\u0940 \u0915\u0930\u0947\u0917\u093e, \u092f\u0939 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\u0928\u094d\u092f\u093e\u092f\u0938\u0902\u0917\u0924\u0964<br><br>\n\n\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0917\u0923\u093f\u0924 \u0915\u0940 \u0935\u0939 \u0936\u093e\u0916\u093e \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915\u0924\u093e \u0914\u0930 \u0915\u093f\u0938\u0940 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u092a\u0930\u093f\u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u090f\u0915 \u0935\u093f\u0936\u0947\u0937 \u092a\u0930\u093f\u0923\u093e\u092e \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e\u0913\u0902 \u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<br>\n\u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, \u091c\u092c \u0906\u092a \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b 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\u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e \u091c\u094d\u091e\u093e\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 \u092a\u0930\u0902\u0924\u0941 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0935\u093f\u0936\u0947\u0937 \u092f\u093e \u0935\u094d\u092f\u0915\u094d\u0924\u093f\u0917\u0924 \u092a\u094d\u0930\u092f\u093e\u0938 \u0905\u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0936\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<br>\n\n<\/div><\/div>\n\n<div id=\"p71-4\" style=\"display:none;\"><div style=\"background:#6a1b9a;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe3 \u092d\u093e\u0917 4\/5 - 7.1.2 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u092a\u0948\u092e\u093e\u0928\u093e<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:2;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:8px 10px;font-weight:bold;\">7.1.2 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u092a\u0948\u092e\u093e\u0928\u093e<\/div>\n\u0915\u093f\u0938\u0940 \u0918\u091f\u0928\u093e \u0915\u0947 \u0918\u091f\u093f\u0924 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u094b \u092a\u094d\u0930\u0915\u091f \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094b 0 \u0938\u0947 1 \u0924\u0915 \u0915\u0947 \u092a\u0948\u092e\u093e\u0928\u0947 \u092a\u0930 \u092e\u093e\u092a\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0906\u092a\u0915\u0947 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0926\u094d\u0935\u093e\u0930\u093e \u0939\u0949\u0915\u0940 \u092a\u094d\u0930\u0924\u093f\u092f\u094b\u0917\u093f\u0924\u093e \u092e\u0947\u0902 \u0935\u093f\u091c\u092f\u0940 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 0.75 \u0939\u0948 \u0924\u094b \u0907\u0938\u0915\u093e \u0906\u0936\u092f \u092f\u0939 \u0939\u0948 \u0915\u093f 75 \u092a\u094d\u0930\u0924\u093f\u0936\u0924 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u0948 \u0915\u093f \u0906\u092a\u0915\u093e \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0935\u093f\u091c\u092f\u0940 \u0939\u094b\u0917\u093e\u0964 \u0907\u0938\u0915\u093e \u0905\u092d\u093f\u092a\u094d\u0930\u093e\u092f \u092f\u0939 \u0939\u0948 \u0915\u093f \u0906\u092a\u0915\u0947 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0915\u0947 \u0935\u093f\u091c\u092f\u0940 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0905\u0927\u093f\u0915 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0939\u0949\u0915\u0940 \u092a\u094d\u0930\u0924\u093f\u092f\u094b\u0917\u093f\u0924\u093e \u092e\u0947\u0902 \u0906\u092a\u0915\u0947 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0915\u0947 \u0935\u093f\u091c\u092f\u0940 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 0.5 \u0939\u0948 \u0924\u094b \u0907\u0938\u0915\u093e \u0906\u0936\u092f \u092f\u0939 \u0939\u0948 \u0915\u093f \u0906\u092a\u0915\u0947 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0915\u0947 \u0935\u093f\u091c\u092f\u0940 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e 50 \u092a\u094d\u0930\u0924\u093f\u0936\u0924 \u0939\u0948\u0964 \u0907\u0938\u0915\u093e \u0905\u092d\u093f\u092a\u094d\u0930\u093e\u092f \u092f\u0939 \u0939\u0948 \u0915\u093f \u0906\u092a\u0915\u0947 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0915\u093e \u0935\u093f\u091c\u092f\u0940 \u0939\u094b\u0928\u093e \u092f\u093e \u0928 \u0939\u094b\u0928\u093e \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 (\u0938\u092e\u093e\u0928 \u0938\u0902\u092d\u093e\u0935\u0928\u093e) \u0939\u0948\u0964 \u0926\u0942\u0938\u0930\u0940 \u0913\u0930 \u092f\u0926\u093f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 0 \u0939\u0948 \u0924\u094b \u0907\u0938\u0915\u093e \u0905\u0930\u094d\u0925 \u092f\u0939 \u0939\u0948 \u0915\u093f \u0935\u093f\u091c\u092f\u0940 \u0939\u094b\u0928\u093e \u0905\u0938\u0902\u092d\u0935 \u0939\u0948 (\u091c\u0948\u0938\u0947 \u092c\u093f\u0928\u093e \u0916\u0947\u0932\u0947 \u0935\u093f\u091c\u092f\u0940 \u0939\u094b\u0928\u093e) \u0914\u0930 \u092f\u0926\u093f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 1 \u0939\u0948 \u0924\u094b \u0907\u0938\u0915\u093e \u0906\u0936\u092f \u092f\u0939 \u0939\u0948 \u0915\u093f \u0906\u092a\u0915\u093e \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0930\u0942\u092a \u0938\u0947 \u0935\u093f\u091c\u092f\u0940 \u0939\u094b\u0917\u093e\u0964 \u0905\u0927\u093f\u0915\u093e\u0902\u0936 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 0 \u0914\u0930 1 \u0915\u0947 \u092e\u0927\u094d\u092f \u0939\u094b\u0924\u0940 \u0939\u0948 \u091c\u094b \u092f\u0939 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 \u0915\u093f \u0909\u0928\u0915\u0947 \u0918\u091f\u093f\u0924 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0915\u093f\u0924\u0928\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u0948\u0964<br><br>\n\n\u0924\u093e\u0936 \u0915\u0947 \u091b\u0939 \u092a\u0924\u094d\u0924\u094b\u0902 \u0915\u0940 \u090f\u0915 \u0917\u0921\u094d\u0921\u0940 \u0915\u0940 \u092a\u0930\u093f\u0915\u0932\u094d\u092a\u0928\u093e \u0915\u0940\u091c\u093f\u090f, \u091c\u0939\u093e\u0901 \u092c\u0948\u0902\u0917\u0928\u0940 \u0914\u0930 \u0939\u0930\u0947 \u092a\u0924\u094d\u0924\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0905\u091c\u094d\u091e\u093e\u0924 \u0939\u0948\u0964 \u0917\u0921\u094d\u0921\u0940 \u0938\u0947 \u092c\u0948\u0902\u0917\u0928\u0940 \u0930\u0902\u0917 \u0915\u0947 \u090f\u0915 \u092a\u0924\u094d\u0924\u0947 \u0915\u094b \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0905\u0938\u0902\u092d\u0935 (\u092f\u0926\u093f \u0915\u094b\u0908 \u092d\u0940 \u092a\u0924\u094d\u0924\u093e \u092c\u0948\u0902\u0917\u0928\u0940 \u0930\u0902\u0917 \u0915\u093e \u0928\u0939\u0940\u0902 \u0939\u094b) \u0938\u0947 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 (\u092f\u0926\u093f \u0938\u092d\u0940 \u092a\u0924\u094d\u0924\u0947 \u092c\u0948\u0902\u0917\u0928\u0940 \u0930\u0902\u0917 \u0915\u0947 \u0939\u094b\u0902) \u0924\u0915 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948 (\u091a\u093f\u0924\u094d\u0930 7.1 \u0926\u0947\u0916\u093f\u090f)\u0964<br>\n\u091c\u093f\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 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\u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u092f\u0939 \u092a\u0948\u092e\u093e\u0928\u093e \u0939\u092e\u0947\u0902 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u0918\u091f\u093f\u0924 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u094b \u0938\u092e\u091d\u0928\u0947 \u0914\u0930 \u0924\u0941\u0932\u0928\u093e \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u0938\u0939\u093e\u092f\u0924\u093e \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u093e \u0939\u0948, \u092c\u093f\u0932\u094d\u0915\u0941\u0932 \u0935\u0948\u0938\u0947 \u0939\u0940 \u091c\u0948\u0938\u0947 \u0939\u092e \u0938\u0902\u0916\u094d\u092f\u093e\u0930\u0947\u0916\u093e \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902!<br><br>\n\n<div style=\"background:#fff9c4;border:2px solid #fbc02d;padding:8px;border-radius:8px;text-align:center;font-weight:bold;\">\n\u091a\u093f\u0924\u094d\u0930 7.1 \u2014 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092a\u0948\u092e\u093e\u0928\u0947 \u092a\u0930 \u0917\u0921\u094d\u0921\u0940 \u0938\u0947 \u090f\u0915 \u092c\u0948\u0902\u0917\u0928\u0940 \u0930\u0902\u0917 \u0915\u0947 \u092a\u0924\u094d\u0924\u0947 \u0915\u093e \u091a\u092f\u0928 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e<br>\n0 (\u0905\u0938\u0902\u092d\u0935) ---- \u0915\u092e \u0938\u0902\u092d\u0935 ---- \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 (0.5) ---- \u0905\u0927\u093f\u0915 \u0938\u0902\u092d\u0935 ---- 1 (\u0928\u093f\u0936\u094d\u091a\u093f\u0924)\n<\/div>\n\n<\/div><\/div>\n\n<div id=\"p71-5\" style=\"display:none;\"><div style=\"background:#ff6f00;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe0 \u092d\u093e\u0917 5\/5 - \u0909\u0926\u093e\u0939\u0930\u0923 \u0914\u0930 \u0938\u0942\u0924\u094d\u0930 \u0936\u0941\u0926\u094d\u0927<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:2;height:560px;overflow-y:auto;\">\n\n\u092f\u0939\u093e\u0901 \u0918\u091f\u0928\u093e\u0913\u0902 \u0914\u0930 \u0909\u0928\u0915\u0947 \u0918\u091f\u093f\u0924 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u0913\u0902 \u0915\u0947 \u0915\u0941\u091b \u0909\u0926\u093e\u0939\u0930\u0923 \u0926\u093f\u090f \u0917\u090f \u0939\u0948\u0902\u0964 \u091a\u093f\u0924\u094d\u0930 7.1 \u092e\u0947\u0902 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092a\u0948\u092e\u093e\u0928\u0947 \u0915\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u0915\u094b \u0926\u0947\u0916\u093f\u090f \u0914\u0930 \u0938\u092e\u091d\u093f\u090f \u0915\u093f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094b \u090f\u0915 \u092a\u0948\u092e\u093e\u0928\u0947 \u092a\u0930 \u0915\u0948\u0938\u0947 \u092e\u093e\u092a\u0924\u0947 \u0939\u0948\u0902\u0964<br><br>\n\n<div style=\"background:#fff;border:2px solid #0f5e4b;border-radius:8px;padding:8px;\">\n<b>\u0918\u091f\u0928\u093e \u2014 \u0907\u0938\u0915\u093e \u0906\u0936\u092f \u0939\u0948:<\/b><br>\n\u2022 \u090f\u0915 \u092a\u093e\u0938\u0947 \u092a\u0930 6 \u0938\u0947 \u092c\u0921\u093c\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0906\u0928\u093e \u2014 \u0905\u0938\u0902\u092d\u0935\u2014 \u092a\u093e\u0938\u0947 \u092e\u0947\u0902 \u0915\u0947\u0935\u0932 1 \u0938\u0947 6 \u0924\u0915 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902\u0964 P=0<br>\n\u2022 \u090f\u0915 \u092e\u093e\u0928\u0915 \u092a\u093e\u0938\u0947 \u092a\u0930 3 \u0906\u0928\u093e \u2014 \u0915\u092e \u0938\u0902\u092d\u093e\u0935\u093f\u0924\u2014 \u092a\u0930\u0902\u0924\u0941 \u0905\u0938\u0902\u092d\u0935 \u0928\u0939\u0940\u0902 \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u092a\u093e\u0938\u0947 \u0915\u093e \u090f\u0915 \u092b\u0932\u0915 3 \u0939\u0948\u0964 P=1\/6\u22480.166<br>\n\u2022 \u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u0928\u0947 \u092a\u0930 \u091a\u093f\u0924 \u0906\u0928\u093e \u2014 \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 \u0938\u0902\u092d\u093e\u0935\u0928\u093e\u2014 \u091a\u093f\u0924 \u092f\u093e \u092a\u091f \u0906\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 \u0905\u0930\u094d\u0925\u093e\u0924 \u0938\u092e\u093e\u0928 \u0939\u0948\u0964 P=1\/2=0.5<br>\n\u2022 \u0924\u093e\u0936 \u0915\u0947 52 \u092a\u0924\u094d\u0924\u094b\u0902 \u0915\u0940 \u090f\u0915 \u0917\u0921\u094d\u0921\u0940 \u0938\u0947 2 \u0938\u0947 10 \u0924\u0915 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0935\u093e\u0932\u093e \u0915\u094b\u0908 \u090f\u0915 \u092a\u0924\u094d\u0924\u093e \u0928\u093f\u0915\u093e\u0932\u0928\u093e \u2014 \u0905\u0927\u093f\u0915 \u0938\u0902\u092d\u093e\u0935\u093f\u0924\u2014 \u0924\u093e\u0936 \u0915\u0947 52 \u092a\u0924\u094d\u0924\u094b\u0902 \u0915\u0940 \u090f\u0915 \u0917\u0921\u094d\u0921\u0940 \u092e\u0947\u0902 2 \u0938\u0947 10 \u0924\u0915 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0935\u093e\u0932\u0947 36 \u092a\u0924\u094d\u0924\u0947 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 P=36\/52=9\/13\u22480.69<br>\n\u2022 \u0938\u0942\u0930\u094d\u092f \u0915\u093e \u092a\u0942\u0930\u094d\u0935 \u0938\u0947 \u0909\u0917\u0928\u093e \u2014 \u0928\u093f\u0936\u094d\u091a\u093f\u0924\u2014 P=1<br>\n<\/div><br>\n\n<div style=\"background:#ffebee;border:3px solid #d32f2f;padding:10px;border-radius:10px;text-align:center;font-weight:bold;font-size:15px;\">\n\u0936\u0941\u0926\u094d\u0927 \u092a\u0930\u093f\u092d\u093e\u0937\u093e \u0914\u0930 \u0938\u0942\u0924\u094d\u0930 FINAL<br><br>\n<b>\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e P(E)= \u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e \/ \u0915\u0941\u0932 \u092a\u0930\u093f\u0923\u093e\u092e = n(E)\/n(S)<\/b><br>\n<b>0 \u2264 P(E) \u2264 1<\/b><br>\n<b>P(\u0905\u0938\u0902\u092d\u0935)=0, P(\u0928\u093f\u0936\u094d\u091a\u093f\u0924)=1<\/b><br>\n<b>P(E)+P(E')=1<\/b><br>\n\u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917, \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f S, \u0918\u091f\u0928\u093e E<br>\n\u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 = \u0938\u092e\u093e\u0928 \u0938\u0902\u092d\u093e\u0935\u0928\u093e<br>\n\u092a\u0948\u092e\u093e\u0928\u093e: \u0905\u0938\u0902\u092d\u0935 (0) \u2192 \u0915\u092e \u0938\u0902\u092d\u0935 \u2192 \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 (0.5) \u2192 \u0905\u0927\u093f\u0915 \u0938\u0902\u092d\u0935 \u2192 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 (1)\n<\/div>\n\n<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:10px;border-radius:10px;text-align:center;margin-top:10px;font-weight:bold;\">\n\u2705 7.1 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948? \u0936\u0941\u0926\u094d\u0927 \u0916\u0924\u094d\u092e<br>\n\u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915\u0924\u093e = \u092a\u0930\u093f\u0923\u093e\u092e \u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u092a\u0930 \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u091c\u094d\u091e\u093e\u0924<br>\n\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e = \u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924\u0924\u093e \u0915\u093e \u092e\u093e\u092a\u0928 0 \u0938\u0947 1<br>\n\u0935\u0930\u094d\u0937\u093e \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u091c\u091f\u093f\u0932 \u0915\u093e\u0930\u0915<br>\n\u092a\u0948\u092e\u093e\u0928\u093e \u0905\u0938\u0902\u092d\u0935 0 \u0938\u0947 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 1 \u0924\u0915\n<\/div>\n\n<\/div><\/div>\n<\/div>\n\n<div style=\"background:#0a5c4b;padding:12px;display:flex;justify-content:space-between;align-items:center;\">\n<button type=\"button\" id=\"p71p\" style=\"background:#ffcc00;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">&larr; \u092a\u0940\u091b\u0947<\/button>\n<span id=\"p71i\" style=\"background:#fff;color:#0a5c4b;padding:8px 20px;border-radius:20px;font-weight:bold;\">1 \/ 5<\/span>\n<button type=\"button\" id=\"p71n\" style=\"background:#00e676;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">\u0906\u0917\u0947 &rarr;<\/button>\n<\/div>\n<\/div>\n\n<script>\n(function(){\nvar c=1,t=5;\nfunction s(n){\nfor(var i=1;i<=t;i++){\nvar el=document.getElementById('p71-'+i);\nif(el)el.style.display=(i===n?'block':'none');\n}\ndocument.getElementById('p71i').textContent=n+' \/ '+t;\nc=n;\n}\ndocument.getElementById('p71n').onclick=function(){var n=c+1;if(n>t)n=1;s(n);};\ndocument.getElementById('p71p').onclick=function(){var n=c-1;if(n<1)n=t;s(n);};\n})();\n<\/script><\/div><\/div><\/div><\/div><div id=\"pg-977-2\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-977-2-0\"  class=\"panel-grid-cell\" ><div id=\"panel-977-2-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"2\" ><div class=\"textwidget custom-html-widget\"><div id=\"Q71-159\" style=\"max-width:860px;margin:12px auto;border:4px solid #0f5e4b;border-radius:14px;background:#e6f4f1;font-family:'Noto Sans Devanagari',Arial,sans-serif;overflow:hidden;\">\n<div style=\"background:#0a5c4b;padding:10px;text-align:center;\"><span style=\"background:#fff;color:#0a3d33;padding:7px 20px;border-radius:20px;font-weight:bold;font-size:13px;\">7.1 - \u092a\u0947\u091c 159-160 - \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.1 Q1 \u0936\u0941\u0926\u094d\u0927<\/span><\/div>\n\n<div style=\"padding:10px 12px;\">\n<div id=\"q71a-1\" style=\"display:block;\"><div style=\"background:#d32f2f;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd34 \u092d\u093e\u0917 1\/3 - \u092a\u0948\u092e\u093e\u0928\u093e \u0909\u0926\u093e\u0939\u0930\u0923 \u0936\u0941\u0926\u094d\u0927<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:2;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:8px 10px;font-weight:bold;\">\u092a\u0947\u091c 159 \u0936\u0941\u0926\u094d\u0927 - \u092a\u093f\u091b\u0932\u0947 \u092a\u0943\u0937\u094d\u0920 \u0938\u0947<\/div>\n- \u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u0928\u0947 \u092a\u0930 \u091a\u093f\u0924 \u0906\u0928\u093e - <b>\u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 \u0938\u0902\u092d\u093e\u0935\u0928\u093e<\/b>\u2014 \u091a\u093f\u0924 \u092f\u093e \u092a\u091f \u0906\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 \u0905\u0930\u094d\u0925\u093e\u0924 \u0938\u092e\u093e\u0928 \u0939\u0948\u0964 P=1\/2<br>\n- \u0924\u093e\u0936 \u0915\u0947 52 \u092a\u0924\u094d\u0924\u094b\u0902 \u0915\u0940 \u090f\u0915 \u0917\u0921\u094d\u0921\u0940 \u0938\u0947 2 \u0938\u0947 10 \u0924\u0915 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0935\u093e\u0932\u093e \u0915\u094b\u0908 \u090f\u0915 \u092a\u0924\u094d\u0924\u093e \u0928\u093f\u0915\u093e\u0932\u0928\u093e - <b>\u0905\u0927\u093f\u0915 \u0938\u0902\u092d\u093e\u0935\u093f\u0924<\/b>\u2014 \u0924\u093e\u0936 \u0915\u0947 52 \u092a\u0924\u094d\u0924\u094b\u0902 \u0915\u0940 \u090f\u0915 \u0917\u0921\u094d\u0921\u0940 \u092e\u0947\u0902 2 \u0938\u0947 10 \u0924\u0915 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0935\u093e\u0932\u0947 36 \u092a\u0924\u094d\u0924\u0947 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 P=36\/52=9\/13\u22480.69<br>\n- \u0938\u092d\u0940 \u0932\u093e\u0932 \u092e\u093f\u0920\u093e\u0907\u092f\u094b\u0902 \u0915\u0947 \u0925\u0948\u0932\u0947 \u0938\u0947 1 \u0932\u093e\u0932 \u092e\u093f\u0920\u093e\u0908 \u0928\u093f\u0915\u093e\u0932\u0928\u093e - <b>\u0928\u093f\u0936\u094d\u091a\u093f\u0924<\/b>\u2014 \u0938\u092d\u0940 \u092e\u093f\u0920\u093e\u0907\u092f\u093e\u0901 \u0932\u093e\u0932 \u0939\u0948\u0902\u0964 P=1<br><br>\n\n<div style=\"background:#fff9c4;border:2px solid #fbc02d;padding:8px;border-radius:8px;text-align:center;font-weight:bold;\">\n\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092a\u0948\u092e\u093e\u0928\u093e:<br>\n0 \u0905\u0938\u0902\u092d\u0935 ---- \u0915\u092e \u0938\u0902\u092d\u0935 ---- \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 0.5 ---- \u0905\u0927\u093f\u0915 \u0938\u0902\u092d\u0935 ---- 1 \u0928\u093f\u0936\u094d\u091a\u093f\u0924\n<\/div><br>\n\n<div style=\"background:#ffebee;border-left:4px solid #d32f2f;padding:8px 10px;font-weight:bold;\">\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.1<\/div>\n<b>Q1. \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u094b \u090f\u0915 \u092a\u0948\u092e\u093e\u0928\u0947 \u092a\u0930 0 (\u0905\u0938\u0902\u092d\u0935) \u0938\u0947 \u0932\u0947\u0915\u0930 1 (\u0928\u093f\u0936\u094d\u091a\u093f\u0924) \u0924\u0915 \u0915\u094d\u0930\u092e\u092c\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f\u0964 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0918\u091f\u0928\u093e \u0915\u094b \u0905\u0938\u0902\u092d\u0935, \u0915\u092e \u0938\u0902\u092d\u0935, \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915, \u0905\u0927\u093f\u0915 \u0938\u0902\u092d\u0935 \u0914\u0930 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u092e\u0947\u0902 \u0935\u0930\u094d\u0917\u0940\u0915\u0943\u0924 \u0915\u0940\u091c\u093f\u090f\u0964 \u0915\u093e\u0930\u0923 \u092c\u0924\u093e\u0907\u090f \u0915\u093f \u0906\u092a\u0928\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0918\u091f\u0928\u093e \u0915\u094b \u0907\u0938 \u0935\u0930\u094d\u0917 \u092e\u0947\u0902 \u0915\u094d\u092f\u094b\u0902 \u0930\u0916\u093e \u0939\u0948\u0964<\/b><br>\n(i) \u0906\u0917\u093e\u092e\u0940 \u0938\u094b\u092e\u0935\u093e\u0930 \u0930\u0935\u093f\u0935\u093e\u0930 \u0915\u0947 \u092a\u0936\u094d\u091a\u093e\u0924 \u0906\u090f\u0917\u093e\u0964<br>\n(ii) \u092e\u0941\u0902\u092c\u0908 \u092e\u0947\u0902 \u091c\u0941\u0932\u093e\u0908 \u092e\u0939\u0940\u0928\u0947 \u092e\u0947\u0902 \u092c\u0930\u094d\u092b\u092c\u093e\u0930\u0940 \u0939\u094b\u0917\u0940\u0964<br>\n(iii) \u0906\u091c \u0906\u092a\u0915\u0940 \u0915\u0915\u094d\u0937\u093e \u0938\u0947 \u090f\u0915 \u0939\u093e\u0925\u0940 \u0917\u0941\u091c\u0930\u0947\u0917\u093e\u0964<br>\n(iv) \u0915\u0932 \u0906\u092a \u0905\u092a\u0928\u0947 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u092e\u0947\u0902 \u0915\u092e-\u0938\u0947-\u0915\u092e \u090f\u0915 \u092e\u093f\u0924\u094d\u0930 \u0915\u093e \u0905\u092d\u093f\u0935\u093e\u0926\u0928 \u0915\u0930\u0947\u0902\u0917\u0947\u0964<br>\n\n<\/div><\/div>\n\n<div id=\"q71a-2\" style=\"display:none;\"><div style=\"background:#1565c0;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd35 \u092d\u093e\u0917 2\/3 - Q1 \u0909\u0924\u094d\u0924\u0930 (i)-(iv)<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<b>\u0909\u0924\u094d\u0924\u0930 \u0936\u0941\u0926\u094d\u0927:<\/b><br><br>\n\n<b>(i) \u0906\u0917\u093e\u092e\u0940 \u0938\u094b\u092e\u0935\u093e\u0930 \u0930\u0935\u093f\u0935\u093e\u0930 \u0915\u0947 \u092a\u0936\u094d\u091a\u093e\u0924 \u0906\u090f\u0917\u093e\u0964<\/b><br>\n\u0935\u0930\u094d\u0917: <span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0928\u093f\u0936\u094d\u091a\u093f\u0924 - P=1<\/span><br>\n\u0915\u093e\u0930\u0923: \u0938\u092a\u094d\u0924\u093e\u0939 \u0915\u093e \u0915\u094d\u0930\u092e \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0939\u0948, \u0930\u0935\u093f\u0935\u093e\u0930 \u0915\u0947 \u092c\u093e\u0926 \u0938\u094b\u092e\u0935\u093e\u0930 \u0939\u0940 \u0906\u0924\u093e \u0939\u0948, \u092f\u0939 \u0915\u0948\u0932\u0947\u0902\u0921\u0930 \u0915\u093e \u0928\u093f\u092f\u092e \u0939\u0948\u0964<br><br>\n\n<b>(ii) \u092e\u0941\u0902\u092c\u0908 \u092e\u0947\u0902 \u091c\u0941\u0932\u093e\u0908 \u092e\u0939\u0940\u0928\u0947 \u092e\u0947\u0902 \u092c\u0930\u094d\u092b\u092c\u093e\u0930\u0940 \u0939\u094b\u0917\u0940\u0964<\/b><br>\n\u0935\u0930\u094d\u0917: <span style=\"background:#ffebee;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0905\u0938\u0902\u092d\u0935 - P\u22480<\/span><br>\n\u0915\u093e\u0930\u0923: \u092e\u0941\u0902\u092c\u0908 \u0938\u092e\u0941\u0926\u094d\u0930 \u0924\u091f\u0940\u092f \u0917\u0930\u094d\u092e \u0936\u0939\u0930 \u0939\u0948, \u0935\u0939\u093e\u0901 \u0924\u093e\u092a\u092e\u093e\u0928 \u0915\u092d\u0940 \u092d\u0940 \u0939\u093f\u092e\u093e\u0902\u0915 \u0938\u0947 \u0928\u0940\u091a\u0947 \u0928\u0939\u0940\u0902 \u091c\u093e\u0924\u093e, \u091c\u0941\u0932\u093e\u0908 \u092e\u0947\u0902 \u092e\u093e\u0928\u0938\u0942\u0928 \u0939\u094b\u0924\u093e \u0939\u0948 \u092c\u0930\u094d\u092b\u092c\u093e\u0930\u0940 \u0905\u0938\u0902\u092d\u0935 \u0939\u0948\u0964<br><br>\n\n<b>(iii) \u0906\u091c \u0906\u092a\u0915\u0940 \u0915\u0915\u094d\u0937\u093e \u0938\u0947 \u090f\u0915 \u0939\u093e\u0925\u0940 \u0917\u0941\u091c\u0930\u0947\u0917\u093e\u0964<\/b><br>\n\u0935\u0930\u094d\u0917: <span style=\"background:#ffebee;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0905\u0938\u0902\u092d\u0935 - P\u22480<\/span><br>\n\u0915\u093e\u0930\u0923: \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0915\u0940 \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0939\u093e\u0925\u0940 \u0915\u093e \u0917\u0941\u091c\u0930\u0928\u093e \u0935\u094d\u092f\u093e\u0935\u0939\u093e\u0930\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u0905\u0938\u0902\u092d\u0935 \u0939\u0948, \u0915\u0915\u094d\u0937\u093e \u0915\u093e \u0906\u0915\u093e\u0930 \u0914\u0930 \u0938\u094d\u0925\u093e\u0928 \u0907\u0938\u0915\u0940 \u0905\u0928\u0941\u092e\u0924\u093f \u0928\u0939\u0940\u0902 \u0926\u0947\u0924\u093e\u0964<br><br>\n\n<b>(iv) \u0915\u0932 \u0906\u092a \u0905\u092a\u0928\u0947 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u092e\u0947\u0902 \u0915\u092e-\u0938\u0947-\u0915\u092e \u090f\u0915 \u092e\u093f\u0924\u094d\u0930 \u0915\u093e \u0905\u092d\u093f\u0935\u093e\u0926\u0928 \u0915\u0930\u0947\u0902\u0917\u0947\u0964<\/b><br>\n\u0935\u0930\u094d\u0917: <span style=\"background:#fff9c4;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0905\u0927\u093f\u0915 \u0938\u0902\u092d\u0935 - P\u22480.9<\/span><br>\n\u0915\u093e\u0930\u0923: \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u092e\u0947\u0902 \u092e\u093f\u0924\u094d\u0930\u094b\u0902 \u0938\u0947 \u092e\u093f\u0932\u0928\u093e \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0926\u0948\u0928\u093f\u0915 \u0915\u094d\u0930\u093f\u092f\u093e \u0939\u0948, \u092f\u0926\u093f \u0906\u092a \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u091c\u093e\u090f\u0902\u0917\u0947 \u0924\u094b \u092e\u093f\u0924\u094d\u0930 \u0938\u0947 \u0905\u092d\u093f\u0935\u093e\u0926\u0928 \u0915\u0930\u0928\u093e \u092c\u0939\u0941\u0924 \u0905\u0927\u093f\u0915 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u0939\u0948, \u0932\u0917\u092d\u0917 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0915\u0947 \u0915\u0930\u0940\u092c\u0964<br>\n\n<\/div><\/div>\n\n<div id=\"q71a-3\" style=\"display:none;\"><div style=\"background:#2e7d32;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe2 \u092d\u093e\u0917 3\/3 - \u092a\u0948\u092e\u093e\u0928\u0947 \u092a\u0930 \u0915\u094d\u0930\u092e + \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 \u092a\u094d\u0930\u0936\u094d\u0928<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<b>\u092a\u0948\u092e\u093e\u0928\u0947 \u092a\u0930 \u0915\u094d\u0930\u092e 0 \u0938\u0947 1 \u0924\u0915:<\/b><br>\n<div style=\"background:#fff;border:2px solid #0f5e4b;border-radius:8px;padding:10px;text-align:center;font-weight:bold;\">\n0 (\u0905\u0938\u0902\u092d\u0935) : (ii) \u092e\u0941\u0902\u092c\u0908 \u092e\u0947\u0902 \u092c\u0930\u094d\u092b\u092c\u093e\u0930\u0940, (iii) \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0939\u093e\u0925\u0940<br>\n\u2193<br>\n\u0915\u092e \u0938\u0902\u092d\u0935<br>\n\u2193<br>\n0.5 \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 - \u0938\u093f\u0915\u094d\u0915\u093e \u091a\u093f\u0924<br>\n\u2193<br>\n\u0905\u0927\u093f\u0915 \u0938\u0902\u092d\u0935 0.9: (iv) \u092e\u093f\u0924\u094d\u0930 \u0915\u093e \u0905\u092d\u093f\u0935\u093e\u0926\u0928<br>\n\u2193<br>\n1 (\u0928\u093f\u0936\u094d\u091a\u093f\u0924): (i) \u0938\u094b\u092e\u0935\u093e\u0930 \u0930\u0935\u093f\u0935\u093e\u0930 \u0915\u0947 \u092c\u093e\u0926\n<\/div><br>\n\n<b>\u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 \u092e\u0947\u0902 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928:<\/b><br>\n- \u0905\u0938\u0902\u092d\u0935 P=0 \u0909\u0926\u093e\u0939\u0930\u0923: \u092a\u093e\u0938\u0947 \u092a\u0930 7 \u0906\u0928\u093e, \u092e\u0941\u0902\u092c\u0908 \u092e\u0947\u0902 \u092c\u0930\u094d\u092b\u092c\u093e\u0930\u0940<br>\n- \u0928\u093f\u0936\u094d\u091a\u093f\u0924 P=1 \u0909\u0926\u093e\u0939\u0930\u0923: \u0938\u0942\u0930\u094d\u092f \u092a\u0942\u0930\u094d\u0935 \u0938\u0947 \u0909\u0917\u0928\u093e, \u0938\u094b\u092e\u0935\u093e\u0930 \u0930\u0935\u093f\u0935\u093e\u0930 \u0915\u0947 \u092c\u093e\u0926<br>\n- \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 P=0.5: \u0938\u093f\u0915\u094d\u0915\u093e \u091a\u093f\u0924\/\u092a\u091f<br>\n- \u0905\u0927\u093f\u0915 \u0938\u0902\u092d\u0935 P>0.5: 52 \u092a\u0924\u094d\u0924\u094b\u0902 \u092e\u0947\u0902 2-10 \u0935\u093e\u0932\u093e \u092a\u0924\u094d\u0924\u093e 36\/52<br><br>\n\n<b>\u0905\u0917\u0932\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 Q2-Q5:<\/b><br>\nQ2. \u0925\u0948\u0932\u0947 \u092e\u0947\u0902 \u0932\u093e\u0932\/\u0939\u0930\u0940 \u0917\u0947\u0902\u0926, \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092a\u0948\u092e\u093e\u0928\u0947 \u092a\u0930 \u092c\u0924\u093e\u0907\u090f<br>\nQ3. \u092a\u093e\u0938\u093e \u092b\u0947\u0902\u0915\u0928\u093e, \u0938\u092e \u0938\u0902\u0916\u094d\u092f\u093e, 5 \u0938\u0947 \u092c\u0921\u093c\u0940 \u0906\u0926\u093f<br>\nQ4. \u0924\u093e\u0936 \u0938\u0947 \u092a\u0924\u094d\u0924\u093e<br>\nQ5. \u0932\u0915\u0940 \u0921\u094d\u0930\u0949<br>\n\u0938\u0930 \u0905\u0917\u0932\u093e \u092a\u0947\u091c \u092d\u0947\u091c \u0926\u0940\u091c\u093f\u090f, Q2-Q5 \u092d\u0940 \u0936\u0941\u0926\u094d\u0927 \u0915\u0930 \u0926\u0942\u0901\u0917\u093e\u0964<br>\n\n<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:10px;border-radius:10px;text-align:center;margin-top:10px;font-weight:bold;\">\n\u2705 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.1 Q1 \u0936\u0941\u0926\u094d\u0927 \u0916\u0924\u094d\u092e<br>\n(i) \u0928\u093f\u0936\u094d\u091a\u093f\u0924 P1 - \u0938\u094b\u092e\u0935\u093e\u0930 \u0930\u0935\u093f\u0935\u093e\u0930 \u092c\u093e\u0926<br>\n(ii) \u0905\u0938\u0902\u092d\u0935 P0 - \u092e\u0941\u0902\u092c\u0908 \u092c\u0930\u094d\u092b\u092c\u093e\u0930\u0940<br>\n(iii) \u0905\u0938\u0902\u092d\u0935 P0 - \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0939\u093e\u0925\u0940<br>\n(iv) \u0905\u0927\u093f\u0915 \u0938\u0902\u092d\u0935 P0.9 - \u092e\u093f\u0924\u094d\u0930 \u0905\u092d\u093f\u0935\u093e\u0926\u0928<br>\n\u0915\u094d\u0930\u092e: \u0905\u0938\u0902\u092d\u0935 0 \u2192 \u0905\u0927\u093f\u0915 \u0938\u0902\u092d\u0935 \u2192 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 1\n<\/div>\n\n<\/div><\/div>\n<\/div>\n\n<div style=\"background:#0a5c4b;padding:12px;display:flex;justify-content:space-between;align-items:center;\">\n<button type=\"button\" id=\"q71ap\" style=\"background:#ffcc00;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">&larr; \u092a\u0940\u091b\u0947<\/button>\n<span id=\"q71ai\" style=\"background:#fff;color:#0a5c4b;padding:8px 20px;border-radius:20px;font-weight:bold;\">1 \/ 3<\/span>\n<button type=\"button\" id=\"q71an\" style=\"background:#00e676;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">\u0906\u0917\u0947 &rarr;<\/button>\n<\/div>\n<\/div>\n\n<script>\n(function(){\nvar c=1,t=3;\nfunction s(n){\nfor(var i=1;i<=t;i++){\nvar el=document.getElementById('q71a-'+i);\nif(el)el.style.display=(i===n?'block':'none');\n}\ndocument.getElementById('q71ai').textContent=n+' \/ '+t;\nc=n;\n}\ndocument.getElementById('q71an').onclick=function(){var n=c+1;if(n>t)n=1;s(n);};\ndocument.getElementById('q71ap').onclick=function(){var n=c-1;if(n<1)n=t;s(n);};\n})();\n<\/script><\/div><\/div><\/div><\/div><div id=\"pg-977-3\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-977-3-0\"  class=\"panel-grid-cell\" ><div id=\"panel-977-3-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"3\" ><div class=\"textwidget custom-html-widget\"><div id=\"CH72-OBJ-PROB\" style=\"max-width:860px;margin:12px auto;border:4px solid #0f5e4b;border-radius:14px;background:#e6f4f1;font-family:'Noto Sans Devanagari',Arial,sans-serif;overflow:hidden;\">\n<div style=\"background:#0a5c4b;padding:10px;text-align:center;\"><span style=\"background:#fff;color:#0a3d33;padding:7px 20px;border-radius:20px;font-weight:bold;font-size:13px;\">7.2 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u0935\u0938\u094d\u0924\u0941\u0928\u093f\u0937\u094d\u0920 \u092e\u093e\u092a\u0928 - \u092a\u0947\u091c 160-164 \u0936\u0941\u0926\u094d\u0927<\/span><\/div>\n\n<div style=\"padding:10px 12px;\">\n<div id=\"p72-1\" style=\"display:block;\"><div style=\"background:#d32f2f;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd34 \u092d\u093e\u0917 1\/5 - \u0935\u0938\u094d\u0924\u0941\u0928\u093f\u0937\u094d\u0920 \u092e\u093e\u092a\u0928 \u0915\u0940 \u0926\u094b \u0935\u093f\u0927\u093f\u092f\u093e\u0901<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:2;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#ffebee;border-left:4px solid #d32f2f;padding:8px 10px;font-weight:bold;\">7.2 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u0935\u0938\u094d\u0924\u0941\u0928\u093f\u0937\u094d\u0920 \u092e\u093e\u092a\u0928<\/div>\n\u0935\u0938\u094d\u0924\u0941\u0928\u093f\u0937\u094d\u0920\u0924\u093e \u0915\u0947 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923 \u0938\u0947 \u0915\u093f\u0938\u0940 \u0918\u091f\u0928\u093e \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092e\u093e\u092a\u0928\u0947 \u0915\u0940 \u0926\u094b \u092a\u094d\u0930\u092e\u0941\u0916 \u0935\u093f\u0927\u093f\u092f\u093e\u0901 \u0939\u0948\u0902\u2014<br><br>\n\n<b>1. \u0905\u0928\u0941\u092d\u0935 \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u092a\u094d\u0930\u092e\u093e\u0923\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917\u2014<\/b> \u0907\u0938\u092e\u0947\u0902 \u0935\u0947 \u0906\u0901\u0915\u0921\u093c\u0947 \u0938\u092e\u094d\u092e\u093f\u0932\u093f\u0924 \u0915\u093f\u090f \u091c\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u091c\u094b \u092f\u093e \u0924\u094b \u090f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u094b \u092c\u093e\u0930-\u092c\u093e\u0930 \u0926\u094b\u0939\u0930\u093e\u0915\u0930 \u0938\u0902\u0917\u094d\u0930\u0939\u093f\u0924 \u0915\u093f\u090f \u0917\u090f \u0939\u094b\u0902 \u0905\u0925\u0935\u093e \u092a\u0942\u0930\u094d\u0935 \u0915\u0947 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923\u094b\u0902 \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u0906\u0901\u0915\u0921\u093c\u094b\u0902 \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0930\u0915\u0947 \u0938\u0902\u0917\u094d\u0930\u0939\u093f\u0924 \u0915\u093f\u090f \u0917\u090f \u0939\u094b\u0902\u0964 \u0926\u094b\u0928\u094b\u0902 \u0939\u0940 \u0938\u0902\u0926\u0930\u094d\u092d\u094b\u0902 \u092e\u0947\u0902 \u0938\u0902\u0917\u094d\u0930\u0939\u093f\u0924 \u092a\u094d\u0930\u092e\u093e\u0923\u094b\u0902 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0918\u091f\u0928\u093e \u0915\u0940 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u093f\u0915 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0915\u0947 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u0906\u0915\u0932\u0928 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0939\u092e \u0907\u0938\u0947 <b>\u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e<\/b> \u0915\u0939\u0924\u0947 \u0939\u0948\u0902\u0964<br><br>\n\n<b>2. \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u0935\u093f\u0927\u093f\u092f\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917\u2014<\/b> \u0907\u0938 \u0935\u093f\u0927\u093f \u092e\u0947\u0902 \u092f\u0939 \u092a\u0930\u093f\u0915\u0932\u094d\u092a\u093f\u0924 \u0939\u0948 \u0915\u093f \u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 \u0939\u0948\u0902 (\u091c\u0939\u093e\u0901 \u0910\u0938\u093e \u0915\u094b\u0908 \u0935\u093f\u0936\u094d\u0935\u0938\u0928\u0940\u092f \u0915\u093e\u0930\u0923 \u0909\u092a\u0938\u094d\u0925\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948 \u091c\u093f\u0938\u0938\u0947 \u0915\u093f\u0938\u0940 \u090f\u0915 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u0947 \u0906\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0926\u0942\u0938\u0930\u0947 \u092a\u0930\u093f\u0923\u093e\u092e \u0938\u0947 \u0905\u0927\u093f\u0915 \u0939\u0948)\u0964 \u0924\u092c \u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0938\u0902\u0926\u0930\u094d\u092d \u092e\u0947\u0902 \u0924\u0930\u094d\u0915 \u0926\u0947\u0915\u0930 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u0906\u0915\u0932\u0928 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0939\u092e \u0907\u0938\u0947 <b>\u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e<\/b> \u0915\u0939\u0924\u0947 \u0939\u0948\u0902\u0964<br><br>\n\n<div style=\"background:#fff9c4;border:2px solid #fbc02d;padding:8px;border-radius:8px;text-align:center;font-weight:bold;\">\n\u0926\u094b \u0935\u093f\u0927\u093f\u092f\u093e\u0901:<br>\n1. \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e = \u092a\u094d\u0930\u092f\u094b\u0917\/\u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923 \u0938\u0947<br>\n2. \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e = \u0924\u0930\u094d\u0915 \u0938\u0947, \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 \u092e\u093e\u0928\u0915\u0930\n<\/div>\n\n<\/div><\/div>\n\n<div id=\"p72-2\" style=\"display:none;\"><div style=\"background:#1565c0;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd35 \u092d\u093e\u0917 2\/5 - 7.2.1 \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:8px 10px;font-weight:bold;\">7.2.1 \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u2014 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923 \u0905\u0925\u0935\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0930\u0928\u093e<\/div>\n\u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0930\u0928\u093e, \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0947 \u0935\u0938\u094d\u0924\u0941\u0928\u093f\u0937\u094d\u0920 \u0906\u0915\u0932\u0928 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u0905\u0928\u094d\u092f \u0935\u093f\u0927\u093f \u0939\u0948\u0964 \u090f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u092e\u0947\u0902, \u0918\u091f\u0928\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u093e \u092b\u0932 \u0939\u094b\u0924\u0940 \u0939\u0948 \u0914\u0930 \u0907\u0938\u0947 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u090f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u092e\u0947\u0902 \u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0947 \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0915\u094b <b>\u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f (\u0938\u0948\u0902\u092a\u0932 \u0938\u094d\u092a\u0947\u0938)<\/b> \u0915\u0939\u0924\u0947 \u0939\u0948\u0902\u0964<br>\n\u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0915\u094b \u0915\u094b\u0937\u094d\u0920\u0915\u094b\u0902 \u092e\u0947\u0902 \u0938\u0942\u091a\u0940\u092c\u0926\u094d\u0927 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0907\u0938\u092e\u0947\u0902 \u0932\u093f\u0916\u0947 \u0938\u092d\u0940 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b \u0905\u0932\u094d\u092a\u0935\u093f\u0930\u093e\u092e \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u0943\u0925\u0915 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<br><br>\n\n<b>\u0909\u0926\u093e\u0939\u0930\u0923 1\u2014 \u092a\u094d\u0930\u092f\u094b\u0917\u2014 \u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u093e \u0917\u092f\u093e<\/b><br>\n\u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u2014 \u091a\u093f\u0924 (H) \u092f\u093e \u092a\u091f (T) (\u091a\u093f\u0924\u094d\u0930 7.2 \u0926\u0947\u0916\u093f\u090f)<br>\n\u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u2014{H, T}<br><br>\n\n<b>\u092a\u094d\u0930\u092f\u094b\u0917\u2014 \u090f\u0915 \u092a\u093e\u0938\u093e \u092b\u0947\u0902\u0915\u093e \u0917\u092f\u093e<\/b><br>\n\u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u2014 \u092a\u093e\u0938\u0947 \u0915\u0947 \u090a\u092a\u0930 \u0935\u093e\u0932\u093e \u092b\u0932\u0915 1,2,3,4,5 \u092f\u093e 6 \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948 (\u091a\u093f\u0924\u094d\u0930 7.3 \u0926\u0947\u0916\u093f\u090f)<br>\n\u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u2014{1,2,3,4,5,6}<br><br>\n\n<div style=\"background:#ffebee;border:2px solid #d32f2f;padding:8px;border-radius:10px;text-align:center;font-weight:bold;font-size:16px;\">\n\u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e = \u0918\u091f\u0928\u093e \u0915\u0947 \u0918\u091f\u093f\u0924 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \/ \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e<br>\nP_exp = \u0905\u0928\u0941\u0915\u0942\u0932 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \/ \u0915\u0941\u0932 \u092a\u094d\u0930\u092f\u094b\u0917\n<\/div><br>\n\n<b>\u0909\u0926\u093e\u0939\u0930\u0923 2\u2014 \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f, \u0906\u092a \u090f\u0915 \u092a\u093e\u0938\u093e 50 \u092c\u093e\u0930 \u092b\u0947\u0902\u0915\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0909\u0938\u092e\u0947\u0902 \u0920\u0940\u0915 8 \u092c\u093e\u0930 4 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/b><br>\n\u092a\u093e\u0938\u0947 \u092a\u0930 4 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 8\/50=0.16 \u0905\u0925\u0935\u093e 16% \u0939\u0948\u0964<br>\n\u0939\u092e \u092f\u0939 \u092d\u0940 \u0915\u0939 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f 4 \u0915\u0940 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u093f\u0915 \u0906\u0935\u0943\u0924\u094d\u0924\u093f 8\/50=0.16 \u0939\u0948\u0964<br><br>\n\n\u0938\u093e\u092a\u0947\u0915\u094d\u0937\u093f\u0915 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0906\u092a\u0915\u094b \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u092a\u0942\u0930\u094d\u0935\u093e\u0928\u0941\u092e\u093e\u0928\u094b\u0902 \u0915\u0940 \u0905\u092a\u0947\u0915\u094d\u0937\u093e \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0906\u0901\u0915\u0921\u093c\u094b\u0902 \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094b \u0938\u092e\u091d\u0928\u0947 \u092e\u0947\u0902 \u0938\u0939\u093e\u092f\u0924\u093e \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 \u091c\u092c \u0906\u092a \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0947 \u0938\u093e\u0925 \u0915\u093e\u0930\u094d\u092f \u0915\u0930 \u0930\u0939\u0947 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 \u0924\u092c \u092f\u0939 \u0935\u093f\u0936\u0947\u0937\u0924\u0903 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940 \u0914\u0930 \u0906\u0901\u0915\u0921\u093c\u094b\u0902 \u0915\u0947 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964<br>\n\n<\/div><\/div>\n\n<div id=\"p72-3\" style=\"display:none;\"><div style=\"background:#2e7d32;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe2 \u092d\u093e\u0917 3\/5 - \u0938\u093e\u0902\u092a \u0938\u0940\u0922\u093c\u0940 \u0907\u0924\u093f\u0939\u093e\u0938 + 7.2.2 \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#fff9c4;border-left:4px solid #fbc02d;padding:8px 10px;font-weight:bold;\">\u0915\u094d\u092f\u093e \u0906\u092a \u091c\u093e\u0928\u0924\u0947 \u0939\u0948\u0902? \u0938\u093e\u0901\u092a-\u0938\u0940\u0922\u093c\u0940 \u0915\u0947 \u0916\u0947\u0932 \u0915\u093e \u092a\u094d\u0930\u093e\u0930\u0902\u092d<\/div>\n\u0938\u093e\u0901\u092a-\u0938\u0940\u0922\u093c\u0940 \u0915\u0947 \u0916\u0947\u0932 \u0915\u093e \u092a\u094d\u0930\u093e\u0930\u0902\u092d \u092a\u094d\u0930\u093e\u091a\u0940\u0928 \u092d\u093e\u0930\u0924 \u092e\u0947\u0902 \u0939\u0941\u0906 \u0939\u0948\u0964 \u092f\u0939 \u091c\u094d\u091e\u093e\u0928-\u091a\u094c\u092a\u0921\u093c \u0928\u093e\u092e\u0915 \u092a\u093e\u0930\u0902\u092a\u0930\u093f\u0915 \u0916\u0947\u0932 \u0938\u0947 \u0935\u093f\u0915\u0938\u093f\u0924 \u0939\u0941\u0906 \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0928\u0948\u0924\u093f\u0915 \u0909\u092a\u0915\u0930\u0923 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0925\u093e\u0964 \u091c\u094d\u091e\u093e\u0928-\u091a\u094c\u092a\u0921\u093c \u0915\u093e \u0909\u0926\u094d\u0926\u0947\u0936\u094d\u092f \u0928\u0948\u0924\u093f\u0915 \u0936\u093f\u0915\u094d\u0937\u093e \u0926\u0947\u0928\u093e \u0925\u093e, \u0907\u0938\u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0940\u0922\u093c\u0940 \u090f\u0915 \u0917\u0941\u0923 \u0915\u0947 \u092a\u094d\u0930\u0924\u0940\u0915 \u0915\u094b \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u0930 \u0930\u0939\u0940 \u0939\u0948 \u0914\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u093e\u0901\u092a \u090f\u0915 \u0905\u0935\u0917\u0941\u0923 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0928\u093f\u0927\u093f\u0924\u094d\u0935 \u0915\u0930 \u0930\u0939\u093e \u0939\u0948\u0964 \u0916\u0947\u0932 \u0915\u0947 \u0926\u094c\u0930\u093e\u0928 \u092f\u0939 \u0905\u091a\u094d\u091b\u0947 \u0914\u0930 \u092c\u0941\u0930\u0947 \u0935\u094d\u092f\u0935\u0939\u093e\u0930 \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948\u0964 \u091c\u094d\u091e\u093e\u0928-\u091a\u094c\u092a\u0921\u093c \u0915\u0947 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0930\u0942\u092a \u092d\u093e\u0930\u0924 \u0915\u0947 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u092a\u093e\u090f \u0917\u090f \u0939\u0948\u0902\u0964<br>\n\u091a\u093f\u0924\u094d\u0930 7.4 \u2014 \u0915\u092a\u0921\u093c\u0947 \u092a\u0930 \u092c\u0928\u093e \u090f\u0915 \u091c\u0948\u0928 \u091c\u094d\u091e\u093e\u0928-\u091a\u094c\u092a\u0921\u093c \u0916\u0947\u0932, \u0930\u093e\u0937\u094d\u091f\u094d\u0930\u0940\u092f \u0938\u0902\u0917\u094d\u0930\u0939\u093e\u0932\u092f (19\u0935\u0940\u0902 \u0936\u0924\u093e\u092c\u094d\u0926\u0940, \u092d\u093e\u0930\u0924)<br><br>\n\n<div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:8px 10px;font-weight:bold;\">7.2.2 \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e<\/div>\n\u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092e\u0947\u0902 \u0915\u093f\u0938\u0940 \u0918\u091f\u0928\u093e \u0915\u0947 \u0918\u091f\u093f\u0924 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928, \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0947 \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 \u0939\u094b\u0928\u0947 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0910\u0938\u0940 \u0905\u092a\u0947\u0915\u094d\u0937\u093e \u0939\u092e \u090f\u0915 \u0906\u0926\u0930\u094d\u0936 \u0914\u0930 \u092a\u0942\u0930\u094d\u0923\u0924\u092f\u093e \u0928\u094d\u092f\u093e\u092f\u0938\u0902\u0917\u0924 \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938 \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u0915\u093f\u0938\u0940 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u0906\u0901\u0915\u0921\u093c\u0947 \u092f\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0924\u092f\u093e \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094b P(\u0918\u091f\u0928\u093e) \u0905\u0925\u0935\u093e P(\u092a\u0930\u093f\u0923\u093e\u092e) \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0928\u093f\u0930\u0942\u092a\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<br>\n\n<div style=\"background:#ffebee;border:3px solid #d32f2f;padding:10px;border-radius:10px;text-align:center;font-weight:bold;font-size:16px;\">\n\u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e (P) = \u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \/ \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e<br>\nP(E)=n(E)\/n(S)\n<\/div><br>\n\n<b>\u0909\u0926\u093e\u0939\u0930\u0923 3\u2014 \u092f\u0926\u093f \u0906\u092a \u090f\u0915 \u0906\u0926\u0930\u094d\u0936 \u0937\u091f\u094d\u092b\u0932\u0915\u0940\u092f \u092a\u093e\u0938\u0947 \u0915\u094b \u092b\u0947\u0902\u0915\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b \u092a\u093e\u0938\u0947 \u092a\u0930 4 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948?<\/b><br>\n\u0939\u0932\u2014 \u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=1 (\u0915\u0947\u0935\u0932 \u0938\u0902\u0916\u094d\u092f\u093e 4)<br>\n\u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=6 (1 \u0938\u0947 \u0932\u0947\u0915\u0930 6 \u0924\u0915)<br>\nP(\u092a\u093e\u0938\u0947 \u092a\u0930 4 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0928\u093e)=1\/6=0.1666...\u22480.167 \u0905\u0925\u0935\u093e 16.7%<br><br>\n\n<b>\u0909\u0926\u093e\u0939\u0930\u0923 4\u2014 \u2018PROBABILITY\u2019 \u0936\u092c\u094d\u0926 \u0938\u0947 \u090f\u0915 \u0905\u0915\u094d\u0937\u0930 \u0915\u093e \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u091a\u092f\u0928 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u2018B\u2019 \u0905\u0915\u094d\u0937\u0930 \u0915\u0947 \u091a\u092f\u0928\u093f\u0924 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948?<\/b><br>\n\u0939\u0932\u2014 \u0905\u0928\u0941\u0915\u0942\u0932=2 (\u2018PROBABILITY\u2019 \u0936\u092c\u094d\u0926 \u092e\u0947\u0902 \u0926\u094b \u2018B\u2019 \u0939\u0948\u0902)<br>\n\u0915\u0941\u0932=11 (\u2018PROBABILITY\u2019 \u0936\u092c\u094d\u0926 \u092e\u0947\u0902 11 \u0905\u0915\u094d\u0937\u0930)<br>\nP(B)=2\/11=0.1818...\u22480.182 \u0905\u0925\u0935\u093e 18.2%<br>\n\n<\/div><\/div>\n\n<div id=\"p72-4\" style=\"display:none;\"><div style=\"background:#6a1b9a;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe3 \u092d\u093e\u0917 4\/5 - 7.2.3 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u0906\u0901\u0915\u0921\u093c\u094b\u0902 \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:8px 10px;font-weight:bold;\">7.2.3 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u0906\u0901\u0915\u0921\u093c\u094b\u0902 \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923<\/div>\n\u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u0906\u0901\u0915\u0921\u093c\u094b\u0902 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u092a\u094d\u0930\u092e\u093e\u0923 \u0938\u0902\u0917\u094d\u0930\u0939 \u0915\u0940 \u0935\u093f\u0927\u093f \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0935\u094d\u092f\u093e\u092a\u093e\u0930 \u091c\u0917\u0924 \u092e\u0947\u0902 \u0935\u093f\u092a\u0923\u0928, \u092c\u093f\u0915\u094d\u0930\u0940 \u0915\u093e \u092a\u0942\u0930\u094d\u0935\u093e\u0928\u0941\u092e\u093e\u0928 \u0932\u0917\u093e\u0928\u0947, \u092c\u0940\u092e\u093e \u0914\u0930 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u090f\u0935\u0902 \u0938\u093e\u092e\u093e\u091c\u093f\u0915 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0905\u0928\u0941\u0938\u0902\u0927\u093e\u0928 \u092e\u0947\u0902 \u0935\u094d\u092f\u093e\u092a\u0915 \u0930\u0942\u092a \u0938\u0947 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<br><br>\n\n<b>\u0909\u0926\u093e\u0939\u0930\u0923 5\u2014 \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f, \u0906\u092a \u0905\u091c\u094d\u091e\u093e\u0924 \u0930\u0942\u092a \u092e\u0947\u0902 \u0905\u092a\u0928\u0940 \u0915\u0915\u094d\u0937\u093e \u0915\u0947 50 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u093f\u092f \u092b\u0932 \u0915\u0940 \u0938\u0942\u091a\u0928\u093e \u0938\u0902\u0917\u094d\u0930\u0939\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0906\u0907\u090f, \u0915\u0932\u094d\u092a\u0928\u093e \u0915\u0930\u0947\u0902 \u0915\u093f \u092a\u0930\u093f\u0923\u093e\u092e \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u094b\u0902\u0917\u0947\u2014 20 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0906\u092e \u092a\u0938\u0902\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, 15 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0938\u0947\u092c \u092a\u0938\u0902\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, 10 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0915\u0947\u0932\u093e \u092a\u0938\u0902\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 5 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0905\u0902\u0917\u0942\u0930 \u092a\u0938\u0902\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/b><br>\n\u0906\u0907\u090f, \u090f\u0915 \u0916\u0947\u0932 \u0916\u0947\u0932\u0947\u0902! \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f, \u0939\u092e \u0915\u0915\u094d\u0937\u093e \u0938\u0947 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0915\u093e \u091a\u092f\u0928 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0909\u0938\u0915\u0947 \u092a\u094d\u0930\u093f\u092f \u092b\u0932 \u0915\u093e \u0905\u0928\u0941\u092e\u093e\u0928 \u0932\u0917\u093e\u0928\u0947 \u0915\u093e \u092a\u094d\u0930\u092f\u093e\u0938 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0909\u0938\u0915\u093e \u092a\u094d\u0930\u093f\u092f \u092b\u0932 \u0906\u092e \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948? \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0938\u0902\u0917\u094d\u0930\u0939\u093f\u0924 \u0906\u0901\u0915\u0921\u093c\u094b\u0902 \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0905\u0924\u0903 \u091a\u092f\u0928\u093f\u0924 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0915\u093e \u092a\u094d\u0930\u093f\u092f \u092b\u0932 \u0906\u092e \u0939\u094b\u0928\u0947 \u0915\u093e \u0924\u093e\u0930\u094d\u0915\u093f\u0915 \u0906\u0915\u0932\u0928 \u0939\u094b\u0917\u093e\u2014<br>\n\n<div style=\"background:#e8f5e9;border:2px solid #2e7d32;padding:8px;border-radius:8px;text-align:center;font-weight:bold;\">\n\u0906\u092e \u0915\u0947 \u092a\u094d\u0930\u093f\u092f \u092b\u0932 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e = \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u093f\u0928\u0915\u093e \u092a\u094d\u0930\u093f\u092f \u092b\u0932 \u0906\u092e \u0939\u0948 \/ \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e =20\/50=0.4\n<\/div>\n\u0905\u0924\u0903 \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u091a\u092f\u0928\u093f\u0924 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0915\u093e \u092a\u094d\u0930\u093f\u092f \u092b\u0932 \u0906\u092e \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e 0.4 \u0905\u0925\u0935\u093e 40% \u0939\u0948\u0964<br><br>\n\n\u0905\u092c \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f, \u0906\u092a \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u093f\u092f \u092b\u0932\u094b\u0902 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0938\u0902\u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0915\u0947 \u0932\u093f\u090f \u092b\u0932 \u0915\u094d\u0930\u092f \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902\u0964 \u0906\u092a\u0915\u094b \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u092b\u0932 \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u0915\u093e \u0905\u0928\u0941\u092e\u093e\u0928 \u0932\u0917\u093e\u0928\u0947 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b\u0917\u0940, \u091c\u093f\u0938\u0947 1500 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u0947 \u0938\u0902\u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0915\u0947 \u0932\u093f\u090f \u0915\u094d\u0930\u092f \u0915\u0930\u0928\u093e \u0939\u0948\u0964 \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0924\u0903 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0915\u0947 \u0938\u092d\u0940 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0905\u0925\u0935\u093e \u0938\u092e\u0938\u094d\u0924 \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u0906\u0901\u0915\u0921\u093c\u0947 \u090f\u0915\u0924\u094d\u0930\u093f\u0924 \u0915\u0930\u0928\u093e \u0905\u0935\u094d\u092f\u093e\u0935\u0939\u093e\u0930\u093f\u0915 \u0939\u094b\u0917\u093e\u0964 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u091c\u0940\u0935\u0928 \u092e\u0947\u0902 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0924\u0903 \u090f\u0915 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 (\u0938\u0948\u0902\u092a\u0932) \u0938\u0947 \u090f\u0915\u0924\u094d\u0930\u093f\u0924 \u0906\u0901\u0915\u0921\u093c\u094b\u0902 \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u0905\u0930\u094d\u0925\u093e\u0924 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u092e\u0947\u0902 \u0915\u0941\u0932 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e 1500 \u0939\u0948 \u0914\u0930 \u0939\u092e\u0928\u0947 \u090f\u0915 \u0915\u0915\u094d\u0937\u093e \u0938\u0947 50 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u0947 \u092a\u094d\u0930\u092e\u093e\u0923 \u0938\u0902\u0917\u094d\u0930\u0939\u093f\u0924 \u0915\u093f\u090f \u0925\u0947\u0964 \u0906\u092e \u0915\u0947 \u092a\u094d\u0930\u093f\u092f \u092b\u0932 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0947 \u0906\u0915\u0932\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e 0.4 \u0915\u0940 \u0917\u0908 \u0925\u0940\u0964 \u0905\u0924\u0903 \u0907\u0938\u0915\u093e \u0905\u092d\u093f\u092a\u094d\u0930\u093e\u092f \u092f\u0939 \u0939\u094b\u0917\u093e \u0915\u093f \u0939\u092e\u0947\u0902 \u0932\u0917\u092d\u0917 600 \u0906\u092e\u094b\u0902 (1500 \u0915\u093e 40%) \u0915\u094b \u0915\u094d\u0930\u092f \u0915\u0930\u0928\u0947 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b\u0917\u0940 \u0914\u0930 \u0936\u0947\u0937 \u092b\u0932, \u0938\u0947\u092c, \u0915\u0947\u0932\u093e \u0914\u0930 \u0905\u0902\u0917\u0942\u0930 \u0939\u094b\u0902\u0917\u0947\u0964<br><br>\n\n\u092f\u0926\u093f \u0939\u092e \u0905\u092a\u0928\u0947 \u0906\u0915\u0932\u0928 \u092e\u0947\u0902 \u0914\u0930 \u0905\u0927\u093f\u0915 \u0906\u0936\u094d\u0935\u0938\u094d\u0924 \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b \u0939\u092e\u0947\u0902 \u0905\u092a\u0947\u0915\u094d\u0937\u093e\u0915\u0943\u0924 \u0914\u0930 \u0905\u0927\u093f\u0915 \u092c\u0921\u093c\u093e \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u091a\u0941\u0928\u0928\u093e \u0939\u094b\u0917\u093e, \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, 100 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0938\u0947 \u092a\u0942\u091b\u0928\u093e \u0914\u0930 \u0938\u0941\u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0915\u0930\u0928\u093e \u0915\u093f \u092f\u0939 \u0906\u0915\u0932\u0928 \u0905\u0927\u093f\u0915 \u092a\u094d\u0930\u0924\u093f\u0928\u093f\u0927\u093f\u0915 \u0939\u094b, \u091c\u0948\u0938\u0947 \u0915\u093f \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0915\u0915\u094d\u0937\u093e\u0913\u0902 \u0914\u0930 \u0936\u094d\u0930\u0947\u0923\u093f\u092f\u094b\u0902 \u0915\u0947 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u094b \u0938\u092e\u094d\u092e\u093f\u0932\u093f\u0924 \u0915\u0930\u0928\u093e\u0964 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style=\"background:#fff9c4;border-left:4px solid #fbc02d;padding:8px 10px;font-weight:bold;\">\u092a\u094d\u0930\u0924\u093f\u091a\u092f\u0928 \u0915\u0947 \u0935\u093f\u0937\u092f \u092e\u0947\u0902 \u0914\u0930 \u0905\u0927\u093f\u0915 \u091c\u093e\u0928\u093f\u090f<\/div>\n\u091c\u092c \u0939\u092e \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u0947 \u0906\u0901\u0915\u0921\u093c\u0947 \u090f\u0915\u0924\u094d\u0930\u093f\u0924 \u0915\u0930 \u0930\u0939\u0947 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b \u0915\u0941\u091b \u0905\u0928\u094d\u092f \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0937\u092f\u094b\u0902 \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0930\u0928\u093e \u0939\u094b\u0924\u093e \u0939\u0948, \u091c\u0948\u0938\u0947\u2014 \u0906\u092a\u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0915\u093f\u0924\u0928\u093e \u092c\u0921\u093c\u093e \u0939\u094b\u0928\u093e 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\u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u0915\u093f\u0902\u0924\u0941 \u0935\u093e\u0938\u094d\u0924\u0935 \u092e\u0947\u0902 \u092a\u0939\u0932\u0947 \u091c\u094b \u092a\u0930\u093f\u0923\u093e\u092e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u0941\u090f \u0925\u0947, \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u0938\u0915\u093e \u0915\u094b\u0908 \u0939\u093f\u0938\u093e\u092c \u0928\u0939\u0940\u0902 \u0930\u0916\u0924\u093e\u0964 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092c\u093e\u0930 \u091c\u092c \u092d\u0940 \u0906\u092a \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b \u091a\u093f\u0924 \u0914\u0930 \u092a\u091f \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u092a\u0939\u0932\u0940 \u092c\u093e\u0930 \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u0928\u0947 \u0915\u0947 \u0938\u092e\u093e\u0928 \u0939\u0940 \u092c\u0928\u0940 \u0930\u0939\u0924\u0940 \u0939\u0948\u0964 \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u0940 \u0915\u094b\u0908 \u0938\u094d\u092e\u0943\u0924\u093f \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u0940 \u0939\u0948, \u0905\u0924\u0903 \u092a\u0942\u0930\u094d\u0935 \u0915\u0940 \u0909\u091b\u093e\u0932\u094b\u0902 \u0938\u0947 \u0906\u0928\u0947 \u0935\u093e\u0932\u0947 \u092a\u0930\u093f\u0923\u093e\u092e \u092e\u0947\u0902 \u0915\u094b\u0908 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0947 \u0926\u094d\u092f\u0942\u0924\u0915\u093e\u0930 (\u0917\u0947\u0902\u092c\u0932\u0930) \u0915\u093e \u092d\u094d\u0930\u092e \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<br><br>\n\n\u0909\u0926\u093e\u0939\u0930\u0923: \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0906\u092a \u090f\u0915 \u092e\u093e\u0928\u0915 \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u094b \u0909\u091b\u093e\u0932\u0924\u0947 \u0939\u0948\u0902\u0964 \u0909\u0938 \u092a\u0930 \u0932\u0917\u093e\u0924\u093e\u0930 \u091b\u0939 \u092c\u093e\u0930 \u091a\u093f\u0924 \u0906\u0924\u093e \u0939\u0948\u0964 \u0906\u092a \u092f\u0939 \u0905\u0928\u0941\u092d\u0935 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0905\u0917\u0932\u0940 \u092c\u093e\u0930 \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u0928\u0947 \u092a\u0930 \u092a\u091f \u0906 \u0938\u0915\u0924\u093e \u0939\u0948, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u092a\u091f \u0915\u0941\u091b \u0938\u092e\u092f \u0915\u0947 \u0932\u093f\u090f \u0928\u0939\u0940\u0902 \u0906\u092f\u093e \u0939\u0948\u0964 \u091c\u092c\u0915\u093f \u0905\u0917\u0932\u0940 \u0909\u091b\u093e\u0932 \u092e\u0947\u0902 \u092a\u091f \u0906\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0905\u092c \u092d\u0940 \u092a\u0942\u0930\u094d\u0935 \u0915\u0947 \u0938\u092e\u093e\u0928 \u0939\u0940 50% \u0905\u0925\u0935\u093e 1\/2 \u0939\u0948\u0964 \u0938\u093f\u0915\u094d\u0915\u0947 \u092e\u0947\u0902 \u092a\u0942\u0930\u094d\u0935 \u0915\u0940 \u0909\u091b\u093e\u0932\u094b\u0902 \u0915\u0940 \u0915\u094b\u0908 \u0938\u094d\u092e\u0943\u0924\u093f \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964<br><br>\n\n<b>\u0909\u0926\u093e\u0939\u0930\u0923 6\u2014 \u0938\u093e\u0901\u092a-\u0938\u0940\u0922\u093c\u0940 \u0916\u0947\u0932 \u0914\u0930 \u0926\u094d\u092f\u0942\u0924\u0915\u093e\u0930 \u0915\u093e \u092d\u094d\u0930\u092e<\/b><br>\n\u0906\u092a\u0928\u0947 \u0905\u092d\u0940 \u0928\u093f\u0930\u0902\u0924\u0930 \u0924\u0940\u0928 \u092c\u093e\u0930 \u092a\u093e\u0938\u093e \u092b\u0947\u0902\u0915\u0928\u0947 \u092a\u0930 \u0924\u0940\u0928\u094b\u0902 \u092c\u093e\u0930 6 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u093f\u092f\u093e\u0964 \u0905\u092c \u0906\u092a \u0938\u094b\u091a\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u201c\u092e\u0948\u0902 \u0905\u092d\u0940 \u0924\u0940\u0928 \u092c\u093e\u0930 \u091b\u0939 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930 \u091a\u0941\u0915\u093e \u0939\u0942\u0901 \u0924\u094b \u0907\u0938\u0915\u0940 \u0915\u094b\u0908 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0928\u0939\u0940\u0902 \u0939\u0948 \u0915\u093f \u092e\u0948\u0902 \u0905\u0917\u0932\u0940 \u092c\u093e\u0930 \u092d\u0940 6 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0942\u0901\u0917\u093e!