{"id":69790,"date":"2019-01-07T11:59:31","date_gmt":"2019-01-07T06:29:31","guid":{"rendered":"https:\/\/hindi.theindianwire.com\/?p=69790"},"modified":"2019-01-07T11:59:31","modified_gmt":"2019-01-07T06:29:31","slug":"%e0%a4%b8%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%a4%e0%a4%bf%e0%a4%ac%e0%a4%82%e0%a4%a7-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be","status":"publish","type":"post","link":"https:\/\/hindi.theindianwire.com\/%e0%a4%b8%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%a4%e0%a4%bf%e0%a4%ac%e0%a4%82%e0%a4%a7-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%be%e0%a4%af%e0%a4%bf%e0%a4%95%e0%a4%a4%e0%a4%be-69790\/","title":{"rendered":"\u0938\u092a\u094d\u0930\u0924\u093f\u092c\u0902\u0927 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e : \u092a\u0930\u093f\u092d\u093e\u0937\u093e, \u092a\u094d\u0930\u092e\u0947\u092f \u090f\u0935\u0902 \u0909\u0926\u093e\u0939\u0930\u0923"},"content":{"rendered":"\n
\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092e\u0947\u0902 \u0907\u0938\u0938\u0947 \u092a\u0939\u0932\u0947 \u0939\u092e\u0928\u0947\u0902\u00a0\u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e, \u092e\u093e\u0927\u094d\u092f \u090f\u0935\u0902 \u092c\u0939\u0941\u0932\u0915 (mean, median and mode)<\/a> \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u091c\u093e\u0928\u093e\u0964<\/p>\n \u0938\u092a\u094d\u0930\u0924\u093f\u092c\u0902\u0927 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0910\u0938\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u094b\u0924\u0940 \u0939\u0948 \u091c\u093f\u0938\u092e\u0947 \u0939\u092e \u090f\u0915 \u0918\u091f\u0928\u093e \u0915\u0947 \u0939\u094b\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926 \u0926\u0942\u0938\u0930\u0940 \u0918\u091f\u0928\u093e \u0915\u0947 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0928\u093f\u0915\u093e\u0932\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n \u0939\u092e \u092e\u093e\u0928 \u0932\u0947\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0939\u092e\u0947\u0902 \u090f\u0915 \u0938\u095c\u0915 \u0926\u0941\u0930\u094d\u0918\u091f\u0928\u093e \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0928\u093f\u0915\u093e\u0932\u0928\u0940 \u0939\u0948\u0964 \u0939\u092e\u0947\u0902 \u091a\u093e\u0932\u0915\u094b\u0902 \u0915\u0940 \u0917\u093e\u0921\u0940 \u091a\u0932\u093e\u0928\u0947 \u0915\u0940 \u0915\u0941\u0936\u0932\u0924\u093e \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u092a\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0938\u0947 \u0939\u092e\u0947\u0902 \u0907\u0928 \u0926\u094b \u0918\u091f\u0928\u093e\u0913\u0902 \u092e\u0947\u0902 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926 \u092e\u093f\u0932\u0947\u0917\u0940\u0964 \u0939\u092e \u091c\u093e\u0928\u0924\u0947 \u0939\u0948\u0902 \u0915\u0940 \u0905\u0917\u0930 \u090f\u0915 \u091a\u093e\u0932\u0915 \u0917\u093e\u0921\u0940 \u091a\u0932\u093e\u0928\u0947 \u092e\u0947\u0902 \u092a\u094d\u0930\u0935\u0940\u0923 \u0939\u0948 \u0924\u094b \u0909\u0938\u0915\u0940 \u0938\u095c\u0915 \u0926\u0941\u0930\u094d\u0918\u091f\u0928\u093e \u0939\u094b\u0928\u0947 \u0915\u0940 \u0915\u092e \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0939\u094b\u0917\u0940\u0964<\/p>\n \u090f\u0915 \u091a\u093e\u0932\u093e\u0915 \u0915\u0940 \u0917\u093e\u0921\u0940 \u091a\u0932\u093e\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u0935\u0940\u0923\u0924\u093e \u0909\u0938\u0915\u0940 \u0938\u095c\u0915 \u0926\u0941\u0930\u094d\u0918\u091f\u0928\u093e \u0939\u094b\u0928\u0947 \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u092c\u0928\u094d\u0927 \u0932\u0917\u093e\u0924\u0940 \u0939\u0948\u0964 \u092f\u0939 \u0938\u092a\u094d\u0930\u0924\u093f\u092c\u0902\u0927 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u090f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 \u0939\u0948\u0964 \u092f\u0939 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0909\u0928 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0947 \u0918\u091f\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u092c\u0924\u093e\u0924\u0940 \u0939\u0948 \u091c\u093f\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u0941\u091b \u0918\u091f\u0928\u093e\u090f\u0902 \u092a\u0939\u0932\u0947 \u0939\u0940 \u0918\u093e\u091f \u091a\u0941\u0915\u0940 \u0939\u0948\u0902\u0964<\/p>\n \u0938\u092a\u094d\u0930\u0924\u093f\u092c\u0902\u0927 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094b \u0939\u092e p(A|B)<\/strong> \u0938\u0947 \u092a\u094d\u0930\u0915\u091f \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n \u0939\u092e \u0907\u0938\u0947 \u0938\u093e\u0927\u093e\u0930\u0923 \u092d\u093e\u0937\u093e \u092e\u0947\u0902 \u0910\u0938\u0947 \u0938\u092e\u091d \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 :<\/p>\n \u0939\u092e\u093e\u0930\u0947 \u092a\u093e\u0938 \u0924\u0940\u0928 \u092e\u091f\u0915\u0947 \u0939\u0948\u0902 \u090f\u0935\u0902 \u0939\u0930 \u092e\u091f\u0915\u0947 \u092e\u0947\u0902 \u090f\u0915 \u0932\u093e\u0932 \u090f\u0935\u0902 \u090f\u0915 \u092a\u0940\u0932\u0940 \u0917\u0947\u0902\u0926 \u0939\u0948\u0964 \u0905\u092c \u0939\u092e\u0947\u0902 \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948 \u0915\u093f \u092a\u0939\u0932\u0947 \u092e\u091f\u0915\u0947 \u092e\u0947\u0902 \u0938\u0947 \u0932\u093e\u0932 \u0917\u0947\u0902\u0926 \u0928\u093f\u0915\u0932\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u092f\u0947\u0964 \u092f\u0939 \u090f\u0915 \u0938\u092a\u094d\u0930\u0924\u093f\u092c\u0902\u0927 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948\u0964 \u092e\u0924\u0932\u092c \u0939\u092e\u0947\u0902 \u092a\u0939\u0932\u0947 \u0938\u0947 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0939\u0948 \u0915\u0940 \u090f\u0915 \u0918\u091f\u0928\u093e \u0939\u094b \u091a\u0941\u0915\u0940 \u0939\u0948 \u090f\u0935\u0902 \u0926\u0942\u0938\u0930\u0940 \u0918\u091f\u0928\u093e \u092a\u0939\u0932\u0940 \u0918\u091f\u0928\u093e \u092a\u0930 \u0939\u0940 \u0906\u0927\u093e\u0930\u093f\u0924 \u0939\u0948\u0964<\/p>\n \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u092e\u0947\u0902\u00a0\u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f<\/b>\u00a0\u0915\u093f\u0938\u0940 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0915\u0947 \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, \u091c\u093f\u0938\u0947 \u0905\u092e\u0942\u092e\u0928 \u0938\u0902\u0915\u0947\u0924 \u0905\u0925\u0935\u093e \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u094d\u0930\u0915\u091f \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0905\u0917\u0930 \u0939\u092e \u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u094b \u0909\u091b\u093e\u0932\u0947\u0902 \u0924\u094b \u0909\u0938\u0915\u0940 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f head \u092f\u093e tails \u0939\u094b\u0917\u0940\u0964<\/p>\n \u092f\u0947 \u092d\u0940 \u092a\u095d\u0947\u0902:<\/strong><\/p>\n \u092a\u094d\u0930\u092e\u0947\u092f 1:<\/strong><\/p>\n \u0905\u0917\u0930 A \u090f\u0935\u0902 B \u0915\u093f\u0938\u0940 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u092a\u0930\u093f\u0915\u094d\u0937\u0923 \u0915\u0940 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f S \u0915\u0940 \u0918\u091f\u0928\u093e\u090f\u0902 \u0939\u0948\u0902 \u0924\u094b p(S|B) = p(B|B) = 1 \u0939\u094b\u0917\u093e\u0964<\/p>\n \u092a\u094d\u0930\u092e\u093e\u0923 :\u00a0<\/strong>\u00a0P(S | B) = P(S \u2229 B) \u2044 P(B) = P(B) \u2044 P(B) = 1.<\/p>\n \u092a\u094d\u0930\u092e\u0947\u092f 2:<\/strong><\/p>\n \u092f\u0926\u093f A \u090f\u0935\u0902 B \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f\u00a0S \u0915\u0940 \u0918\u091f\u0928\u093e\u090f\u0902 \u0939\u0948\u0902 \u090f\u0935\u0902\u00a0 E S \u0915\u0940 \u0910\u0938\u0940 \u0918\u091f\u0928\u093e \u0939\u0948 \u0924\u093e\u0915\u093f P(E) \u2260 0, \u092b\u093f\u0930<\/p>\n P((A \u222a B)| E) = P(A | E) + P(B | E) \u2013 P((A \u2229 B) | E).<\/p>\n \u092a\u094d\u0930\u092e\u093e\u0923:<\/strong> \u091c\u0948\u0938\u093e \u0939\u092e \u091c\u093e\u0928\u0924\u0947 \u0939\u0948\u0902\u00a0\u00a0P(A \u222a B) = P(A) + P(B) \u2013 P(A \u2229 B).<\/p>\n P((A \u222a B) |E) = P((A \u222a B) \u2229 E)\u00a0\u2044 P(E) = P((A \u2229 E) \u222a (B \u2229 E)) \u2044 P(E).<\/p>\n \u0909\u0926\u093e\u0939\u0930\u0923 :<\/strong><\/p>\n \u0906\u0907\u092f\u0947 \u0905\u092c \u0939\u092e \u0907\u0938 \u0938\u0942\u0924\u094d\u0930 \u0938\u0947 \u0915\u0941\u091b \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u0915\u094b \u0939\u0932 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0939\u092e \u0909\u0928 \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u092e\u0947\u0902 \u092f\u0939\u0940 \u0938\u0942\u0924\u094d\u0930 \u0932\u0917\u093e\u0915\u0930 \u0939\u0932 \u0915\u0930\u0947\u0902\u0917\u0947\u0964<\/p>\n \u0909\u0926\u093e\u0939\u0930\u0923 1:\u00a0<\/strong>\u090f\u0915 \u092a\u093e\u0938\u093e \u092b\u0947\u0902\u0915\u093e \u0917\u092f\u093e\u0964 \u0905\u0917\u0930 2 \u0915\u093e \u0915\u094b\u0908 \u0917\u0941\u0923\u091c \u0906\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e A \u0939\u0948, \u090f\u0915 \u0935\u093f\u0937\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0902\u0916\u094d\u092f\u093e \u0906\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e B \u0939\u0948 \u090f\u0935\u0902 \u090f\u0915 \u0938\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0906\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e C \u0939\u0948\u0964<\/p>\n \u0905\u0917\u0930 A \u0918\u091f\u0928\u093e B \u0938\u0947 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u0948 \u0924\u094b :<\/p>\n P(A |B) = P(A) or, P(A \u2229 B) \u2044 P(B) = P(A) or, P(A \u2229 B) = P(A). P(B) \u2026 (I)<\/p>\n P(B |A) = P(A \u2229 B)\u00a0 \u2044 P(A) = P(A).P(B) \u2044 P(A) = P(B)<\/p>\n \u0905\u0924\u0903 \u0918\u091f\u0928\u093e B \u092d\u0940 \u0918\u091f\u0928\u093e A \u0938\u0947 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u0948\u0964<\/p>\n \u0907\u0938 \u0932\u0947\u0916 \u0938\u0947 \u0938\u092e\u094d\u092c\u0902\u0927\u093f\u0924 \u092f\u0926\u093f \u0906\u092a\u0915\u0947 \u092a\u093e\u0938 \u0915\u094b\u0908 \u092d\u0940 \u0938\u0935\u093e\u0932 \u092f\u093e \u0938\u0941\u091d\u093e\u0935 \u0939\u0948, \u0924\u094b \u0906\u092a \u0909\u0938\u0947 \u0928\u0940\u091a\u0947 \u0915\u092e\u0947\u0902\u091f \u092e\u0947\u0902 \u0932\u093f\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/em><\/p>\n \u0917\u0923\u093f\u0924 \u0915\u0947 \u0905\u0928\u094d\u092f \u0932\u0947\u0916:<\/strong><\/p>\n \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092e\u0947\u0902 \u0907\u0938\u0938\u0947 \u092a\u0939\u0932\u0947 \u0939\u092e\u0928\u0947\u0902\u00a0\u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e, \u092e\u093e\u0927\u094d\u092f \u090f\u0935\u0902 \u092c\u0939\u0941\u0932\u0915 (mean, median and mode) \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u091c\u093e\u0928\u093e\u0964 \u0938\u092a\u094d\u0930\u0924\u093f\u092c\u0902\u0927 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u0940 \u0939\u0948? (conditional probability in hindi) \u0938\u092a\u094d\u0930\u0924\u093f\u092c\u0902\u0927 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0910\u0938\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u094b\u0924\u0940 \u0939\u0948 \u091c\u093f\u0938\u092e\u0947 \u0939\u092e \u090f\u0915 \u0918\u091f\u0928\u093e \u0915\u0947 \u0939\u094b\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926 \u0926\u0942\u0938\u0930\u0940 \u0918\u091f\u0928\u093e \u0915\u0947 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0928\u093f\u0915\u093e\u0932\u0924\u0947 \u0939\u0948\u0902\u0964 \u0939\u092e \u092e\u093e\u0928 \u0932\u0947\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0939\u092e\u0947\u0902 \u090f\u0915 \u0938\u095c\u0915 […]<\/p>\n","protected":false},"author":34,"featured_media":79565,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6348],"tags":[],"yst_prominent_words":[],"class_list":["post-69790","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics"],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/posts\/69790","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/users\/34"}],"replies":[{"embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/comments?post=69790"}],"version-history":[{"count":0,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/posts\/69790\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/media\/79565"}],"wp:attachment":[{"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/media?parent=69790"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/categories?post=69790"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/tags?post=69790"},{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/yst_prominent_words?post=69790"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\u0938\u092a\u094d\u0930\u0924\u093f\u092c\u0902\u0927 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u0940 \u0939\u0948? (conditional probability in hindi)<\/h2>\n
\u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0938\u092e\u0937\u094d\u091f\u093f \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u0940 \u0939\u0948? (sample space in hindi)<\/h2>\n
\n
\u0938\u092a\u094d\u0930\u0924\u093f\u092c\u0902\u0927 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093e \u0938\u0942\u0924\u094d\u0930 (conditional probability formula)<\/h2>\n
<\/p>\n
\u0938\u092a\u094d\u0930\u0924\u093f\u092c\u0902\u0927 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0940 \u092a\u094d\u0930\u092e\u0947\u092f (conditional probability theorem)<\/h2>\n
\n