\u201d \u092f\u0939 \u0935\u093f\u091a\u093e\u0930 \u0939\u0940 \u0926\u094d\u092f\u0942\u0924\u0915\u093e\u0930 \u0915\u093e \u092d\u094d\u0930\u092e \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092c\u093e\u0930 \u091c\u092c \u092a\u093e\u0938\u093e \u092b\u0947\u0902\u0915\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u0935\u0939 \u090f\u0915 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0918\u091f\u0928\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u092a\u093e\u0938\u0947 \u092a\u0930 6 \u0906\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0938\u0926\u0948\u0935 \u0939\u0940 1\/6\u22480.166 \u0905\u0925\u0935\u093e 16.6% \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0907\u0938\u092e\u0947\u0902 \u092a\u0942\u0930\u094d\u0935 \u0915\u0940 \u0918\u091f\u0928\u093e \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0915\u094b\u0908 \u092d\u0940 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<br><br>\n\n<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:10px;border-radius:10px;text-align:center;font-weight:bold;\">\n\u2705 7.2 \u0938\u093e\u0930\u093e\u0902\u0936 \u0936\u0941\u0926\u094d\u0927<br>\n\u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 P=\u0918\u091f\u0928\u093e \u0938\u0902\u0916\u094d\u092f\u093e\/\u0915\u0941\u0932 \u092a\u0930\u0940\u0915\u094d\u0937\u0923<br>\n\u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 P=\u0905\u0928\u0941\u0915\u0942\u0932\/\u0915\u0941\u0932 \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915<br>\n\u092c\u0943\u0939\u0924\u094d \u0938\u0902\u0916\u094d\u092f\u093e \u0928\u093f\u092f\u092e: \u092a\u094d\u0930\u092f\u094b\u0917 \u092c\u0922\u093c\u0928\u0947 \u092a\u0930 \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 \u2192 \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915<br>\n\u0926\u094d\u092f\u0942\u0924\u0915\u093e\u0930 \u092d\u094d\u0930\u092e: \u0938\u093f\u0915\u094d\u0915\u0947\/\u092a\u093e\u0938\u0947 \u0915\u0940 \u0915\u094b\u0908 \u0938\u094d\u092e\u0943\u0924\u093f \u0928\u0939\u0940\u0902, \u0939\u0930 \u092c\u093e\u0930 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 P \u0935\u0939\u0940 1\/2,1\/6<br>\n\u0928\u094d\u092f\u093e\u092f\u0938\u0902\u0917\u0924 \u0914\u0930 \u0928\u093f\u0937\u094d\u092a\u0915\u094d\u0937: \u0938\u092e\u092e\u093f\u0924, \u0915\u094b\u0908 \u092a\u0915\u094d\u0937\u092a\u093e\u0924 \u0928\u0939\u0940\u0902\n<\/div>\n\n<\/div><\/div>\n<\/div>\n\n<div style=\"background:#0a5c4b;padding:12px;display:flex;justify-content:space-between;align-items:center;\">\n<button type=\"button\" id=\"p72p\" style=\"background:#ffcc00;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">&larr; \u092a\u0940\u091b\u0947<\/button>\n<span id=\"p72i\" style=\"background:#fff;color:#0a5c4b;padding:8px 20px;border-radius:20px;font-weight:bold;\">1 \/ 5<\/span>\n<button type=\"button\" id=\"p72n\" style=\"background:#00e676;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">\u0906\u0917\u0947 &rarr;<\/button>\n<\/div>\n<\/div>\n\n<script>\n(function(){\nvar c=1,t=5;\nfunction s(n){\nfor(var i=1;i<=t;i++){\nvar el=document.getElementById('p72-'+i);\nif(el)el.style.display=(i===n?'block':'none');\n}\ndocument.getElementById('p72i').textContent=n+' \/ '+t;\nc=n;\n}\ndocument.getElementById('p72n').onclick=function(){var n=c+1;if(n>t)n=1;s(n);};\ndocument.getElementById('p72p').onclick=function(){var n=c-1;if(n<1)n=t;s(n);};\n})();\n<\/script><\/div><\/div><\/div><\/div><div id=\"pg-977-4\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-977-4-0\"  class=\"panel-grid-cell\" ><div id=\"panel-977-4-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"4\" ><div class=\"textwidget custom-html-widget\"><div id=\"Q72-73-PURE\" style=\"max-width:860px;margin:12px auto;border:4px solid #0f5e4b;border-radius:14px;background:#e6f4f1;font-family:'Noto Sans Devanagari',Arial,sans-serif;overflow:hidden;\">\n<div style=\"background:#0a5c4b;padding:10px;text-align:center;\"><span style=\"background:#fff;color:#0a3d33;padding:7px 20px;border-radius:20px;font-weight:bold;font-size:13px;\">\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.2 + 7.3 \u0924\u0924\u094d\u0924\u094d\u0935 - \u092a\u0947\u091c 165-167 \u0936\u0941\u0926\u094d\u0927 FINAL<\/span><\/div>\n\n<div style=\"padding:10px 12px;\">\n<div id=\"q72x-1\" style=\"display:block;\"><div style=\"background:#d32f2f;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd34 \u092d\u093e\u0917 1\/5 - \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.2 Q1-Q2<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#ffebee;border-left:4px solid #d32f2f;padding:8px 10px;font-weight:bold;\">\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.2<\/div>\n\n<b>Q1. \u090f\u0915 \u0936\u093f\u0915\u094d\u0937\u0915 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0930\u0902\u0917\u094b\u0902 \u0915\u0940 \u092e\u093f\u0920\u093e\u0907\u092f\u094b\u0902 \u0915\u0947 \u090f\u0915 \u092c\u0921\u093c\u0947 \u0925\u0948\u0932\u0947 \u0915\u094b \u0906\u092a\u0938 \u092e\u0947\u0902 \u092e\u093f\u0932\u093e\u0924\u0940 \u0939\u0948 \u0914\u0930 \u0909\u0938\u092e\u0947\u0902 \u0938\u0947 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 30 \u092e\u093f\u0920\u093e\u0907\u092f\u094b\u0902 \u0915\u0947 \u090f\u0915 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0915\u093e \u091a\u092f\u0928 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 \u0935\u0939 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0930\u0902\u0917 \u0915\u0940 \u092e\u093f\u0920\u093e\u0907\u092f\u094b\u0902 \u0915\u0940 \u0917\u093f\u0928\u0924\u0940 \u0915\u0930\u0924\u0940 \u0939\u0948, \u091c\u093f\u0928\u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u0948\u2014 10 \u0932\u093e\u0932 \u092e\u093f\u0920\u093e\u0907\u092f\u093e\u0901 | 8 \u0939\u0930\u0940 \u092e\u093f\u0920\u093e\u0907\u092f\u093e\u0901 | 7 \u092a\u0940\u0932\u0940 \u092e\u093f\u0920\u093e\u0907\u092f\u093e\u0901 | 5 \u0928\u0940\u0932\u0940 \u092e\u093f\u0920\u093e\u0907\u092f\u093e\u0901<\/b><br>\n(i) \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u0947 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u0939\u0930\u0940 \u092e\u093f\u0920\u093e\u0908 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0940\u091c\u093f\u090f\u0964<br>\n(ii) \u092f\u0926\u093f \u092c\u0921\u093c\u0947 \u0925\u0948\u0932\u0947 \u092e\u0947\u0902 \u0915\u0941\u0932 600 \u092e\u093f\u0920\u093e\u0907\u092f\u093e\u0901 \u0939\u0948\u0902 \u0924\u094b \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0906\u0915\u0932\u0928 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0915\u093f\u0924\u0928\u0940 \u092e\u093f\u0920\u093e\u0907\u092f\u094b\u0902 \u0915\u0947 \u092a\u0940\u0932\u0947 \u0930\u0902\u0917 \u0915\u0947 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u0948?<br>\n<b>\u0939\u0932:<\/b><br>\n(i) P(\u0939\u0930\u0940)=8\/30=4\/15\u22480.2667=26.67%<br>\n(ii) P(\u092a\u0940\u0932\u0940)=7\/30, 600 \u092e\u0947\u0902 \u0905\u0928\u0941\u092e\u093e\u0928=7\/30\u00d7600=140<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 (i) 4\/15\u22480.267 (ii) 140 \u092a\u0940\u0932\u0940<\/span><br><br>\n\n<b>Q2. \u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u092e\u0947\u0902 \u0938\u0930\u094d\u0935\u0947\u0915\u094d\u0937\u0923 \u0915\u0930\u093e\u092f\u093e \u0917\u092f\u093e, \u091c\u0939\u093e\u0901 40 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u0947 \u090f\u0915 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u0947 \u0909\u0928\u0915\u093e \u092a\u094d\u0930\u093f\u092f \u0915\u094d\u0932\u092c \u092a\u0942\u091b\u093e \u0917\u092f\u093e\u0964 \u092a\u094d\u0930\u0924\u093f\u0915\u094d\u0930\u093f\u092f\u093e\u090f\u0901 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u0948\u0902\u2014 14 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940\u2014 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0915\u094d\u0932\u092c | 11 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940\u2014 \u0915\u0932\u093e \u0915\u094d\u0932\u092c | 9 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940\u2014 \u0916\u0947\u0932 \u0915\u094d\u0932\u092c | 6 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940\u2014 \u0935\u093e\u0926-\u0935\u093f\u0935\u093e\u0926 \u0915\u094d\u0932\u092c \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0915\u093f \u092a\u0942\u0930\u0947 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u092e\u0947\u0902 800 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0939\u0948\u0902\u0964 (i) \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u0947 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u091a\u092f\u0928\u093f\u0924 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0915\u0940 \u092a\u094d\u0930\u093e\u0925\u092e\u093f\u0915\u0924\u093e \u0915\u0932\u093e \u0915\u094d\u0932\u092c \u0915\u0947 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948? (ii) \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0906\u0915\u0932\u0928 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u092a\u0942\u0930\u0947 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u092e\u0947\u0902 \u0915\u093f\u0924\u0928\u0947 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0916\u0947\u0932 \u0915\u094d\u0932\u092c \u0915\u094b \u092a\u094d\u0930\u093e\u0925\u092e\u093f\u0915\u0924\u093e \u0926\u0947\u0902\u0917\u0947\u0964<\/b><br>\n\u0939\u0932: (i) P(\u0915\u0932\u093e)=11\/40=0.275=27.5%<br>\n(ii) P(\u0916\u0947\u0932)=9\/40, 800 \u092e\u0947\u0902=9\/40\u00d7800=180<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 (i) 11\/40=0.275 (ii) 180 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940<\/span><br>\n\n<\/div><\/div>\n\n<div id=\"q72x-2\" style=\"display:none;\"><div style=\"background:#1565c0;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd35 \u092d\u093e\u0917 2\/5 - Q3-Q4 \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<b>Q3. \u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u094b 20 \u092c\u093e\u0930 \u0909\u091b\u093e\u0932\u093f\u090f \u0914\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092c\u093e\u0930 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u094b \u0905\u0902\u0915\u093f\u0924 \u0915\u0940\u091c\u093f\u090f (\u091a\u093f\u0924 \u0905\u0925\u0935\u093e \u092a\u091f)\u0964 (i) \u0906\u092a\u0928\u0947 \u0915\u093f\u0924\u0928\u0940 \u092c\u093e\u0930 \u091a\u093f\u0924 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u093f\u092f\u093e? (ii) \u0906\u092a\u0928\u0947 \u0915\u093f\u0924\u0928\u0940 \u092c\u093e\u0930 \u092a\u091f \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u093f\u092f\u093e? (iii) \u091a\u093f\u0924 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0940\u091c\u093f\u090f\u0964 (iv) \u092f\u0926\u093f \u0906\u092a \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u094b \u090f\u0915 \u0914\u0930 \u092c\u093e\u0930 \u0909\u091b\u093e\u0932\u0924\u0947 \u0939\u0948\u0902 \u0924\u092c \u091a\u093f\u0924 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948?<\/b><br>\n\u0939\u0932: \u092f\u0939 \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 \u0915\u093e\u0930\u094d\u092f \u0939\u0948 - \u0909\u0926\u093e\u0939\u0930\u0923 \u092e\u093e\u0928\u0947\u0902 12 \u092c\u093e\u0930 \u091a\u093f\u0924, 8 \u092c\u093e\u0930 \u092a\u091f<br>\n(iii) P_exp(\u091a\u093f\u0924)=12\/20=0.6<br>\n(iv) \u0905\u0917\u0932\u0940 \u092c\u093e\u0930 \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 P(\u091a\u093f\u0924)=1\/2=0.5 - \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u0940 \u0915\u094b\u0908 \u0938\u094d\u092e\u0943\u0924\u093f \u0928\u0939\u0940\u0902, \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0918\u091f\u0928\u093e<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 (iii) \u092a\u094d\u0930\u092f\u094b\u0917 \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930, \u0909\u0926\u093e\u0939\u0930\u0923 0.6 (iv) \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 0.5<\/span><br><br>\n\n<b>Q4. \u0915\u093e\u0917\u091c \u0938\u0947 \u0928\u093f\u0930\u094d\u092e\u093f\u0924 \u090f\u0915 \u092a\u094d\u092f\u093e\u0932\u0947 \u0915\u094b \u0939\u0935\u093e \u092e\u0947\u0902 100 \u092c\u093e\u0930 \u0909\u091b\u093e\u0932\u093f\u090f\u0964 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092c\u093e\u0930 \u0909\u091b\u093e\u0932\u0928\u0947 \u0915\u0947 \u092a\u0936\u094d\u091a\u093e\u0924 \u090f\u0915 \u0915\u093e\u0917\u091c \u092a\u0930 \u092f\u0939 \u0932\u093f\u0916\u0924\u0947 \u091c\u093e\u0907\u090f \u0915\u093f \u092a\u094d\u092f\u093e\u0932\u093e \u0905\u092a\u0928\u0947 \u0928\u093f\u091a\u0932\u0947 \u0924\u0932 \u092a\u0930 \u0917\u093f\u0930\u0924\u093e \u0939\u0948, \u0909\u0932\u094d\u091f\u093e \u0939\u094b\u0915\u0930 \u090a\u092a\u0930\u0940 \u092d\u093e\u0917 \u092a\u0930 \u0917\u093f\u0930\u0924\u093e \u0939\u0948 \u0905\u0925\u0935\u093e \u0905\u092a\u0928\u0947 \u092a\u093e\u0930\u094d\u0936\u094d\u0935 \u092a\u0930 \u0917\u093f\u0930\u0924\u093e \u0939\u0948 (\u091a\u093f\u0924\u094d\u0930 7.5 \u0926\u0947\u0916\u093f\u090f)\u0964 \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0940\u091c\u093f\u090f\u0964 \u091a\u093f\u0924\u094d\u0930 7.5 \u2014 \u0915\u093e\u0917\u091c \u0938\u0947 \u0928\u093f\u0930\u094d\u092e\u093f\u0924 \u092a\u094d\u092f\u093e\u0932\u0947 \u0915\u0947 \u0917\u093f\u0930\u0928\u0947 \u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f\u092f\u093e\u0901 (\u092c\u093e\u090f\u0901 \u0938\u0947 \u0926\u093e\u090f\u0901) \u2014 \u0924\u0932, \u0909\u0932\u094d\u091f\u093e \u0939\u094b\u0915\u0930 \u090a\u092a\u0930\u0940 \u092d\u093e\u0917 \u0914\u0930 \u092a\u093e\u0930\u094d\u0936\u094d\u0935 \u092d\u093e\u0917<\/b><br>\n\u0939\u0932: \u092f\u0939 \u092d\u0940 \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 \u0915\u093e\u0930\u094d\u092f - \u092e\u093e\u0928\u0947\u0902 100 \u092e\u0947\u0902 20 \u092c\u093e\u0930 \u0924\u0932, 15 \u092c\u093e\u0930 \u0909\u0932\u094d\u091f\u093e, 65 \u092c\u093e\u0930 \u092a\u093e\u0930\u094d\u0936\u094d\u0935<br>\nP(\u0924\u0932)=20\/100=0.2, P(\u0909\u0932\u094d\u091f\u093e)=15\/100=0.15, P(\u092a\u093e\u0930\u094d\u0936\u094d\u0935)=65\/100=0.65<br>\n\u092f\u0939 \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948, \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u0928\u0939\u0940\u0902 \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 \u0928\u0939\u0940\u0902<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 \u092a\u094d\u0930\u092f\u094b\u0917 \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 - 3 \u0938\u094d\u0925\u093f\u0924\u093f\u092f\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 1<\/span><br>\n\n<\/div><\/div>\n\n<div id=\"q72x-3\" style=\"display:none;\"><div style=\"background:#2e7d32;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe2 \u092d\u093e\u0917 3\/5 - Q5-Q6 + \u092c\u0943\u0939\u0924\u094d \u0938\u0902\u0916\u094d\u092f\u093e \u0928\u093f\u092f\u092e<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<b>Q5. \u090f\u0915 \u0928\u093f\u0937\u094d\u092a\u0915\u094d\u0937 \u0937\u091f\u094d\u092b\u0932\u0915\u0940\u092f \u092a\u093e\u0938\u0947 \u0915\u094b \u092b\u0947\u0902\u0915\u0928\u0947 \u092a\u0930 \u090f\u0915 \u0938\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948?<\/b><br>\n\u0939\u0932: S={1,2,3,4,5,6}, \u0938\u092e={2,4,6}, n=3<br>\nP=3\/6=1\/2=0.5=50%<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 1\/2<\/span><br><br>\n\n<b>Q6. \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f, \u0906\u092a \u090f\u0915 \u0937\u091f\u094d\u092b\u0932\u0915\u0940\u092f \u092a\u093e\u0938\u0947 \u0915\u094b 12 \u092c\u093e\u0930 \u092b\u0947\u0902\u0915\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0924\u0940\u0928 \u092c\u093e\u0930 \u0905\u0902\u0915 \u20183\u2019 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 (i) \u092a\u093e\u0938\u0947 \u092a\u0930 \u20183\u2019 \u0906\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948? (ii) \u092a\u093e\u0938\u0947 \u092a\u0930 \u20183\u2019 \u0906\u0928\u0947 \u0915\u0940 \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948? (iii) \u0907\u0928 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u0913\u0902 \u092e\u0947\u0902 \u092d\u093f\u0928\u094d\u0928\u0924\u093e \u0915\u094d\u092f\u094b\u0902 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948? \u092f\u0926\u093f \u0906\u092a \u092a\u093e\u0938\u0947 \u0915\u094b 60, 600 \u092f\u093e 6000 \u092c\u093e\u0930 \u092b\u0947\u0902\u0915\u0947\u0902 \u0924\u094b \u0915\u094d\u092f\u093e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0905\u092a\u0947\u0915\u094d\u0937\u093e \u0915\u0930\u0947\u0902\u0917\u0947?<\/b><br>\n\u0939\u0932: (i) P_exp=3\/12=1\/4=0.25<br>\n(ii) P_theo=1\/6\u22480.1667<br>\n(iii) \u092d\u093f\u0928\u094d\u0928\u0924\u093e \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u092e \u092c\u093e\u0930 \u0915\u093f\u092f\u093e \u0917\u092f\u093e, \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0909\u0924\u093e\u0930-\u091a\u0922\u093c\u093e\u0935\u0964 \u092c\u0943\u0939\u0924\u094d \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0928\u093f\u092f\u092e \u0938\u0947 \u091c\u0948\u0938\u0947-\u091c\u0948\u0938\u0947 \u092a\u094d\u0930\u092f\u094b\u0917 \u092c\u0922\u093c\u0947\u0917\u093e (60,600,6000) \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 1\/6 \u0915\u0947 \u0928\u093f\u0915\u091f \u0906\u090f\u0917\u0940\u0964 6000 \u092c\u093e\u0930 \u092e\u0947\u0902 \u0932\u0917\u092d\u0917 1000 \u092c\u093e\u0930 3 \u0906\u0928\u0947 \u0915\u0940 \u0905\u092a\u0947\u0915\u094d\u0937\u093e\u0964<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 (i) 1\/4 (ii) 1\/6 (iii) \u092a\u094d\u0930\u092f\u094b\u0917 \u092c\u0922\u093c\u0928\u0947 \u092a\u0930 1\/6 \u0915\u0947 \u0928\u093f\u0915\u091f<\/span><br>\n\n<\/div><\/div>\n\n<div id=\"q72x-4\" style=\"display:none;\"><div style=\"background:#6a1b9a;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe3 \u092d\u093e\u0917 4\/5 - 7.3 \u0924\u0924\u094d\u0924\u094d\u0935 - \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:8px 10px;font-weight:bold;\">7.3 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0947 \u0924\u0924\u094d\u0924\u094d\u0935 \u2014 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0914\u0930 \u0918\u091f\u0928\u093e\u090f\u0901<\/div>\n\n<div style=\"background:#fff9c4;border-left:4px solid #fbc02d;padding:8px 10px;font-weight:bold;\">7.3.1 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f (\u0938\u0948\u0902\u092a\u0932 \u0938\u094d\u092a\u0947\u0938)<\/div>\n\u0938\u094d\u092e\u0930\u0923 \u0915\u0940\u091c\u093f\u090f, \u2018S\u2019 \u0938\u0947 \u0928\u093f\u0930\u0942\u092a\u093f\u0924 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u093e \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u094b \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0915\u093e \u0924\u0924\u094d\u0935 \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<br>\n- \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u2018S\u2019 \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e \u0905\u0935\u0936\u094d\u092f \u0939\u0940 \u0938\u092e\u094d\u092e\u093f\u0932\u093f\u0924 \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u093f\u090f\u0964<br>\n- \u0915\u093f\u0938\u0940 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u094b \u090f\u0915 \u092c\u093e\u0930 \u0938\u0947 \u0905\u0927\u093f\u0915 \u0938\u0942\u091a\u0940\u092c\u0926\u094d\u0927 \u0928\u0939\u0940\u0902 \u0915\u093f\u092f\u093e \u091c\u093e\u0928\u093e \u091a\u093e\u0939\u093f\u090f\u0964<br>\n- \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u092e\u0947\u0902 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0906\u0915\u093e\u0930 \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0907\u0938\u0947 \u2018n(S)\u2019 \u0938\u0947 \u0928\u093f\u0930\u0942\u092a\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<br><br>\n\n<b>\u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0915\u0947 \u0909\u0926\u093e\u0939\u0930\u0923:<\/b><br>\n1. \u0915\u0932 \u0935\u0930\u094d\u0937\u093e \u0939\u094b\u0917\u0940, \u0907\u0938\u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f S={\u0935\u0930\u094d\u0937\u093e \u0939\u094b\u0917\u0940, \u0935\u0930\u094d\u0937\u093e \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u0940} \u0914\u0930 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0906\u0915\u093e\u0930 n(S)=2<br>\n2. \u090f\u0915 \u092a\u094d\u0930\u0924\u093f\u092f\u094b\u0917\u093f\u0924\u093e \u0905\u0930\u094d\u0925\u093e\u0924 \u090f\u0915 \u092a\u094d\u0930\u0924\u093f\u092f\u094b\u0917\u0940 \u0926\u0932 \u0915\u0947 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f S={\u091c\u0940\u0924, \u0939\u093e\u0930, \u0921\u094d\u0930\u0949} \u0914\u0930 n(S)=3<br>\n3. \u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u0928\u093e\u2014 \u092a\u094d\u0930\u092f\u094b\u0917\u2014 \u090f\u0915 \u092c\u093e\u0930 \u0928\u093f\u0937\u094d\u092a\u0915\u094d\u0937 \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u0928\u093e\u0964 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f S={\u091a\u093f\u0924(H), \u092a\u091f(T)}, \u0906\u0915\u093e\u0930 2<br>\n4. \u090f\u0915 \u092a\u093e\u0938\u093e \u092b\u0947\u0902\u0915\u0928\u093e\u2014 \u092a\u094d\u0930\u092f\u094b\u0917\u2014 \u090f\u0915 \u092e\u093e\u0928\u0915\u0940\u0915\u0943\u0924 \u0937\u091f\u094d\u092b\u0932\u0915\u0940\u092f \u092a\u093e\u0938\u093e \u092b\u0947\u0902\u0915\u0928\u093e\u0964 S={1,2,3,4,5,6}, \u0906\u0915\u093e\u0930 6<br>\n5. \u0926\u094b \u0938\u093f\u0915\u094d\u0915\u094b\u0902 \u0915\u094b \u0909\u091b\u093e\u0932\u0928\u093e\u2014 \u092a\u094d\u0930\u092f\u094b\u0917\u2014 \u090f\u0915 \u0938\u093e\u0925 \u0926\u094b \u0938\u093f\u0915\u094d\u0915\u094b\u0902 \u0915\u094b \u0909\u091b\u093e\u0932\u0928\u093e\u0964 S={HH,HT,TH,TT}, \u0906\u0915\u093e\u0930 4<br>\n\n<div style=\"background:#fff;border:2px solid #0f5e4b;border-radius:8px;padding:8px;\">\n\u0938\u093f\u0915\u094d\u0915\u093e1 \u0938\u093f\u0915\u094d\u0915\u093e2 \u092a\u0930\u093f\u0923\u093e\u092e<br>\nH H HH<br>\nH T HT<br>\nT H TH<br>\nT T TT\n<\/div><br>\n\n<div style=\"background:#e8f5e9;border-left:4px solid #2e7d32;padding:8px 10px;font-weight:bold;\">\u0938\u094b\u091a\u093f\u090f \u0914\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0940\u091c\u093f\u090f<\/div>\n\u0909\u092a\u0930\u094b\u0915\u094d\u0924 \u0909\u0926\u093e\u0939\u0930\u0923 1 \u092e\u0947\u0902 \u091c\u092c \u0939\u092e\u0928\u0947 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f {\u0935\u0930\u094d\u0937\u093e \u0939\u094b\u0917\u0940, \u0935\u0930\u094d\u0937\u093e \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u0940} \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u0925\u093e \u0924\u094b \u0939\u092e\u0928\u0947 \u0935\u0930\u094d\u0937\u093e \u0939\u094b\u0917\u0940 \u092f\u093e \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u0940, \u0915\u0947\u0935\u0932 \u0907\u0938\u0940 \u0935\u093f\u0937\u092f \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u093f\u092f\u093e \u0925\u093e\u0964 \u092f\u0926\u094d\u092f\u092a\u093f \u092f\u0926\u093f \u0939\u092e \u0935\u0930\u094d\u0937\u093e \u0915\u0940 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092e\u093e\u0924\u094d\u0930\u093e\u0913\u0902, \u091c\u0948\u0938\u0947\u2014 \u092b\u0941\u0939\u093e\u0930, \u0939\u0932\u094d\u0915\u0940 \u0935\u0930\u094d\u0937\u093e \u0905\u0925\u0935\u093e \u092d\u093e\u0930\u0940 \u0935\u0930\u094d\u0937\u093e \u0915\u094b \u0938\u092e\u094d\u092e\u093f\u0932\u093f\u0924 \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b \u0939\u092e\u0947\u0902 \u0905\u092a\u0928\u0947 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0915\u094b {\u0935\u0930\u094d\u0937\u093e \u0928\u0939\u0940\u0902, \u092c\u0942\u0901\u0926\u093e-\u092c\u093e\u0901\u0926\u0940, \u0939\u0932\u094d\u0915\u0940 \u0935\u0930\u094d\u0937\u093e, \u092d\u093e\u0930\u0940 \u0935\u0930\u094d\u0937\u093e} \u092e\u0947\u0902 \u0935\u093f\u0938\u094d\u0924\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b\u0917\u0940, \u091c\u093f\u0938\u0938\u0947 \u092f\u0939 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u0947 \u0932\u093f\u090f \u0906\u0935\u0936\u094d\u092f\u0915 \u0935\u093f\u0935\u0930\u0923 \u0915\u0947 \u0938\u094d\u0924\u0930 \u0915\u0947 \u0905\u0928\u0941\u0930\u0942\u092a \u092e\u0947\u0932 \u0916\u093e\u0924\u093e \u0939\u094b\u0964 \u092f\u0939 \u0938\u0941\u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0915\u0930\u0928\u093e \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u0948 \u0915\u093f \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f, \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0935\u093f\u0936\u0947\u0937 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u0947 \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0930\u0942\u092a \u0938\u0947 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0939\u094b\u0964<br>\n\n<\/div><\/div>\n\n<div id=\"q72x-5\" style=\"display:none;\"><div style=\"background:#ff6f00;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe0 \u092d\u093e\u0917 5\/5 - 7.3.2 \u0918\u091f\u0928\u093e\u090f\u0901<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:8px 10px;font-weight:bold;\">7.3.2 \u0918\u091f\u0928\u093e\u090f\u0901<\/div>\n\u0915\u094b\u0908 \u0918\u091f\u0928\u093e \u090f\u0915 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e \u0905\u0925\u0935\u093e \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u093e \u0938\u0902\u092f\u094b\u091c\u0928 \u0939\u094b\u0924\u0940 \u0939\u0948 \u091c\u094b \u0924\u092c \u0918\u091f\u093f\u0924 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948 \u091c\u092c \u0906\u092a \u0915\u094b\u0908 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0917\u0924\u093f\u0935\u093f\u0927\u093f \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0939 \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0938\u0947 \u0935\u093f\u0936\u0947\u0937 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u093e \u091a\u092f\u0928 \u0915\u0930\u0928\u0947 \u091c\u0948\u0938\u093e \u0939\u0948\u0964 \u0915\u094b\u0908 \u0918\u091f\u0928\u093e, \u090f\u0915 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0915\u093e \u0909\u092a\u0938\u092e\u0941\u091a\u094d\u091a\u092f (\u0938\u092c\u0938\u0947\u091f) \u0939\u094b\u0924\u0940 \u0939\u0948\u0964<br><br>\n\n<b>\u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u0909\u0926\u093e\u0939\u0930\u0923:<\/b><br>\n1. \u0926\u094b \u0938\u093f\u0915\u094d\u0915\u094b\u0902 \u0915\u094b \u0909\u091b\u093e\u0932\u0928\u093e<br>\n- \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u2014 \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e, \u091c\u0948\u0938\u0947\u2014 \u091a\u093f\u0924-\u091a\u093f\u0924, \u091a\u093f\u0924-\u092a\u091f, \u092a\u091f-\u091a\u093f\u0924, \u092a\u091f-\u092a\u091f\u0964 S={HH,HT,TH,TT}<br>\n- \u0918\u091f\u0928\u093e\u2014 \u2018\u0915\u092e-\u0938\u0947-\u0915\u092e \u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u093e \u091a\u093f\u0924 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964\u2019 E={HH,HT,TH}<br><br>\n\n2. \u0937\u091f\u094d\u092b\u0932\u0915\u0940\u092f \u092a\u093e\u0938\u093e \u092b\u0947\u0902\u0915\u0928\u093e<br>\n- \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u20141 \u0938\u0947 6 \u0924\u0915 \u0905\u0902\u0915\u093f\u0924 \u0938\u092d\u0940 \u092b\u0932\u0915\u0964 S={1,2,3,4,5,6}<br>\n- \u0918\u091f\u0928\u093e\u2014 \u2018\u092a\u093e\u0938\u0947 \u092a\u0930 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0938\u0902\u0916\u094d\u092f\u093e 4 \u0938\u0947 \u0905\u0927\u093f\u0915 \u0939\u0948\u0964\u2019 E={5,6}<br><br>\n\n3. \u091f\u094b\u0915\u0930\u0940 \u0938\u0947 \u092b\u0932 \u0928\u093f\u0915\u093e\u0932\u0928\u093e<br>\n- \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u2014 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u092b\u0932 \u091c\u094b \u0906\u092a \u091f\u094b\u0915\u0930\u0940 \u0938\u0947 \u0928\u093f\u0915\u093e\u0932 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u091c\u0948\u0938\u0947\u2014 \u0938\u0947\u092c, \u0915\u0947\u0932\u093e \u0914\u0930 \u0938\u0902\u0924\u0930\u093e\u0964 S={\u0938\u0947\u092c, \u0915\u0947\u0932\u093e, \u0938\u0902\u0924\u0930\u093e}<br>\n- \u0918\u091f\u0928\u093e\u2014 \u2018\u0935\u0939 \u092b\u0932 \u0928\u093f\u0915\u093e\u0932\u0928\u093e \u091c\u094b \u092a\u0940\u0932\u093e \u0939\u094b\u0964\u2019 E={\u0915\u0947\u0932\u093e}<br><br>\n\n<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:10px;border-radius:10px;text-align:center;font-weight:bold;\">\n\u2705 \u0936\u0941\u0926\u094d\u0927 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 FINAL<br>\n\u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f S = \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e, n(S)=\u0906\u0915\u093e\u0930<br>\n\u0918\u091f\u0928\u093e E = S \u0915\u093e \u0909\u092a\u0938\u092e\u0941\u091a\u094d\u091a\u092f<br>\nP(E)=n(E)\/n(S)<br>\n\u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 P=\u0906\u0935\u0943\u0924\u094d\u0924\u093f\/\u0915\u0941\u0932 \u092a\u094d\u0930\u092f\u094b\u0917<br>\n\u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 P=\u0905\u0928\u0941\u0915\u0942\u0932\/\u0915\u0941\u0932 \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915<br>\n\u092c\u0943\u0939\u0924\u094d \u0938\u0902\u0916\u094d\u092f\u093e \u0928\u093f\u092f\u092e: \u092a\u094d\u0930\u092f\u094b\u0917 \u2191 \u0924\u094b P_exp \u2192 P_theo<br>\n\u0926\u094d\u092f\u0942\u0924\u0915\u093e\u0930 \u092d\u094d\u0930\u092e \u0928\u0939\u0940\u0902 - \u0939\u0930 \u0909\u091b\u093e\u0932 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\n<\/div>\n\n<\/div><\/div>\n<\/div>\n\n<div style=\"background:#0a5c4b;padding:12px;display:flex;justify-content:space-between;align-items:center;\">\n<button type=\"button\" id=\"q72xp\" style=\"background:#ffcc00;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">&larr; \u092a\u0940\u091b\u0947<\/button>\n<span id=\"q72xi\" style=\"background:#fff;color:#0a5c4b;padding:8px 20px;border-radius:20px;font-weight:bold;\">1 \/ 5<\/span>\n<button type=\"button\" id=\"q72xn\" style=\"background:#00e676;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">\u0906\u0917\u0947 &rarr;<\/button>\n<\/div>\n<\/div>\n\n<script>\n(function(){\nvar c=1,t=5;\nfunction s(n){\nfor(var i=1;i<=t;i++){\nvar el=document.getElementById('q72x-'+i);\nif(el)el.style.display=(i===n?'block':'none');\n}\ndocument.getElementById('q72xi').textContent=n+' \/ '+t;\nc=n;\n}\ndocument.getElementById('q72xn').onclick=function(){var n=c+1;if(n>t)n=1;s(n);};\ndocument.getElementById('q72xp').onclick=function(){var n=c-1;if(n<1)n=t;s(n);};\n})();\n<\/script><\/div><\/div><\/div><\/div><div id=\"pg-977-5\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-977-5-0\"  class=\"panel-grid-cell\" ><div id=\"panel-977-5-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"5\" ><div class=\"textwidget custom-html-widget\"><div id=\"CH73-PURE-REPEAT\" style=\"max-width:860px;margin:12px auto;border:4px solid #0f5e4b;border-radius:14px;background:#e6f4f1;font-family:'Noto Sans Devanagari',Arial,sans-serif;overflow:hidden;\">\n<div style=\"background:#0a5c4b;padding:10px;text-align:center;\"><span style=\"background:#fff;color:#0a3d33;padding:7px 20px;border-radius:20px;font-weight:bold;font-size:13px;\">7.3 \u0924\u0924\u094d\u0924\u094d\u0935 - \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0914\u0930 \u0918\u091f\u0928\u093e\u090f\u0901 - \u0936\u0941\u0926\u094d\u0927 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u092a\u0930\u093f\u091a\u092f<\/span><\/div>\n\n<div style=\"padding:10px 12px;\">\n<div id=\"c73-1\" style=\"display:block;\"><div style=\"background:#d32f2f;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd34 \u092d\u093e\u0917 1\/4 - 7.3.1 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u092a\u0930\u093f\u092d\u093e\u0937\u093e<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:2;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#ffebee;border-left:4px solid #d32f2f;padding:8px 10px;font-weight:bold;\">7.3 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0947 \u0924\u0924\u094d\u0924\u094d\u0935 \u2014 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0914\u0930 \u0918\u091f\u0928\u093e\u090f\u0901<\/div>\n\n<div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:8px 10px;font-weight:bold;\">7.3.1 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f (\u0938\u0948\u0902\u092a\u0932 \u0938\u094d\u092a\u0947\u0938)<\/div>\n\u0938\u094d\u092e\u0930\u0923 \u0915\u0940\u091c\u093f\u090f, \u2018S\u2019 \u0938\u0947 \u0928\u093f\u0930\u0942\u092a\u093f\u0924 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u093e \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u094b \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0915\u093e \u0924\u0924\u094d\u0935 \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<br><br>\n\n- \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u2018S\u2019 \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e \u0905\u0935\u0936\u094d\u092f \u0939\u0940 \u0938\u092e\u094d\u092e\u093f\u0932\u093f\u0924 \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u093f\u090f\u0964<br>\n- \u0915\u093f\u0938\u0940 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u094b \u090f\u0915 \u092c\u093e\u0930 \u0938\u0947 \u0905\u0927\u093f\u0915 \u0938\u0942\u091a\u0940\u092c\u0926\u094d\u0927 \u0928\u0939\u0940\u0902 \u0915\u093f\u092f\u093e \u091c\u093e\u0928\u093e \u091a\u093e\u0939\u093f\u090f\u0964<br>\n- \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u092e\u0947\u0902 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0906\u0915\u093e\u0930 \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0907\u0938\u0947 \u2018n(S)\u2019 \u0938\u0947 \u0928\u093f\u0930\u0942\u092a\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<br><br>\n\n<div style=\"background:#fff9c4;border:2px solid #fbc02d;padding:8px;border-radius:8px;text-align:center;font-weight:bold;\">\n\u092a\u0930\u093f\u092d\u093e\u0937\u093e \u0936\u0941\u0926\u094d\u0927:<br>\nS = \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u093e \u0938\u092e\u0941\u091a\u094d\u091a\u092f<br>\nn(S) = \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0906\u0915\u093e\u0930 = S \u092e\u0947\u0902 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\n<\/div>\n\n<\/div><\/div>\n\n<div id=\"c73-2\" style=\"display:none;\"><div style=\"background:#1565c0;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd35 \u092d\u093e\u0917 2\/4 - \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0915\u0947 \u0909\u0926\u093e\u0939\u0930\u0923<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<b>\u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0915\u0947 \u0909\u0926\u093e\u0939\u0930\u0923:<\/b><br><br>\n\n<b>1. \u0915\u0932 \u0935\u0930\u094d\u0937\u093e \u0939\u094b\u0917\u0940, \u0907\u0938\u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f<\/b><br>\nS={\u0935\u0930\u094d\u0937\u093e \u0939\u094b\u0917\u0940, \u0935\u0930\u094d\u0937\u093e \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u0940} \u0914\u0930 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0906\u0915\u093e\u0930 n(S)=2<br><br>\n\n<b>2. \u090f\u0915 \u092a\u094d\u0930\u0924\u093f\u092f\u094b\u0917\u093f\u0924\u093e \u0905\u0930\u094d\u0925\u093e\u0924 \u090f\u0915 \u092a\u094d\u0930\u0924\u093f\u092f\u094b\u0917\u0940 \u0926\u0932 \u0915\u0947 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f<\/b><br>\nS={\u091c\u0940\u0924, \u0939\u093e\u0930, \u0921\u094d\u0930\u0949} \u0914\u0930 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0906\u0915\u093e\u0930 n(S)=3<br><br>\n\n<b>3. \u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u0928\u093e\u2014<\/b><br>\n- \u092a\u094d\u0930\u092f\u094b\u0917\u2014 \u090f\u0915 \u092c\u093e\u0930 \u0928\u093f\u0937\u094d\u092a\u0915\u094d\u0937 \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u0928\u093e\u0964<br>\n- \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u2014 S={\u091a\u093f\u0924(H), \u092a\u091f(T)}<br>\n- \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0906\u0915\u093e\u0930 =2<br><br>\n\n<b>4. \u090f\u0915 \u092a\u093e\u0938\u093e \u092b\u0947\u0902\u0915\u0928\u093e\u2014<\/b><br>\n- \u092a\u094d\u0930\u092f\u094b\u0917\u2014 \u090f\u0915 \u092e\u093e\u0928\u0915\u0940\u0915\u0943\u0924 \u0937\u091f\u094d\u092b\u0932\u0915\u0940\u092f \u092a\u093e\u0938\u093e \u092b\u0947\u0902\u0915\u0928\u093e\u0964<br>\n- \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u2014 S={1,2,3,4,5,6}<br>\n- \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0906\u0915\u093e\u0930 =6<br><br>\n\n<b>5. \u0926\u094b \u0938\u093f\u0915\u094d\u0915\u094b\u0902 \u0915\u094b \u0909\u091b\u093e\u0932\u0928\u093e\u2014<\/b><br>\n- \u092a\u094d\u0930\u092f\u094b\u0917\u2014 \u090f\u0915 \u0938\u093e\u0925 \u0926\u094b \u0938\u093f\u0915\u094d\u0915\u094b\u0902 \u0915\u094b \u0909\u091b\u093e\u0932\u0928\u093e\u0964<br>\n- \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u2014 S={HH,HT,TH,TT}<br>\n- \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0906\u0915\u093e\u0930 =4<br>\n\n<div style=\"background:#fff;border:2px solid #0f5e4b;border-radius:8px;padding:8px;margin-top:8px;\">\n<table style=\"width:100%;border-collapse:collapse;text-align:center;\">\n<tr style=\"background:#0a5c4b;color:#fff;\"><th style=\"border:1px solid #000;padding:6px;\">\u0938\u093f\u0915\u094d\u0915\u093e 1<\/th><th style=\"border:1px solid #000;padding:6px;\">\u0938\u093f\u0915\u094d\u0915\u093e 2<\/th><th style=\"border:1px solid #000;padding:6px;\">\u092a\u0930\u093f\u0923\u093e\u092e<\/th><\/tr>\n<tr><td style=\"border:1px solid #000;padding:6px;\">H<\/td><td style=\"border:1px solid #000;padding:6px;\">H<\/td><td style=\"border:1px solid #000;padding:6px;\">HH<\/td><\/tr>\n<tr><td style=\"border:1px solid #000;padding:6px;\">H<\/td><td style=\"border:1px solid #000;padding:6px;\">T<\/td><td style=\"border:1px solid #000;padding:6px;\">HT<\/td><\/tr>\n<tr><td style=\"border:1px solid #000;padding:6px;\">T<\/td><td style=\"border:1px solid #000;padding:6px;\">H<\/td><td style=\"border:1px solid #000;padding:6px;\">TH<\/td><\/tr>\n<tr><td style=\"border:1px solid #000;padding:6px;\">T<\/td><td style=\"border:1px solid #000;padding:6px;\">T<\/td><td style=\"border:1px solid #000;padding:6px;\">TT<\/td><\/tr>\n<\/table>\n<\/div>\n\n<\/div><\/div>\n\n<div id=\"c73-3\" style=\"display:none;\"><div style=\"background:#2e7d32;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe2 \u092d\u093e\u0917 3\/4 - \u0938\u094b\u091a\u093f\u090f \u0914\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0940\u091c\u093f\u090f<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:2;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#e8f5e9;border-left:4px solid #2e7d32;padding:8px 10px;font-weight:bold;\">\u0938\u094b\u091a\u093f\u090f \u0914\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0940\u091c\u093f\u090f<\/div>\n\u0909\u092a\u0930\u094b\u0915\u094d\u0924 \u0909\u0926\u093e\u0939\u0930\u0923 1 \u092e\u0947\u0902 \u091c\u092c \u0939\u092e\u0928\u0947 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f {\u0935\u0930\u094d\u0937\u093e \u0939\u094b\u0917\u0940, \u0935\u0930\u094d\u0937\u093e \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u0940} \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u0925\u093e \u0924\u094b \u0939\u092e\u0928\u0947 \u0935\u0930\u094d\u0937\u093e \u0939\u094b\u0917\u0940 \u092f\u093e \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u0940, \u0915\u0947\u0935\u0932 \u0907\u0938\u0940 \u0935\u093f\u0937\u092f \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u093f\u092f\u093e \u0925\u093e\u0964 \u092f\u0926\u094d\u092f\u092a\u093f \u092f\u0926\u093f \u0939\u092e \u0935\u0930\u094d\u0937\u093e \u0915\u0940 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092e\u093e\u0924\u094d\u0930\u093e\u0913\u0902, \u091c\u0948\u0938\u0947\u2014 \u092b\u0941\u0939\u093e\u0930, \u0939\u0932\u094d\u0915\u0940 \u0935\u0930\u094d\u0937\u093e \u0905\u0925\u0935\u093e \u092d\u093e\u0930\u0940 \u0935\u0930\u094d\u0937\u093e \u0915\u094b \u0938\u092e\u094d\u092e\u093f\u0932\u093f\u0924 \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b \u0939\u092e\u0947\u0902 \u0905\u092a\u0928\u0947 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0915\u094b {\u0935\u0930\u094d\u0937\u093e \u0928\u0939\u0940\u0902, \u092c\u0942\u0901\u0926\u093e-\u092c\u093e\u0901\u0926\u0940, \u0939\u0932\u094d\u0915\u0940 \u0935\u0930\u094d\u0937\u093e, \u092d\u093e\u0930\u0940 \u0935\u0930\u094d\u0937\u093e} \u092e\u0947\u0902 \u0935\u093f\u0938\u094d\u0924\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b\u0917\u0940, \u091c\u093f\u0938\u0938\u0947 \u092f\u0939 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u0947 \u0932\u093f\u090f \u0906\u0935\u0936\u094d\u092f\u0915 \u0935\u093f\u0935\u0930\u0923 \u0915\u0947 \u0938\u094d\u0924\u0930 \u0915\u0947 \u0905\u0928\u0941\u0930\u0942\u092a \u092e\u0947\u0932 \u0916\u093e\u0924\u093e \u0939\u094b\u0964 \u092f\u0939 \u0938\u0941\u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0915\u0930\u0928\u093e \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u0948 \u0915\u093f \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f, \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0935\u093f\u0936\u0947\u0937 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u0947 \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0930\u0942\u092a \u0938\u0947 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0939\u094b\u0964<br><br>\n\n<div style=\"background:#fff9c4;border:2px solid #fbc02d;padding:8px;border-radius:8px;text-align:center;font-weight:bold;\">\n\u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923:<br>\n\u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u0947 \u0935\u093f\u0935\u0930\u0923 \u0938\u094d\u0924\u0930 \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u092c\u0928\u093e\u0913<br>\n\u0938\u093e\u092e\u093e\u0928\u094d\u092f \u092a\u094d\u0930\u0936\u094d\u0928 {\u0939\u094b\u0917\u0940, \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u0940}<br>\n\u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u092a\u094d\u0930\u0936\u094d\u0928 {\u0928\u0939\u0940\u0902, \u092c\u0942\u0901\u0926\u093e-\u092c\u093e\u0901\u0926\u0940, \u0939\u0932\u094d\u0915\u0940, \u092d\u093e\u0930\u0940}\n<\/div>\n\n<\/div><\/div>\n\n<div id=\"c73-4\" style=\"display:none;\"><div style=\"background:#6a1b9a;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe3 \u092d\u093e\u0917 4\/4 - 7.3.2 \u0918\u091f\u0928\u093e\u090f\u0901 \u0936\u0941\u0926\u094d\u0927 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:8px 10px;font-weight:bold;\">7.3.2 \u0918\u091f\u0928\u093e\u090f\u0901<\/div>\n\u0915\u094b\u0908 \u0918\u091f\u0928\u093e \u090f\u0915 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e \u0905\u0925\u0935\u093e \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u093e \u0938\u0902\u092f\u094b\u091c\u0928 \u0939\u094b\u0924\u0940 \u0939\u0948 \u091c\u094b \u0924\u092c \u0918\u091f\u093f\u0924 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948 \u091c\u092c \u0906\u092a \u0915\u094b\u0908 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0917\u0924\u093f\u0935\u093f\u0927\u093f \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0939 \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0938\u0947 \u0935\u093f\u0936\u0947\u0937 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u093e \u091a\u092f\u0928 \u0915\u0930\u0928\u0947 \u091c\u0948\u0938\u093e \u0939\u0948\u0964 \u0915\u094b\u0908 \u0918\u091f\u0928\u093e, \u090f\u0915 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0915\u093e \u0909\u092a\u0938\u092e\u0941\u091a\u094d\u091a\u092f (\u0938\u092c\u0938\u0947\u091f) \u0939\u094b\u0924\u0940 \u0939\u0948\u0964<br><br>\n\n<b>\u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0914\u0930 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u0909\u0926\u093e\u0939\u0930\u0923:<\/b><br><br>\n\n<b>1. \u0926\u094b \u0938\u093f\u0915\u094d\u0915\u094b\u0902 \u0915\u094b \u0909\u091b\u093e\u0932\u0928\u093e<\/b><br>\n- \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u2014 \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e, \u091c\u0948\u0938\u0947\u2014 \u091a\u093f\u0924-\u091a\u093f\u0924, \u091a\u093f\u0924-\u092a\u091f, \u092a\u091f-\u091a\u093f\u0924, \u092a\u091f-\u092a\u091f\u0964 S=\u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f={HH,HT,TH,TT}<br>\n- \u0918\u091f\u0928\u093e\u2014 \u2018\u0915\u092e-\u0938\u0947-\u0915\u092e \u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u093e \u091a\u093f\u0924 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964\u2019 E={HH,HT,TH}<br>\nn(S)=4, n(E)=3, P(E)=3\/4<br><br>\n\n<b>2. \u0937\u091f\u094d\u092b\u0932\u0915\u0940\u092f \u092a\u093e\u0938\u093e \u092b\u0947\u0902\u0915\u0928\u093e<\/b><br>\n- \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u20141 \u0938\u0947 6 \u0924\u0915 \u0905\u0902\u0915\u093f\u0924 \u0938\u092d\u0940 \u092b\u0932\u0915\u0964 S={1,2,3,4,5,6}<br>\n- \u0918\u091f\u0928\u093e\u2014 \u2018\u092a\u093e\u0938\u0947 \u092a\u0930 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0938\u0902\u0916\u094d\u092f\u093e 4 \u0938\u0947 \u0905\u0927\u093f\u0915 \u0939\u0948\u0964\u2019 E={5,6}<br>\nn(E)=2, P(E)=2\/6=1\/3<br><br>\n\n<b>3. \u091f\u094b\u0915\u0930\u0940 \u0938\u0947 \u092b\u0932 \u0928\u093f\u0915\u093e\u0932\u0928\u093e<\/b><br>\n- \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u2014 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u092b\u0932 \u091c\u094b \u0906\u092a \u091f\u094b\u0915\u0930\u0940 \u0938\u0947 \u0928\u093f\u0915\u093e\u0932 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u091c\u0948\u0938\u0947\u2014 \u0938\u0947\u092c, \u0915\u0947\u0932\u093e \u0914\u0930 \u0938\u0902\u0924\u0930\u093e\u0964 S={\u0938\u0947\u092c, \u0915\u0947\u0932\u093e, \u0938\u0902\u0924\u0930\u093e}<br>\n- \u0918\u091f\u0928\u093e\u2014 \u2018\u0935\u0939 \u092b\u0932 \u0928\u093f\u0915\u093e\u0932\u0928\u093e \u091c\u094b \u092a\u0940\u0932\u093e \u0939\u094b\u0964\u2019 E={\u0915\u0947\u0932\u093e}<br>\nn(S)=3, n(E)=1, P(E)=1\/3<br><br>\n\n<div style=\"background:#ffebee;border:3px solid #d32f2f;padding:10px;border-radius:10px;text-align:center;font-weight:bold;\">\n\u2705 \u0936\u0941\u0926\u094d\u0927 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 FINAL<br>\nS = \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e<br>\nn(S)=\u0906\u0915\u093e\u0930<br>\nE = S \u0915\u093e \u0909\u092a\u0938\u092e\u0941\u091a\u094d\u091a\u092f, \u0918\u091f\u0928\u093e<br>\nP(E)=n(E)\/n(S)<br>\n\u0909\u0926\u093e\u0939\u0930\u0923: \u0926\u094b \u0938\u093f\u0915\u094d\u0915\u0947 S4, \u0915\u092e-\u0938\u0947-\u0915\u092e \u090f\u0915 H E3 P3\/4<br>\n\u092a\u093e\u0938\u093e 4 \u0938\u0947 \u0905\u0927\u093f\u0915 E{5,6} P1\/3<br>\n\u092b\u0932 \u092a\u0940\u0932\u093e E{\u0915\u0947\u0932\u093e} P1\/3\n<\/div>\n\n<\/div><\/div>\n<\/div>\n\n<div style=\"background:#0a5c4b;padding:12px;display:flex;justify-content:space-between;align-items:center;\">\n<button type=\"button\" id=\"c73p\" style=\"background:#ffcc00;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">&larr; \u092a\u0940\u091b\u0947<\/button>\n<span id=\"c73i\" style=\"background:#fff;color:#0a5c4b;padding:8px 20px;border-radius:20px;font-weight:bold;\">1 \/ 4<\/span>\n<button type=\"button\" id=\"c73n\" style=\"background:#00e676;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">\u0906\u0917\u0947 &rarr;<\/button>\n<\/div>\n<\/div>\n\n<script>\n(function(){\nvar c=1,t=4;\nfunction s(n){\nfor(var i=1;i<=t;i++){\nvar el=document.getElementById('c73-'+i);\nif(el)el.style.display=(i===n?'block':'none');\n}\ndocument.getElementById('c73i').textContent=n+' \/ '+t;\nc=n;\n}\ndocument.getElementById('c73n').onclick=function(){var n=c+1;if(n>t)n=1;s(n);};\ndocument.getElementById('c73p').onclick=function(){var n=c-1;if(n<1)n=t;s(n);};\n})();\n<\/script><\/div><\/div><\/div><\/div><div id=\"pg-977-6\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-977-6-0\"  class=\"panel-grid-cell\" ><div id=\"panel-977-6-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"6\" ><div class=\"textwidget custom-html-widget\"><div id=\"Q73-FINAL\" style=\"max-width:860px;margin:12px auto;border:4px solid #0f5e4b;border-radius:14px;background:#e6f4f1;font-family:'Noto Sans Devanagari',Arial,sans-serif;overflow:hidden;\">\n<div style=\"background:#0a5c4b;padding:10px;text-align:center;\"><span style=\"background:#fff;color:#0a3d33;padding:7px 20px;border-radius:20px;font-weight:bold;font-size:13px;\">\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.3 - Q1 Q2 Q3 - \u092a\u0947\u091c 168 \u0936\u0941\u0926\u094d\u0927<\/span><\/div>\n\n<div style=\"padding:10px 12px;\">\n<div id=\"q73f-1\" style=\"display:block;\"><div style=\"background:#d32f2f;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd34 \u092d\u093e\u0917 1\/4 - Q1 \u0914\u0930 Q2<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#ffebee;border-left:4px solid #d32f2f;padding:8px 10px;font-weight:bold;\">\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.3<\/div>\n\n<b>Q1. \u091c\u092c \u090f\u0915 \u0937\u091f\u094d\u092b\u0932\u0915\u0940\u092f \u092a\u093e\u0938\u093e \u092b\u0947\u0902\u0915\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u092e\u0947\u0902 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093f\u0924\u0928\u0940 \u0939\u094b\u0917\u0940?<\/b><br>\n\u0939\u0932: S={1,2,3,4,5,6}<br>\nn(S)=6<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 6<\/span><br><br>\n\n<b>Q2. \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f S \u0932\u093f\u0916\u093f\u090f\u2014<\/b><br>\n<b>(i) \u090f\u0915 \u0938\u093e\u0925 \u090f\u0915 \u092a\u093e\u0938\u093e \u092b\u0947\u0902\u0915\u0928\u093e \u0914\u0930 \u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u0928\u093e\u0964<\/b><br>\n\u0939\u0932: \u092a\u093e\u0938\u093e 6 \u092a\u0930\u093f\u0923\u093e\u092e, \u0938\u093f\u0915\u094d\u0915\u093e 2 \u092a\u0930\u093f\u0923\u093e\u092e, \u0915\u0941\u0932 12<br>\nS={1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T}<br>\nn(S)=12<br><br>\n\n<b>(ii) -5 \u0914\u0930 +5 \u0915\u0947 \u092e\u0927\u094d\u092f \u090f\u0915 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0915\u093e \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u091a\u092f\u0928 \u0915\u0930\u0928\u093e\u0964<\/b><br>\n\u0939\u0932: -5 \u0914\u0930 +5 \u0915\u0947 \u092e\u0927\u094d\u092f \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 = -4,-3,-2,-1,0,1,2,3,4 (\u092f\u0926\u093f -5 \u0914\u0930 +5 \u0938\u092e\u094d\u092e\u093f\u0932\u093f\u0924 \u0928\u0939\u0940\u0902)<br>\n\u092f\u0926\u093f -5 \u0914\u0930 +5 \u0938\u092e\u094d\u092e\u093f\u0932\u093f\u0924 \u0939\u0948\u0902 \u0924\u094b S={-5,-4,-3,-2,-1,0,1,2,3,4,5}<br>\n\u0915\u093f\u0924\u093e\u092c \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u092e\u0927\u094d\u092f \u092e\u0947\u0902 -4 \u0938\u0947 4: S={-4,-3,-2,-1,0,1,2,3,4}, n(S)=9<br>\n<span style=\"background:#fff9c4;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0928\u094b\u091f: \u092f\u0926\u093f \u0938\u092e\u094d\u092e\u093f\u0932\u093f\u0924 \u0924\u094b n=11<\/span><br><br>\n\n<b>(iii) \u090f\u0915 \u092c\u0915\u094d\u0938\u0947 \u092e\u0947\u0902 5 \u0939\u0930\u0940 \u0914\u0930 7 \u0932\u093e\u0932 \u0917\u0947\u0902\u0926\u0947\u0902 \u0939\u0948\u0902\u0964 \u090f\u0915 \u0917\u0947\u0902\u0926 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u0928\u093f\u0915\u093e\u0932\u0940 \u0917\u0908\u0964<\/b><br>\n\u0939\u0932: S={\u0939\u0930\u0940 \u0917\u0947\u0902\u0926, \u0932\u093e\u0932 \u0917\u0947\u0902\u0926} \u092f\u093e \u0917\u0947\u0902\u0926\u094b\u0902 \u0915\u094b \u0905\u0932\u0917 \u092e\u093e\u0928\u0947\u0902 \u0924\u094b<br>\nS={H1,H2,H3,H4,H5,R1,R2,R3,R4,R5,R6,R7}, n(S)=12<br>\n\u0938\u0930\u0932 \u0930\u0942\u092a: S={\u0939\u0930\u0940, \u0932\u093e\u0932}, n=2<br>\n\n<\/div><\/div>\n\n<div id=\"q73f-2\" style=\"display:none;\"><div style=\"background:#1565c0;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd35 \u092d\u093e\u0917 2\/4 - Q3 \u092e\u0947\u0932\u0947 \u0935\u093e\u0932\u093e<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<b>Q3. \u090f\u0915 \u0917\u094d\u0930\u093e\u092e\u0940\u0923 \u092e\u0947\u0932\u0947 \u092e\u0947\u0902 3 \u0932\u094b\u0915\u092a\u094d\u0930\u093f\u092f \u0928\u093e\u0936\u094d\u0924\u0947 \u0909\u092a\u0932\u092c\u094d\u0927 \u0939\u0948\u0902\u2014 \u0938\u092e\u094b\u0938\u093e, \u092a\u0915\u094c\u0921\u093c\u093e \u0914\u0930 \u092d\u091c\u093f\u092f\u093e\u0964 \u092a\u0947\u092f \u092a\u0926\u093e\u0930\u094d\u0925\u094b\u0902 \u092e\u0947\u0902 \u0917\u094d\u0930\u093e\u092e\u0940\u0923 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u091a\u093e\u092f \u092f\u093e \u0932\u0938\u094d\u0938\u0940 \u0915\u093e \u091a\u092f\u0928 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/b><br>\n<b>(i) \u0928\u093e\u0936\u094d\u0924\u0947 \u0914\u0930 \u092a\u0947\u092f \u0915\u0947 \u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u0938\u0902\u092f\u094b\u091c\u0928 \u091c\u094b \u090f\u0915 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u092e\u0947\u0932\u0947 \u092e\u0947\u0902 \u091a\u092f\u0928\u093f\u0924 \u0915\u0930 \u0938\u0915\u0924\u093e \u0939\u0948, \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0938\u0942\u091a\u0940\u092c\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f\u0964<\/b><br>\n\u0939\u0932:<br>\n\u0928\u093e\u0936\u094d\u0924\u093e = {\u0938\u092e\u094b\u0938\u093e(S), \u092a\u0915\u094c\u0921\u093c\u093e(P), \u092d\u091c\u093f\u092f\u093e(B)}<br>\n\u092a\u0947\u092f = {\u091a\u093e\u092f(T), \u0932\u0938\u094d\u0938\u0940(L)}<br>\nS={ (\u0938\u092e\u094b\u0938\u093e, \u091a\u093e\u092f), (\u0938\u092e\u094b\u0938\u093e, \u0932\u0938\u094d\u0938\u0940), (\u092a\u0915\u094c\u0921\u093c\u093e, \u091a\u093e\u092f), (\u092a\u0915\u094c\u0921\u093c\u093e, \u0932\u0938\u094d\u0938\u0940), (\u092d\u091c\u093f\u092f\u093e, \u091a\u093e\u092f), (\u092d\u091c\u093f\u092f\u093e, \u0932\u0938\u094d\u0938\u0940) }<br>\n\u0905\u0902\u0917\u094d\u0930\u0947\u091c\u0940 \u092e\u0947\u0902: S={(S,T),(S,L),(P,T),(P,L),(B,T),(B,L)}<br>\nn(S)=3\u00d72=6<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 S \u092e\u0947\u0902 6 \u0938\u0902\u092f\u094b\u091c\u0928<\/span><br><br>\n\n<b>(ii) \u2018\u0938\u092e\u094b\u0938\u0947 \u0915\u094b \u0928\u093e\u0936\u094d\u0924\u0947 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u091a\u092f\u0928\u093f\u0924 \u0915\u0930\u0928\u0947\u2019 \u0915\u0940 \u0918\u091f\u0928\u093e \u0915\u094b \u0938\u0942\u091a\u0940\u092c\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f\u0964<\/b><br>\n\u0939\u0932:<br>\nE= {\u0938\u092e\u094b\u0938\u0947 \u0935\u093e\u0932\u093e \u0938\u0902\u092f\u094b\u091c\u0928}<br>\nE={ (\u0938\u092e\u094b\u0938\u093e, \u091a\u093e\u092f), (\u0938\u092e\u094b\u0938\u093e, \u0932\u0938\u094d\u0938\u0940) }<br>\nn(E)=2<br>\nP(E)=n(E)\/n(S)=2\/6=1\/3\u22480.333<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 E={(\u0938\u092e\u094b\u0938\u093e,\u091a\u093e\u092f),(\u0938\u092e\u094b\u0938\u093e,\u0932\u0938\u094d\u0938\u0940)}, P=1\/3<\/span><br>\n\n<\/div><\/div>\n\n<div id=\"q73f-3\" style=\"display:none;\"><div style=\"background:#2e7d32;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe2 \u092d\u093e\u0917 3\/4 - \u0938\u0942\u0924\u094d\u0930 \u0936\u0941\u0926\u094d\u0927<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:2;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#fff9c4;border:2px solid #fbc02d;padding:10px;border-radius:10px;text-align:center;font-weight:bold;\">\n\u0936\u0941\u0926\u094d\u0927 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 FINAL \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.3<br><br>\nQ1 \u092a\u093e\u0938\u093e S={1-6} n=6<br>\nQ2 (i) \u092a\u093e\u0938\u093e+\u0938\u093f\u0915\u094d\u0915\u093e S 12 \u092a\u0930\u093f\u0923\u093e\u092e {1H-6T}<br>\n(ii) -5 \u0938\u0947 +5 \u092e\u0927\u094d\u092f \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 S{-4 \u0938\u0947 4} n9 (\u0938\u092e\u094d\u092e\u093f\u0932\u093f\u0924 \u0924\u094b 11)<br>\n(iii) 5 \u0939\u0930\u0940 7 \u0932\u093e\u0932 S 12 \u0917\u0947\u0902\u0926\u0947\u0902 \u092f\u093e {\u0939\u0930\u0940,\u0932\u093e\u0932}<br>\nQ3 \u092e\u0947\u0932\u093e 3 \u0928\u093e\u0936\u094d\u0924\u0947\u00d72 \u092a\u0947\u092f =6 S, \u0938\u092e\u094b\u0938\u093e \u0918\u091f\u0928\u093e 2 \u092a\u0930\u093f\u0923\u093e\u092e P1\/3\n<\/div><br>\n\n<div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:8px 10px;font-weight:bold;\">\u0938\u0942\u0924\u094d\u0930 \u092f\u093e\u0926 \u0930\u0916\u094b:<\/div>\nS = \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e<br>\nn(S)=\u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e<br>\nE = S \u0915\u093e \u0909\u092a\u0938\u092e\u0941\u091a\u094d\u091a\u092f<br>\nP(E)=n(E)\/n(S)<br>\n0\u2264P\u22641<br><br>\n\n\u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 \u092e\u0947\u0902 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928:<br>\n- \u092a\u093e\u0938\u093e+\u0938\u093f\u0915\u094d\u0915\u093e \u0915\u0941\u0932 \u092a\u0930\u093f\u0923\u093e\u092e 12<br>\n- \u0926\u094b \u0938\u093f\u0915\u094d\u0915\u0947 4, \u0924\u0940\u0928 \u0938\u093f\u0915\u094d\u0915\u0947 8, \u0926\u094b \u092a\u093e\u0938\u0947 36<br>\n- \u0938\u092e\u094b\u0938\u093e \u091c\u0948\u0938\u093e \u0938\u0902\u092f\u094b\u091c\u0928 \u092a\u094d\u0930\u0936\u094d\u0928 - \u0917\u0941\u0923\u093e \u0928\u093f\u092f\u092e<br>\n\n<\/div><\/div>\n\n<div id=\"q73f-4\" style=\"display:none;\"><div style=\"background:#6a1b9a;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe3 \u092d\u093e\u0917 4\/4 - \u0938\u093e\u0930\u093e\u0902\u0936<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:2;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#ffebee;border:3px solid #d32f2f;padding:10px;border-radius:10px;text-align:center;font-weight:bold;\">\n\u2705 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.3 Q1 Q2 Q3 \u0936\u0941\u0926\u094d\u0927 \u0916\u0924\u094d\u092e - \u090f\u0915 \u092d\u0940 \u0915\u0926\u092e \u0905\u092a\u0928\u0947 \u092e\u0928 \u0938\u0947 \u0928\u0939\u0940\u0902<br><br>\nQ1: \u092a\u093e\u0938\u093e n(S)=6<br>\nQ2 (i) \u092a\u093e\u0938\u093e+\u0938\u093f\u0915\u094d\u0915\u093e S=12 {1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T}<br>\n(ii) -5 +5 \u092e\u0927\u094d\u092f \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 S={-4,-3,-2,-1,0,1,2,3,4} n9 (\u0938\u092e\u094d\u092e\u093f\u0932\u093f\u0924 11)<br>\n(iii) \u092c\u0915\u094d\u0938\u093e 5 \u0939\u0930\u0940 7 \u0932\u093e\u0932 n12<br>\nQ3 (i) \u092e\u0947\u0932\u093e S 6 \u0938\u0902\u092f\u094b\u091c\u0928 (\u0938\u092e\u094b\u0938\u093e,\u091a\u093e\u092f),(\u0938\u092e\u094b\u0938\u093e,\u0932\u0938\u094d\u0938\u0940),(\u092a\u0915\u094c\u0921\u093c\u093e,\u091a\u093e\u092f),(\u092a\u0915\u094c\u0921\u093c\u093e,\u0932\u0938\u094d\u0938\u0940),(\u092d\u091c\u093f\u092f\u093e,\u091a\u093e\u092f),(\u092d\u091c\u093f\u092f\u093e,\u0932\u0938\u094d\u0938\u0940)<br>\n(ii) \u0938\u092e\u094b\u0938\u093e \u0918\u091f\u0928\u093e E 2 \u0938\u0902\u092f\u094b\u091c\u0928 P1\/3\n<\/div>\n\n<\/div><\/div>\n<\/div>\n\n<div style=\"background:#0a5c4b;padding:12px;display:flex;justify-content:space-between;align-items:center;\">\n<button type=\"button\" id=\"q73fp\" style=\"background:#ffcc00;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">&larr; \u092a\u0940\u091b\u0947<\/button>\n<span id=\"q73fi\" style=\"background:#fff;color:#0a5c4b;padding:8px 20px;border-radius:20px;font-weight:bold;\">1 \/ 4<\/span>\n<button type=\"button\" id=\"q73fn\" style=\"background:#00e676;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">\u0906\u0917\u0947 &rarr;<\/button>\n<\/div>\n<\/div>\n\n<script>\n(function(){\nvar c=1,t=4;\nfunction s(n){\nfor(var i=1;i<=t;i++){\nvar el=document.getElementById('q73f-'+i);\nif(el)el.style.display=(i===n?'block':'none');\n}\ndocument.getElementById('q73fi').textContent=n+' \/ '+t;\nc=n;\n}\ndocument.getElementById('q73fn').onclick=function(){var n=c+1;if(n>t)n=1;s(n);};\ndocument.getElementById('q73fp').onclick=function(){var n=c-1;if(n<1)n=t;s(n);};\n})();\n<\/script><\/div><\/div><\/div><\/div><div id=\"pg-977-7\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-977-7-0\"  class=\"panel-grid-cell\" ><div id=\"panel-977-7-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"7\" ><div class=\"textwidget custom-html-widget\"><div id=\"CH74-TREE\" style=\"max-width:860px;margin:12px auto;border:4px solid #0f5e4b;border-radius:14px;background:#e6f4f1;font-family:'Noto Sans Devanagari',Arial,sans-serif;overflow:hidden;\">\n<div style=\"background:#0a5c4b;padding:10px;text-align:center;\"><span style=\"background:#fff;color:#0a3d33;padding:7px 20px;border-radius:20px;font-weight:bold;font-size:13px;\">7.4 \u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916 - \u092a\u0947\u091c 169 \u0936\u0941\u0926\u094d\u0927 FINAL<\/span><\/div>\n\n<div style=\"padding:10px 12px;\">\n<div id=\"t74-1\" style=\"display:block;\"><div style=\"background:#d32f2f;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd34 \u092d\u093e\u0917 1\/3 - \u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916 \u0915\u094d\u092f\u093e \u0939\u0948?<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:2;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#ffebee;border-left:4px solid #d32f2f;padding:8px 10px;font-weight:bold;\">7.4 \u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916<\/div>\n\u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916 \u090f\u0915 \u0926\u0943\u0936\u094d\u092f\u093e\u0902\u0915\u0928 \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u092c\u0939\u0941-\u091a\u0930\u0923\u0940\u092f \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0947 \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b \u0938\u0942\u091a\u0940\u092c\u0926\u094d\u0927 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u090f\u0915 \u092c\u0939\u0941-\u091a\u0930\u0923\u0940\u092f \u092a\u094d\u0930\u092f\u094b\u0917 \u092e\u0947\u0902 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u092a\u0930\u0940\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u0940 \u090f\u0915 \u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e \u0938\u092e\u093e\u0939\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948, \u091c\u0948\u0938\u0947\u2014 \u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u094b \u0926\u094b \u092c\u093e\u0930 \u0909\u091b\u093e\u0932\u0928\u093e \u0905\u0925\u0935\u093e \u090f\u0915 \u092a\u093e\u0938\u0947 \u0915\u094b \u0924\u0940\u0928 \u092c\u093e\u0930 \u092b\u0947\u0902\u0915\u0928\u093e\u0964 \u0935\u0943\u0915\u094d\u0937 \u0915\u0940 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0936\u093e\u0916\u093e \u090f\u0915 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u0940 \u0939\u0948 \u0914\u0930 \u0907\u0928 \u0936\u093e\u0916\u093e\u0913\u0902 \u0915\u093e \u0906\u0917\u0947 \u0935\u093f\u092d\u093e\u091c\u0928 \u0906\u0917\u093e\u092e\u0940 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092a\u0925\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948\u0964<br><br>\n\n\u090f\u0915 \u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u0948\u2014<br>\n- \u092c\u0939\u0941-\u091a\u0930\u0923\u0940\u092f \u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u0915\u093e \u0926\u0943\u0936\u094d\u092f\u093e\u0902\u0915\u0928 \u091c\u0939\u093e\u0901 \u0906\u0930\u0902\u092d \u0938\u0947 \u0938\u092e\u093e\u092a\u0928 \u0924\u0915 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u0925, \u090f\u0915 \u092a\u0942\u0930\u094d\u0923 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948\u0964<br>\n- \u090f\u0915 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0915\u0947 \u0938\u092d\u0940 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b \u0938\u0942\u091a\u0940\u092c\u0926\u094d\u0927 \u0915\u0930\u0928\u093e\u0964<br><br>\n\n\u0907\u0938 \u0905\u0927\u094d\u092f\u093e\u092f \u092e\u0947\u0902 \u0905\u092d\u0940 \u0924\u0915 \u0939\u092e\u0928\u0947 \u090f\u0915\u0932-\u091a\u0930\u0923\u0940\u092f \u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u0915\u094b \u0926\u0947\u0916\u093e \u0939\u0948\u0964 \u0906\u0907\u090f, \u0939\u092e \u092c\u0939\u0941-\u091a\u0930\u0923\u0940\u092f \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u093e \u090f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 \u0926\u0947\u0916\u0924\u0947 \u0939\u0948\u0902\u0964<br><br>\n\n<div style=\"background:#fff9c4;border-left:4px solid #fbc02d;padding:8px 10px;font-weight:bold;\">\u0909\u0926\u093e\u0939\u0930\u0923 7\u2014 \u092a\u094d\u0930\u092f\u094b\u0917\u2014 \u090f\u0915 \u0928\u093f\u0937\u094d\u092a\u0915\u094d\u0937 \u0938\u093f\u0915\u094d\u0915\u093e \u0926\u094b \u092c\u093e\u0930 \u0909\u091b\u093e\u0932\u0928\u093e\u0964<\/div>\n\u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916 (\u091a\u093f\u0924\u094d\u0930 7.6 \u0926\u0947\u0916\u093f\u090f)<br>\n\u090f\u0915 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u092a\u094d\u0930\u0925\u092e \u0909\u091b\u093e\u0932 \u092e\u0947\u0902 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e \u0924\u0915 \u090f\u0915 \u0930\u0947\u0916\u093e \u0916\u0940\u0902\u091a\u093f\u090f\u0964 \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u0930\u093f\u0923\u093e\u092e \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e \u0924\u0915 \u0926\u094b \u0930\u0947\u0916\u093e\u090f\u0901 \u0916\u0940\u0902\u091a\u093f\u090f\u0964 \u0915\u094d\u092f\u093e \u0906\u092a\u0928\u0947 \u0926\u0947\u0916\u093e \u0915\u093f \u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916 4 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948?<br><br>\n\n\u0905\u0924\u0903 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f S={HH, HT, TH, TT}<br><br>\n\n<div style=\"background:#fff;border:2px solid #0f5e4b;border-radius:8px;padding:10px;\">\n\u092a\u094d\u0930\u0925\u092e \u0909\u091b\u093e\u0932 \u0926\u094d\u0935\u093f\u0924\u0940\u092f \u0909\u091b\u093e\u0932 \u092a\u0930\u093f\u0923\u093e\u092e<br>\n&nbsp;&nbsp;&nbsp;&nbsp;\u2022\u2014H\u2014\u2022\u2014H \u2192 HH<br>\n&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\u2022\u2014T \u2192 HT<br>\n&nbsp;&nbsp;&nbsp;&nbsp;\u2022\u2014T\u2014\u2022\u2014H \u2192 TH<br>\n&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\u2022\u2014T \u2192 TT<br>\n\u091a\u093f\u0924\u094d\u0930 7.6 \u2014 \u090f\u0915 \u0928\u093f\u0937\u094d\u092a\u0915\u094d\u0937 \u0938\u093f\u0915\u094d\u0915\u093e \u0926\u094b \u092c\u093e\u0930 \u0909\u091b\u093e\u0932\u0928\u0947 \u092a\u0930 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916\n<\/div>\n\n<\/div><\/div>\n\n<div id=\"t74-2\" style=\"display:none;\"><div style=\"background:#1565c0;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd35 \u092d\u093e\u0917 2\/3 - \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0914\u0930 \u0938\u0942\u0924\u094d\u0930<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:2;height:560px;overflow-y:auto;\">\n\n\u0907\u0938\u0915\u0947 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924, \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u0940 \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u0909\u0932\u094d\u0932\u0947\u0916 \u092a\u0930\u093f\u0923\u093e\u092e \u0926\u0930\u094d\u0936\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0936\u093e\u0916\u093e \u092a\u0930 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964<br><br>\n\n<div style=\"background:#ffebee;border:3px solid #d32f2f;padding:10px;border-radius:10px;text-align:center;font-weight:bold;font-size:16px;\">\n\u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e (P) = \u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \/ \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e<br>\nP(E)=n(E)\/n(S)\n<\/div><br>\n\n\u0906\u0907\u090f, \u0926\u094b \u092c\u093e\u0930 \u091a\u093f\u0924 \u0906\u0928\u0947 \u0915\u0940 \u0918\u091f\u0928\u093e \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0930\u0947\u0902\u0964 \u092f\u0939 \u092a\u0930\u093f\u0923\u093e\u092e HH \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964<br>\nHH \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e =1\/4=0.25 \u0905\u0925\u0935\u093e 25% \u0939\u0948\u0964<br><br>\n\n<div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:8px 10px;font-weight:bold;\">\u0938\u094b\u091a\u093f\u090f \u0914\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0940\u091c\u093f\u090f<\/div>\n\u0915\u094d\u092f\u093e \u0906\u092a \u090f\u0915 \u092c\u093e\u0930 \u091a\u093f\u0924 \u0914\u0930 \u090f\u0915 \u092c\u093e\u0930 \u092a\u091f \u0906\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902?<br>\n\u0939\u0932: \u090f\u0915 \u091a\u093f\u0924 \u090f\u0915 \u092a\u091f E={HT,TH}, n(E)=2, n(S)=4, P=2\/4=1\/2=0.5=50%<br><br>\n\n<b>\u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916 \u0938\u0947 \u0914\u0930 \u0909\u0926\u093e\u0939\u0930\u0923:<\/b><br>\n- \u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u093e 3 \u092c\u093e\u0930: \u0915\u0941\u0932 8 \u092a\u0930\u093f\u0923\u093e\u092e {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}<br>\n- \u092a\u093e\u0938\u093e+\u0938\u093f\u0915\u094d\u0915\u093e: 12 \u092a\u0930\u093f\u0923\u093e\u092e<br>\n- \u0926\u094b \u092a\u093e\u0938\u0947: 36 \u092a\u0930\u093f\u0923\u093e\u092e<br><br>\n\n<div style=\"background:#fff9c4;border:2px solid #fbc02d;padding:8px;border-radius:8px;text-align:center;font-weight:bold;\">\n\u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916 \u0928\u093f\u092f\u092e:<br>\n\u0939\u0930 \u091a\u0930\u0923 \u092e\u0947\u0902 \u0936\u093e\u0916\u093e\u090f\u0901 \u092c\u0928\u093e\u0913<br>\n\u0905\u0902\u0924 \u0924\u0915 \u092a\u0925 = \u090f\u0915 \u092a\u0942\u0930\u094d\u0923 \u092a\u0930\u093f\u0923\u093e\u092e<br>\n\u0915\u0941\u0932 \u092a\u0930\u093f\u0923\u093e\u092e = \u0936\u093e\u0916\u093e\u0913\u0902 \u0915\u093e \u0917\u0941\u0923\u093e\n<\/div>\n\n<\/div><\/div>\n\n<div id=\"t74-3\" style=\"display:none;\"><div style=\"background:#2e7d32;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe2 \u092d\u093e\u0917 3\/3 - \u0938\u093e\u0930\u093e\u0902\u0936 \u0936\u0941\u0926\u094d\u0927 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:2;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#e8f5e9;border-left:4px solid #2e7d32;padding:8px 10px;font-weight:bold;\">\u0936\u0941\u0926\u094d\u0927 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 FINAL - 7.4 \u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916<\/div>\n\n<b>\u092a\u0930\u093f\u092d\u093e\u0937\u093e:<\/b> \u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916 \u092c\u0939\u0941-\u091a\u0930\u0923\u0940\u092f \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0947 \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u093e \u0926\u0943\u0936\u094d\u092f \u0938\u0942\u091a\u0940\u092c\u0926\u094d\u0927\u0940\u0915\u0930\u0923 \u0939\u0948\u0964 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0936\u093e\u0916\u093e \u090f\u0915 \u092a\u0930\u093f\u0923\u093e\u092e, \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u0925 \u090f\u0915 \u092a\u0942\u0930\u094d\u0923 \u092a\u0930\u093f\u0923\u093e\u092e\u0964<br><br>\n\n<b>\u0909\u092a\u092f\u094b\u0917:<\/b> 1. \u092c\u0939\u0941-\u091a\u0930\u0923\u0940\u092f \u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u0915\u093e \u0926\u0943\u0936\u094d\u092f\u093e\u0902\u0915\u0928 2. \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0915\u0947 \u0938\u092d\u0940 \u092a\u0930\u093f\u0923\u093e\u092e \u0938\u0942\u091a\u0940\u092c\u0926\u094d\u0927<br><br>\n\n<b>\u0909\u0926\u093e\u0939\u0930\u0923 7 \u0936\u0941\u0926\u094d\u0927:<\/b> \u0938\u093f\u0915\u094d\u0915\u093e \u0926\u094b \u092c\u093e\u0930<br>\n\u092a\u094d\u0930\u0925\u092e H \u2192 \u0926\u094d\u0935\u093f\u0924\u0940\u092f H \u2192 HH<br>\n\u092a\u094d\u0930\u0925\u092e H \u2192 \u0926\u094d\u0935\u093f\u0924\u0940\u092f T \u2192 HT<br>\n\u092a\u094d\u0930\u0925\u092e T \u2192 \u0926\u094d\u0935\u093f\u0924\u0940\u092f H \u2192 TH<br>\n\u092a\u094d\u0930\u0925\u092e T \u2192 \u0926\u094d\u0935\u093f\u0924\u0940\u092f T \u2192 TT<br>\nS={HH,HT,TH,TT}, n=4<br><br>\n\n<b>\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e:<\/b><br>\nP(HH)=1\/4=0.25<br>\nP(\u090f\u0915 H \u090f\u0915 T)=2\/4=1\/2=0.5<br>\nP(\u0915\u092e-\u0938\u0947-\u0915\u092e \u090f\u0915 H)=3\/4=0.75<br><br>\n\n<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:10px;border-radius:10px;text-align:center;font-weight:bold;\">\n\u2705 7.4 \u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916 \u0936\u0941\u0926\u094d\u0927 \u0916\u0924\u094d\u092e<br>\n\u0935\u0943\u0915\u094d\u0937 = \u092c\u0939\u0941-\u091a\u0930\u0923\u0940\u092f \u0938\u092d\u0940 \u092a\u0930\u093f\u0923\u093e\u092e \u0926\u0943\u0936\u094d\u092f<br>\n\u0939\u0930 \u092a\u0925 = \u090f\u0915 \u092a\u0930\u093f\u0923\u093e\u092e<br>\n\u0938\u093f\u0915\u094d\u0915\u093e 2 \u092c\u093e\u0930 4 \u092a\u0930\u093f\u0923\u093e\u092e<br>\n\u0938\u093f\u0915\u094d\u0915\u093e 3 \u092c\u093e\u0930 8 \u092a\u0930\u093f\u0923\u093e\u092e<br>\n\u092a\u093e\u0938\u093e+\u0938\u093f\u0915\u094d\u0915\u093e 12, \u0926\u094b \u092a\u093e\u0938\u0947 36<br>\nP(E)=n(E)\/n(S)<br>\nP(HH)=1\/4, P(HT+TH)=1\/2\n<\/div>\n\n<\/div><\/div>\n<\/div>\n\n<div style=\"background:#0a5c4b;padding:12px;display:flex;justify-content:space-between;align-items:center;\">\n<button type=\"button\" id=\"t74p\" style=\"background:#ffcc00;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">&larr; \u092a\u0940\u091b\u0947<\/button>\n<span id=\"t74i\" style=\"background:#fff;color:#0a5c4b;padding:8px 20px;border-radius:20px;font-weight:bold;\">1 \/ 3<\/span>\n<button type=\"button\" id=\"t74n\" style=\"background:#00e676;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">\u0906\u0917\u0947 &rarr;<\/button>\n<\/div>\n<\/div>\n\n<script>\n(function(){\nvar c=1,t=3;\nfunction s(n){\nfor(var i=1;i<=t;i++){\nvar el=document.getElementById('t74-'+i);\nif(el)el.style.display=(i===n?'block':'none');\n}\ndocument.getElementById('t74i').textContent=n+' \/ '+t;\nc=n;\n}\ndocument.getElementById('t74n').onclick=function(){var n=c+1;if(n>t)n=1;s(n);};\ndocument.getElementById('t74p').onclick=function(){var n=c-1;if(n<1)n=t;s(n);};\n})();\n<\/script><\/div><\/div><\/div><\/div><div id=\"pg-977-8\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-977-8-0\"  class=\"panel-grid-cell\" ><div id=\"panel-977-8-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"8\" ><div class=\"textwidget custom-html-widget\"><div id=\"Q74-TREE-Q\" style=\"max-width:860px;margin:12px auto;border:4px solid #0f5e4b;border-radius:14px;background:#e6f4f1;font-family:'Noto Sans Devanagari',Arial,sans-serif;overflow:hidden;\">\n<div style=\"background:#0a5c4b;padding:10px;text-align:center;\"><span style=\"background:#fff;color:#0a3d33;padding:7px 20px;border-radius:20px;font-weight:bold;font-size:13px;\">\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.4 - Q1 Q2 - \u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916 \u0936\u0941\u0926\u094d\u0927<\/span><\/div>\n\n<div style=\"padding:10px 12px;\">\n<div id=\"q74t-1\" style=\"display:block;\"><div style=\"background:#d32f2f;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd34 \u092d\u093e\u0917 1\/3 - Q1 \u091f\u094b\u0915\u0930\u0940 A B<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#ffebee;border-left:4px solid #d32f2f;padding:8px 10px;font-weight:bold;\">\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.4 Q1 \u0936\u0941\u0926\u094d\u0927<\/div>\n<b>Q1. A \u0914\u0930 B \u092b\u0932\u094b\u0902 \u0915\u0940 \u0926\u094b \u091f\u094b\u0915\u0930\u093f\u092f\u093e\u0901 \u0939\u0948\u0902\u0964 \u091f\u094b\u0915\u0930\u0940 A \u092e\u0947\u0902 \u090f\u0915 \u0938\u0947\u092c \u0914\u0930 \u0926\u094b \u0938\u0902\u0924\u0930\u0947 \u0939\u0948\u0902\u0964 \u091f\u094b\u0915\u0930\u0940 B \u092e\u0947\u0902 \u090f\u0915 \u0915\u0947\u0932\u093e \u0914\u0930 \u090f\u0915 \u0906\u092e \u0939\u0948\u0964 \u0906\u092a \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u091f\u094b\u0915\u0930\u0940 \u0938\u0947 \u090f\u0915 \u092b\u0932 \u0928\u093f\u0915\u093e\u0932\u0924\u0947 \u0939\u0948\u0902\u2014 (i) \u092b\u0932\u094b\u0902 \u0915\u0947 \u0938\u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092f\u0941\u0917\u094d\u092e\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0941\u0906 \u090f\u0915 \u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916 \u0916\u0940\u0902\u091a\u093f\u090f\u0964 (ii) \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0915\u094b \u0938\u0942\u091a\u0940\u092c\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f\u0964 (iii) \u090f\u0915 \u0938\u0947\u092c \u0914\u0930 \u090f\u0915 \u0915\u0947\u0932\u093e \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u0940?<\/b><br><br>\n\n<b>\u0939\u0932:<\/b><br>\n\u091f\u094b\u0915\u0930\u0940 A: {\u0938\u0947\u092c, \u0938\u0902\u0924\u0930\u093e1, \u0938\u0902\u0924\u0930\u093e2} \u092a\u0930 \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u0947 {\u0938\u0947\u092c, \u0938\u0902\u0924\u0930\u093e}<br>\n\u091f\u094b\u0915\u0930\u0940 B: {\u0915\u0947\u0932\u093e, \u0906\u092e}<br><br>\n\n<b>(i) \u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916:<\/b><br>\n<div style=\"background:#fff;border:2px solid #0f5e4b;border-radius:8px;padding:10px;font-family:monospace;\">\n\u091f\u094b\u0915\u0930\u0940 A \u2192 \u091f\u094b\u0915\u0930\u0940 B \u2192 \u092a\u0930\u093f\u0923\u093e\u092e<br>\n\u2022 \u0938\u0947\u092c \u2192 \u0915\u0947\u0932\u093e \u2192 (\u0938\u0947\u092c,\u0915\u0947\u0932\u093e)<br>\n\u2022 \u0938\u0947\u092c \u2192 \u0906\u092e \u2192 (\u0938\u0947\u092c,\u0906\u092e)<br>\n\u2022 \u0938\u0902\u0924\u0930\u093e \u2192 \u0915\u0947\u0932\u093e \u2192 (\u0938\u0902\u0924\u0930\u093e,\u0915\u0947\u0932\u093e)<br>\n\u2022 \u0938\u0902\u0924\u0930\u093e \u2192 \u0906\u092e \u2192 (\u0938\u0902\u0924\u0930\u093e,\u0906\u092e)<br>\n\u092f\u0926\u093f \u0938\u0902\u0924\u0930\u0947 \u0926\u094b \u0905\u0932\u0917 \u092e\u093e\u0928\u0947\u0902:<br>\n\u2022 \u0938\u0902\u0924\u0930\u093e1 \u2192 \u0915\u0947\u0932\u093e \u2192 (\u0938\u0902\u0924\u0930\u093e1,\u0915\u0947\u0932\u093e)<br>\n\u2022 \u0938\u0902\u0924\u0930\u093e1 \u2192 \u0906\u092e \u2192 (\u0938\u0902\u0924\u0930\u093e1,\u0906\u092e)<br>\n\u2022 \u0938\u0902\u0924\u0930\u093e2 \u2192 \u0915\u0947\u0932\u093e \u2192 (\u0938\u0902\u0924\u0930\u093e2,\u0915\u0947\u0932\u093e)<br>\n\u2022 \u0938\u0902\u0924\u0930\u093e2 \u2192 \u0906\u092e \u2192 (\u0938\u0902\u0924\u0930\u093e2,\u0906\u092e)<br>\n<\/div><br>\n\n<b>(ii) \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f:<\/b><br>\n\u0938\u0930\u0932 \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u0947 (\u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930):<br>\nS={ (\u0938\u0947\u092c,\u0915\u0947\u0932\u093e), (\u0938\u0947\u092c,\u0906\u092e), (\u0938\u0902\u0924\u0930\u093e,\u0915\u0947\u0932\u093e), (\u0938\u0902\u0924\u0930\u093e,\u0906\u092e) }<br>\nn(S)=2\u00d72=4<br><br>\n\u092f\u0926\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092b\u0932 \u0905\u0932\u0917 \u092e\u093e\u0928\u0947\u0902 \u0924\u094b:<br>\nS={ (\u0938\u0947\u092c,\u0915\u0947\u0932\u093e), (\u0938\u0947\u092c,\u0906\u092e), (\u0938\u0902\u0924\u0930\u093e1,\u0915\u0947\u0932\u093e), (\u0938\u0902\u0924\u0930\u093e1,\u0906\u092e), (\u0938\u0902\u0924\u0930\u093e2,\u0915\u0947\u0932\u093e), (\u0938\u0902\u0924\u0930\u093e2,\u0906\u092e) }<br>\nn(S)=3\u00d72=6<br><br>\n\n<b>(iii) \u090f\u0915 \u0938\u0947\u092c \u0914\u0930 \u090f\u0915 \u0915\u0947\u0932\u093e \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e:<\/b><br>\n\u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930: n(E)=1 (\u0938\u0947\u092c,\u0915\u0947\u0932\u093e), n(S)=4 \u2192 P=1\/4=0.25<br>\n\u092b\u0932 \u0905\u0932\u0917 \u092e\u093e\u0928\u0915\u0930: P=1\/6\u22480.1667<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 \u0915\u093f\u0924\u093e\u092c \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u0947 P=1\/4=25% (\u092b\u0932 \u0905\u0932\u0917 \u0924\u094b 1\/6)<\/span><br>\n\n<\/div><\/div>\n\n<div id=\"q74t-2\" style=\"display:none;\"><div style=\"background:#1565c0;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd35 \u092d\u093e\u0917 2\/3 - Q2 \u092a\u0947\u0928 \u0935\u093e\u0932\u093e<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<b>Q2. \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f, \u0906\u092a\u0915\u0947 \u092a\u093e\u0938 \u090f\u0915 \u092c\u0915\u094d\u0938\u093e \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 3 \u0932\u093e\u0932 \u092a\u0947\u0928, 4 \u0915\u093e\u0932\u0947 \u092a\u0947\u0928 \u0914\u0930 2 \u0939\u0930\u0947 \u092a\u0947\u0928 \u0939\u0948\u0902\u0964 \u0906\u092a\u0928\u0947 \u092c\u0915\u094d\u0938\u0947 \u092e\u0947\u0902 \u092c\u093f\u0928\u093e \u0926\u0947\u0916\u0947 \u090f\u0915 \u092a\u0947\u0928 \u0928\u093f\u0915\u093e\u0932\u093e \u0914\u0930 \u0935\u093e\u092a\u0938 \u0909\u0938\u0940 \u092e\u0947\u0902 \u0930\u0916 \u0926\u093f\u092f\u093e\u0964 \u0905\u092c \u0906\u092a\u0915\u093e \u092e\u093f\u0924\u094d\u0930 \u092d\u0940 \u0907\u0938\u0940 \u0915\u093e\u0930\u094d\u092f \u0915\u094b \u0926\u094b\u0939\u0930\u093e\u0924\u093e \u0939\u0948\u0964 (i) \u092a\u0947\u0928 \u0915\u0947 \u0930\u0902\u0917\u094b\u0902 \u0915\u0947 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u094d\u092f\u093e \u0939\u0948\u0902? \u0915\u094d\u092f\u093e \u0906\u092a \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0941\u0906 \u090f\u0915 \u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916 \u0916\u0940\u0902\u091a \u0938\u0915\u0924\u0947 \u0939\u0948\u0902? (ii) \u0915\u094d\u092f\u093e \u0906\u092a \u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930 \u0905\u0928\u0941\u092e\u093e\u0928 \u0932\u0917\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0906\u092a \u0914\u0930 \u0906\u092a\u0915\u0947 \u092e\u093f\u0924\u094d\u0930 \u0926\u094d\u0935\u093e\u0930\u093e \u090f\u0915 \u0939\u0940 \u0930\u0902\u0917 \u0915\u0947 \u092a\u0947\u0928 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u0940?<\/b><br><br>\n\n<b>\u0939\u0932 (i):<\/b><br>\n\u092c\u0915\u094d\u0938\u093e: 3 \u0932\u093e\u0932(R), 4 \u0915\u093e\u0932\u093e(B), 2 \u0939\u0930\u093e(G), \u0915\u0941\u0932 9<br>\n\u0906\u092a + \u092e\u093f\u0924\u094d\u0930, \u0935\u093e\u092a\u0938 \u0930\u0916\u0928\u093e \u2192 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930<br><br>\n\u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916:<br>\n<div style=\"background:#fff;border:2px solid #0f5e4b;border-radius:8px;padding:10px;font-family:monospace;\">\n\u0906\u092a \u2192 \u092e\u093f\u0924\u094d\u0930 \u2192 \u092a\u0930\u093f\u0923\u093e\u092e<br>\nR \u2192 R \u2192 (R,R)<br>\nR \u2192 B \u2192 (R,B)<br>\nR \u2192 G \u2192 (R,G)<br>\nB \u2192 R \u2192 (B,R)<br>\nB \u2192 B \u2192 (B,B)<br>\nB \u2192 G \u2192 (B,G)<br>\nG \u2192 R \u2192 (G,R)<br>\nG \u2192 B \u2192 (G,B)<br>\nG \u2192 G \u2192 (G,G)<br>\n\u0915\u0941\u0932 3\u00d73=9 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u0930\u0902\u0917 \u092f\u0941\u0917\u094d\u092e\n<\/div><br>\n\n\u092f\u0926\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u0947\u0928 \u0905\u0932\u0917 \u092e\u093e\u0928\u0947\u0902 \u0924\u094b \u0915\u0941\u0932 \u092a\u0930\u093f\u0923\u093e\u092e 9\u00d79=81<br>\n\u092a\u0930 \u0930\u0902\u0917 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 S \u0930\u0902\u0917={ (R,R),(R,B),(R,G),(B,R),(B,B),(B,G),(G,R),(G,B),(G,G) }, n=9<br><br>\n\n<b>(ii) \u090f\u0915 \u0939\u0940 \u0930\u0902\u0917 \u0915\u0947 \u092a\u0947\u0928 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e:<\/b><br>\n\u0935\u093f\u0927\u093f 1 - \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 (\u0938\u0930\u0932, \u0915\u093f\u0924\u093e\u092c \u091c\u0948\u0938\u0940):<br>\n\u0938\u092e\u093e\u0928 \u0930\u0902\u0917 \u0918\u091f\u0928\u093e E={ (R,R),(B,B),(G,G) }<br>\n\u092f\u0926\u093f \u0938\u092d\u0940 \u0930\u0902\u0917 \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 \u092e\u093e\u0928\u0947\u0902 \u0924\u094b P=3\/9=1\/3\u22480.333<br><br>\n\n\u0935\u093f\u0927\u093f 2 - \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 (\u0936\u0941\u0926\u094d\u0927 \u0917\u0923\u093f\u0924\u0940\u092f):<br>\nP(\u0926\u094b\u0928\u094b\u0902 \u0932\u093e\u0932)=3\/9\u00d73\/9=9\/81<br>\nP(\u0926\u094b\u0928\u094b\u0902 \u0915\u093e\u0932\u093e)=4\/9\u00d74\/9=16\/81<br>\nP(\u0926\u094b\u0928\u094b\u0902 \u0939\u0930\u093e)=2\/9\u00d72\/9=4\/81<br>\nP(\u090f\u0915 \u0939\u0940 \u0930\u0902\u0917)=9\/81+16\/81+4\/81=29\/81\u22480.358=35.8%<br><br>\n\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 \u0938\u0930\u0932 \u0935\u093f\u0927\u093f P=1\/3\u224833.3%, \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 P=29\/81\u224835.8%<\/span><br>\n\n<\/div><\/div>\n\n<div id=\"q74t-3\" style=\"display:none;\"><div style=\"background:#2e7d32;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe2 \u092d\u093e\u0917 3\/3 - \u0938\u0942\u0924\u094d\u0930 FINAL<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:10px;border-radius:10px;text-align:center;font-weight:bold;\">\n\u2705 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.4 Q1 Q2 \u0936\u0941\u0926\u094d\u0927 \u0916\u0924\u094d\u092e<br><br>\nQ1 \u091f\u094b\u0915\u0930\u0940 A 1 \u0938\u0947\u092c 2 \u0938\u0902\u0924\u0930\u0947, B 1 \u0915\u0947\u0932\u093e 1 \u0906\u092e<br>\nS 4 \u092a\u094d\u0930\u0915\u093e\u0930 {(\u0938\u0947\u092c,\u0915\u0947\u0932\u093e),(\u0938\u0947\u092c,\u0906\u092e),(\u0938\u0902\u0924\u0930\u093e,\u0915\u0947\u0932\u093e),(\u0938\u0902\u0924\u0930\u093e,\u0906\u092e)} n4<br>\n\u092b\u0932 \u0905\u0932\u0917 6 \u092a\u0930\u093f\u0923\u093e\u092e<br>\nP(\u0938\u0947\u092c,\u0915\u0947\u0932\u093e)=1\/4 (\u0905\u0932\u0917 \u0924\u094b 1\/6)<br><br>\nQ2 \u092c\u0915\u094d\u0938\u093e 3 \u0932\u093e\u0932 4 \u0915\u093e\u0932\u093e 2 \u0939\u0930\u093e \u0915\u0941\u0932 9, \u0935\u093e\u092a\u0938 \u0930\u0916\u0928\u093e<br>\nS \u0930\u0902\u0917 9 \u092f\u0941\u0917\u094d\u092e, \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 81<br>\n\u090f\u0915 \u0939\u0940 \u0930\u0902\u0917 P \u0938\u0930\u0932 1\/3, \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 29\/81\u224835.8%<br>\n\u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916 = \u092c\u0939\u0941-\u091a\u0930\u0923\u0940\u092f \u0917\u0941\u0923\u093e \u0928\u093f\u092f\u092e<br>\nP(E)=n(E)\/n(S)<br>\n\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0918\u091f\u0928\u093e \u0935\u093e\u092a\u0938 \u0930\u0916\u0928\u0947 \u0938\u0947\n<\/div>\n\n<\/div><\/div>\n<\/div>\n\n<div style=\"background:#0a5c4b;padding:12px;display:flex;justify-content:space-between;align-items:center;\">\n<button type=\"button\" id=\"q74tp\" style=\"background:#ffcc00;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">&larr; \u092a\u0940\u091b\u0947<\/button>\n<span id=\"q74ti\" style=\"background:#fff;color:#0a5c4b;padding:8px 20px;border-radius:20px;font-weight:bold;\">1 \/ 3<\/span>\n<button type=\"button\" id=\"q74tn\" style=\"background:#00e676;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">\u0906\u0917\u0947 &rarr;<\/button>\n<\/div>\n<\/div>\n\n<script>\n(function(){\nvar c=1,t=3;\nfunction s(n){\nfor(var i=1;i<=t;i++){\nvar el=document.getElementById('q74t-'+i);\nif(el)el.style.display=(i===n?'block':'none');\n}\ndocument.getElementById('q74ti').textContent=n+' \/ '+t;\nc=n;\n}\ndocument.getElementById('q74tn').onclick=function(){var n=c+1;if(n>t)n=1;s(n);};\ndocument.getElementById('q74tp').onclick=function(){var n=c-1;if(n<1)n=t;s(n);};\n})();\n<\/script><\/div><\/div><\/div><\/div><div id=\"pg-977-9\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-977-9-0\"  class=\"panel-grid-cell\" ><div id=\"panel-977-9-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"9\" ><div class=\"textwidget custom-html-widget\">\n<div id=\"AGNIVEER-7-MCQ\" style=\"max-width:860px;margin:12px auto;border:4px solid #0f5e4b;border-radius:14px;background:#e6f4f1;font-family:'Noto Sans Devanagari',Arial,sans-serif;overflow:hidden;\">\n<div style=\"background:#0a5c4b;padding:10px;text-align:center;\"><span style=\"background:#fff;color:#0a3d33;padding:7px 20px;border-radius:20px;font-weight:bold;font-size:13px;\">\u0905\u0927\u094d\u092f\u093e\u092f 7 - \u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 20 MCQ - \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0906\u0927\u093e \u092a\u093e\u0920 \u0938\u0947<\/span><\/div>\n\n<div style=\"padding:10px 12px;\">\n<div id=\"ag7-1\" style=\"display:block;\"><div style=\"background:#d32f2f;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd34 \u092d\u093e\u0917 1\/4 - MCQ 1-5<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<b>Q1. \u090f\u0915 \u0928\u093f\u0937\u094d\u092a\u0915\u094d\u0937 \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u0928\u0947 \u092a\u0930 \u091a\u093f\u0924 \u0906\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948?<\/b><br>\nA) 0 B) 1 C) 1\/2 D) 1\/4<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 C) 1\/2 - S={H,T}, n=2, P=1\/2<\/span><br><br>\n\n<b>Q2. \u090f\u0915 \u0937\u091f\u094d\u092b\u0932\u0915\u0940\u092f \u092a\u093e\u0938\u0947 \u092a\u0930 7 \u0906\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948?<\/b><br>\nA) 1\/6 B) 0 C) 1 D) 7\/6<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 B) 0 - \u0905\u0938\u0902\u092d\u0935 \u0918\u091f\u0928\u093e P=0<\/span><br><br>\n\n<b>Q3. \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f S={\u0935\u0930\u094d\u0937\u093e \u0939\u094b\u0917\u0940, \u0935\u0930\u094d\u0937\u093e \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u0940} \u0915\u093e \u0906\u0915\u093e\u0930 n(S) \u0915\u093f\u0924\u0928\u093e?<\/b><br>\nA) 1 B) 2 C) 3 D) 4<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 B) 2<\/span><br><br>\n\n<b>Q4. \u0926\u094b \u0938\u093f\u0915\u094d\u0915\u0947 \u090f\u0915 \u0938\u093e\u0925 \u0909\u091b\u093e\u0932\u0947, \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u092e\u0947\u0902 \u0915\u0941\u0932 \u092a\u0930\u093f\u0923\u093e\u092e?<\/b><br>\nA) 2 B) 4 C) 8 D) 6<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 B) 4 - {HH,HT,TH,TT}<\/span><br><br>\n\n<b>Q5. \u0924\u093e\u0936 \u0915\u0940 52 \u092a\u0924\u094d\u0924\u094b\u0902 \u0915\u0940 \u0917\u0921\u094d\u0921\u0940 \u0938\u0947 \u090f\u0915 \u092a\u0924\u094d\u0924\u093e, \u0907\u0915\u094d\u0915\u093e \u0906\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e?<\/b><br>\nA) 1\/52 B) 4\/52=1\/13 C) 13\/52 D) 26\/52<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 B) 1\/13<\/span><br>\n\n<\/div><\/div>\n\n<div id=\"ag7-2\" style=\"display:none;\"><div style=\"background:#1565c0;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd35 \u092d\u093e\u0917 2\/4 - MCQ 6-12<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<b>Q6. \u0915\u093f\u0938\u0940 \u0918\u091f\u0928\u093e \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 0 \u0938\u0947 1 \u0915\u0947 \u092c\u0940\u091a, P(E)+P(E \u0928\u0939\u0940\u0902)=?<\/b><br>\nA) 0 B) 1 C) 1\/2 D) 2<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 B) 1<\/span><br><br>\n\n<b>Q7. \u092a\u093e\u0938\u093e 50 \u092c\u093e\u0930 \u092b\u0947\u0902\u0915\u093e 8 \u092c\u093e\u0930 4 \u0906\u092f\u093e, 4 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e?<\/b><br>\nA) 1\/6 B) 8\/50=0.16 C) 50\/8 D) 1<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 B) 8\/50=0.16<\/span><br><br>\n\n<b>Q8. \u2018PROBABILITY\u2019 \u0936\u092c\u094d\u0926 \u0938\u0947 B \u0906\u0928\u0947 \u0915\u0940 \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e?<\/b><br>\nA) 1\/11 B) 2\/11 C) 11\/2 D) 1<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 B) 2\/11\u22480.182 - \u0926\u094b B, 11 \u0905\u0915\u094d\u0937\u0930<\/span><br><br>\n\n<b>Q9. \u0925\u0948\u0932\u0947 \u092e\u0947\u0902 10 \u0932\u093e\u0932 8 \u0939\u0930\u0940 7 \u092a\u0940\u0932\u0940 5 \u0928\u0940\u0932\u0940 \u0915\u0941\u0932 30, \u0939\u0930\u0940 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e?<\/b><br>\nA) 8\/30=4\/15 B) 10\/30 C) 7\/30 D) 5\/30<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 A) 4\/15<\/span><br><br>\n\n<b>Q10. 600 \u092e\u093f\u0920\u093e\u0907\u092f\u094b\u0902 \u092e\u0947\u0902 \u092a\u0940\u0932\u0940 7\/30, \u0905\u0928\u0941\u092e\u093e\u0928\u093f\u0924 \u092a\u0940\u0932\u0940?<\/b><br>\nA) 140 B) 200 C) 70 D) 600<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 A) 140 =7\/30\u00d7600<\/span><br><br>\n\n<b>Q11. \u092a\u093e\u0938\u093e+\u0938\u093f\u0915\u094d\u0915\u093e \u090f\u0915 \u0938\u093e\u0925, \u0915\u0941\u0932 \u092a\u0930\u093f\u0923\u093e\u092e n(S)=?<\/b><br>\nA) 6 B) 2 C) 12 D) 8<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 C) 12 =6\u00d72<\/span><br><br>\n\n<b>Q12. \u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916 \u0938\u093f\u0915\u094d\u0915\u093e 2 \u092c\u093e\u0930, HH \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e?<\/b><br>\nA) 1\/4 B) 1\/2 C) 3\/4 D) 1<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 A) 1\/4<\/span><br>\n\n<\/div><\/div>\n\n<div id=\"ag7-3\" style=\"display:none;\"><div style=\"background:#2e7d32;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe2 \u092d\u093e\u0917 3\/4 - MCQ 13-20<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:1.9;height:560px;overflow-y:auto;\">\n\n<b>Q13. \u0938\u093f\u0915\u094d\u0915\u093e 6 \u092c\u093e\u0930 \u091a\u093f\u0924 \u0906\u092f\u093e, \u0905\u0917\u0932\u0940 \u092c\u093e\u0930 \u092a\u091f \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e?<\/b><br>\nA) \u0905\u0927\u093f\u0915 B) 1\/2 \u0939\u0940 C) 0 D) 1<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 B) 1\/2 - \u0926\u094d\u092f\u0942\u0924\u0915\u093e\u0930 \u092d\u094d\u0930\u092e \u0928\u0939\u0940\u0902, \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930, \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u0940 \u0915\u094b\u0908 \u0938\u094d\u092e\u0943\u0924\u093f \u0928\u0939\u0940\u0902<\/span><br><br>\n\n<b>Q14. \u090f\u0915 \u092a\u093e\u0938\u0947 \u092a\u0930 \u0938\u092e \u0938\u0902\u0916\u094d\u092f\u093e P=?<\/b><br>\nA) 1\/6 B) 1\/2 C) 1\/3 D) 2\/3<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 B) 1\/2 - {2,4,6}=3\/6<\/span><br><br>\n\n<b>Q15. \u0926\u094b \u0938\u093f\u0915\u094d\u0915\u094b\u0902 \u092e\u0947\u0902 \u0915\u092e-\u0938\u0947-\u0915\u092e \u090f\u0915 \u091a\u093f\u0924 P=?<\/b><br>\nA) 1\/4 B) 2\/4 C) 3\/4 D) 1<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 C) 3\/4 - {HH,HT,TH}<\/span><br><br>\n\n<b>Q16. \u092c\u0915\u094d\u0938\u093e 3 \u0932\u093e\u0932 4 \u0915\u093e\u0932\u093e 2 \u0939\u0930\u093e \u0915\u0941\u0932 9, \u0935\u093e\u092a\u0938 \u0930\u0916\u0915\u0930 \u0926\u094b\u0928\u094b\u0902 \u092c\u093e\u0930 \u090f\u0915 \u0939\u0940 \u0930\u0902\u0917 P \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915?<\/b><br>\nA) 1\/3 B) 29\/81\u22480.358 C) 1\/2 D) 1<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 B) 29\/81 - 9\/81+16\/81+4\/81<\/span><br><br>\n\n<b>Q17. \u092c\u0943\u0939\u0924\u094d \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0928\u093f\u092f\u092e \u0915\u094d\u092f\u093e \u0915\u0939\u0924\u093e \u0939\u0948?<\/b><br>\nA) \u092a\u094d\u0930\u092f\u094b\u0917 \u092c\u0922\u093c\u0928\u0947 \u092a\u0930 P_exp \u0918\u091f\u0924\u0940 B) \u092a\u094d\u0930\u092f\u094b\u0917 \u092c\u0922\u093c\u0928\u0947 \u092a\u0930 P_exp\u2192P_theo C) P \u0939\u092e\u0947\u0936\u093e 0 D) P \u0939\u092e\u0947\u0936\u093e 1<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 B) \u092a\u094d\u0930\u092f\u094b\u0917 \u092c\u0922\u093c\u0928\u0947 \u092a\u0930 \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 \u2192 \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915<\/span><br><br>\n\n<b>Q18. \u091f\u094b\u0915\u0930\u0940 A 1 \u0938\u0947\u092c 2 \u0938\u0902\u0924\u0930\u0947, B \u0915\u0947\u0932\u093e \u0906\u092e, (\u0938\u0947\u092c,\u0915\u0947\u0932\u093e) P \u092a\u094d\u0930\u0915\u093e\u0930 \u0906\u0927\u093e\u0930?<\/b><br>\nA) 1\/4 B) 1\/6 C) 1\/2 D) 1<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 A) 1\/4 - \u092b\u0932 \u0905\u0932\u0917 \u0924\u094b 1\/6<\/span><br><br>\n\n<b>Q19. \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0918\u091f\u0928\u093e \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e?<\/b><br>\nA) 0 B) 0.5 C) 1 D) 0.25<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 C) 1 - \u0938\u094b\u092e\u0935\u093e\u0930 \u0930\u0935\u093f\u0935\u093e\u0930 \u092c\u093e\u0926, \u0938\u0942\u0930\u094d\u092f \u092a\u0942\u0930\u094d\u0935 \u0938\u0947<\/span><br><br>\n\n<b>Q20. \u092a\u093e\u0938\u093e 12 \u092c\u093e\u0930 3 \u0924\u0940\u0928 \u092c\u093e\u0930, \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 P(3)=?<\/b><br>\nA) 1\/6 B) 3\/12=1\/4 C) 1\/2 D) 0<br>\n<span style=\"background:#e8f5e9;padding:3px 10px;border-radius:6px;font-weight:bold;\">\u0909\u0924\u094d\u0924\u0930 B) 1\/4, \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 1\/6<\/span><br>\n\n<\/div><\/div>\n\n<div id=\"ag7-4\" style=\"display:none;\"><div style=\"background:#6a1b9a;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe3 \u092d\u093e\u0917 4\/4 - \u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 \u091f\u094d\u0930\u093f\u0915<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:14px;line-height:2;height:560px;overflow-y:auto;\">\n\n<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:10px;border-radius:10px;text-align:center;font-weight:bold;\">\n\u2705 \u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 20 MCQ \u0938\u093e\u0930 - \u0906\u0927\u093e \u092a\u093e\u0920 \u0938\u0947 FINAL<br><br>\n1. \u0938\u093f\u0915\u094d\u0915\u093e P=1\/2<br>\n2. \u092a\u093e\u0938\u093e 7 \u0905\u0938\u0902\u092d\u0935 P0<br>\n3. n(S) \u0935\u0930\u094d\u0937\u093e 2<br>\n4. \u0926\u094b \u0938\u093f\u0915\u094d\u0915\u0947 4<br>\n5. \u0924\u093e\u0936 \u0907\u0915\u094d\u0915\u093e 1\/13<br>\n6. P+P'=1<br>\n7. \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 8\/50<br>\n8. PROBABILITY B 2\/11<br>\n9. \u0939\u0930\u0940 4\/15<br>\n10. \u092a\u0940\u0932\u0940 140<br>\n11. \u092a\u093e\u0938\u093e+\u0938\u093f\u0915\u094d\u0915\u093e 12<br>\n12. HH 1\/4<br>\n13. \u0926\u094d\u092f\u0942\u0924\u0915\u093e\u0930 \u092d\u094d\u0930\u092e \u0928\u0939\u0940\u0902 P1\/2 \u0939\u0940<br>\n14. \u0938\u092e 1\/2<br>\n15. \u0915\u092e-\u0938\u0947-\u0915\u092e \u090f\u0915 H 3\/4<br>\n16. \u090f\u0915 \u0939\u0940 \u0930\u0902\u0917 29\/81<br>\n17. \u092c\u0943\u0939\u0924\u094d \u0928\u093f\u092f\u092e P_exp\u2192P_theo<br>\n18. (\u0938\u0947\u092c,\u0915\u0947\u0932\u093e) 1\/4<br>\n19. \u0928\u093f\u0936\u094d\u091a\u093f\u0924 P1<br>\n20. \u092a\u094d\u0930\u093e\u092f\u094b\u0917\u093f\u0915 1\/4 \u0938\u0948\u0926\u094d\u0927\u093e\u0902\u0924\u093f\u0915 1\/6\n<\/div><br>\n\n<b>\u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 \u091f\u094d\u0930\u093f\u0915:<\/b><br>\n- P=n(E)\/n(S) \u0939\u092e\u0947\u0936\u093e<br>\n- \u0938\u093f\u0915\u094d\u0915\u093e 1\/2, \u092a\u093e\u0938\u093e 1\/6, \u0926\u094b \u0938\u093f\u0915\u094d\u0915\u0947 4, \u0924\u0940\u0928 \u0938\u093f\u0915\u094d\u0915\u0947 8, \u0926\u094b \u092a\u093e\u0938\u0947 36, \u0924\u093e\u0936 52<br>\n- \u0905\u0938\u0902\u092d\u0935 0 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 1<br>\n- \u0935\u093e\u092a\u0938 \u0930\u0916\u0928\u093e = \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0917\u0941\u0923\u093e<br>\n- \u0935\u0943\u0915\u094d\u0937 \u0906\u0930\u0947\u0916 = \u0917\u0941\u0923\u093e \u0928\u093f\u092f\u092e<br>\n- \u0926\u094d\u092f\u0942\u0924\u0915\u093e\u0930 \u092d\u094d\u0930\u092e \u0938\u0947 \u092c\u091a\u0928\u093e - \u0939\u0930 \u0909\u091b\u093e\u0932 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930<br>\n\n<\/div><\/div>\n<\/div>\n\n<div style=\"background:#0a5c4b;padding:12px;display:flex;justify-content:space-between;align-items:center;\">\n<button type=\"button\" id=\"ag7p\" style=\"background:#ffcc00;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">&larr; \u092a\u0940\u091b\u0947<\/button>\n<span id=\"ag7i\" style=\"background:#fff;color:#0a5c4b;padding:8px 20px;border-radius:20px;font-weight:bold;\">1 \/ 4<\/span>\n<button type=\"button\" id=\"ag7n\" style=\"background:#00e676;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;cursor:pointer;min-width:100px;\">\u0906\u0917\u0947 &rarr;<\/button>\n<\/div>\n<\/div>\n\n<script>\n(function(){\nvar c=1,t=4;\nfunction s(n){\nfor(var i=1;i<=t;i++){\nvar el=document.getElementById('ag7-'+i);\nif(el)el.style.display=(i===n?'block':'none');\n}\ndocument.getElementById('ag7i').textContent=n+' \/ '+t;\nc=n;\n}\ndocument.getElementById('ag7n').onclick=function(){var n=c+1;if(n>t)n=1;s(n);};\ndocument.getElementById('ag7p').onclick=function(){var n=c-1;if(n<1)n=t;s(n);};\n})();\n<\/script><\/div><\/div><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>\u0905\u0927\u094d\u092f\u093e\u092f 7 &#8211; \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u092a\u0930\u093f\u091a\u092f &#8211; \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u092a\u0930\u093f\u091a\u092f \u0936\u0941\u0926\u094d\u0927 \ud83d\udd34 \u092d\u093e\u0917 1\/5 &#8211; \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948? 7 | \u0938\u0902\u092d\u093e\u0935\u0928\u093e\u0913\u0902 \u0915\u093e \u0917\u0923\u093f\u0924 \u2014 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u092a\u0930\u093f\u091a\u092f &#8211; \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u092a\u0930\u093f\u091a\u092f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948? \u0939\u092e\u093e\u0930\u0947 \u0926\u0948\u0928\u093f\u0915 \u091c\u0940\u0935\u0928 \u092e\u0947\u0902 \u0939\u092e \u0905\u0915\u094d\u0938\u0930 \u0910\u0938\u0947 \u0936\u092c\u094d\u0926\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u2014 \u0936\u093e\u092f\u0926, \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u0948, \u0938\u0902\u092d\u0935\u0924\u0903, \u0938\u0902\u0926\u0947\u0939 \u0939\u0948, \u0906\u0926\u093f\u0964 \u0907\u0928 \u0938\u092d\u0940 \u0936\u092c\u094d\u0926\u094b\u0902 \u092e\u0947\u0902 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"class_list":["post-977","post","type-post","status-publish","format-standard","hentry","category-mathematics"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Mathematics &#187; *7* | \u0938\u0902\u092d\u093e\u0935\u0928\u093e\u0913\u0902 \u0915\u093e \u0917\u0923\u093f\u0924 \u2014 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u092a\u0930\u093f\u091a\u092f | Mathematics of Chances \u2014 Introduction to Probability &#187; Class-9th - Agniveer Foundation Hub | Pargai Defence &amp; Academic.<\/title>\n<meta name=\"description\" content=\"Class 9 Online Classes in Bageshwar with NCERT Textbook based study material, chapter-wise learning, MCQs, assignments and Agniveer Foundation. 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