{"id":25488,"date":"2021-03-24T00:00:29","date_gmt":"2021-03-24T00:00:29","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=25488"},"modified":"2024-06-05T04:23:36","modified_gmt":"2024-06-05T04:23:36","slug":"%e0%a4%b8%e0%a4%82%e0%a4%ad%e0%a4%be%e0%a4%b5%e0%a4%a8%e0%a4%be-%e0%a4%95%e0%a4%be-%e0%a4%ae%e0%a4%be%e0%a4%aa-%e0%a4%94%e0%a4%b0-%e0%a4%89%e0%a4%b8%e0%a4%95%e0%a5%80-%e0%a4%ae%e0%a5%81%e0%a4%96","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/hi\/%e0%a4%b8%e0%a4%82%e0%a4%ad%e0%a4%be%e0%a4%b5%e0%a4%a8%e0%a4%be-%e0%a4%95%e0%a4%be-%e0%a4%ae%e0%a4%be%e0%a4%aa-%e0%a4%94%e0%a4%b0-%e0%a4%89%e0%a4%b8%e0%a4%95%e0%a5%80-%e0%a4%ae%e0%a5%81%e0%a4%96\/","title":{"rendered":"\u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u093e \u092e\u093e\u092a \u0914\u0930 \u0909\u0938\u0915\u0940 \u092e\u0941\u0916\u094d\u092f \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0901"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<p><center><\/p>\n<h1>\u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u092e\u093e\u092a \u0915\u0940 \u092a\u094d\u0930\u092e\u0941\u0916 \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0902<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u0938\u093e\u0930\u093e\u0902\u0936<\/strong><br \/><em>\u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u0940 \u092e\u0942\u0932\u092d\u0942\u0924 \u092a\u0930\u093f\u092d\u093e\u0937\u093e\u090f\u0902 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0902, \u091c\u093f\u0938\u092e\u0947\u0902 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u092e\u093e\u092a \u0914\u0930 \u0938\u093f\u0917\u094d\u092e\u093e-\u092c\u0940\u091c\u0917\u0923\u093f\u0924 \u0936\u093e\u092e\u093f\u0932 \u0939\u0948\u0902\u0964 \u0907\u0938\u0915\u0947 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924, \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0915\u094b \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0906\u0935\u0943\u0924\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0940\u092e\u093e \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0916\u094b\u091c\u093e \u091c\u093e\u0924\u093e \u0939\u0948, 6 \u092e\u0941\u0916 \u0935\u093e\u0932\u0947 \u092a\u093e\u0938\u0947 \u0915\u0947 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f\u0964 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u093e\u0930\u094d\u092f \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947, \u092f\u0939 \u0926\u093f\u0916\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0915\u0948\u0938\u0947 \u0938\u0940\u092e\u093e \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u092e\u093e\u092a \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u091c\u093f\u0938\u0947 \u00ab\u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0906\u0935\u0943\u0924\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0940\u092e\u093e \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e\u00bb \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u091c\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u092e\u093e\u092a \u0915\u0940 \u092a\u094d\u0930\u092e\u0941\u0916 \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0902 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0902 \u0914\u0930 \u092f\u0939 \u0926\u093f\u0916\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0915\u0948\u0938\u0947 \u0915\u0941\u0932 \u092e\u093e\u092e\u0932\u094b\u0902 \u092a\u0930 \u0905\u0928\u0941\u0915\u0942\u0932 \u092e\u093e\u092e\u0932\u094b\u0902 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0940 \u091c\u093e \u0938\u0915\u0924\u0940 \u0939\u0948\u0964 \u092f\u0939 \u091c\u094d\u091e\u093e\u0928 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u094b \u0938\u092e\u091d\u0928\u0947 \u0914\u0930 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0938\u0902\u0926\u0930\u094d\u092d\u094b\u0902 \u092e\u0947\u0902 \u0928\u093f\u0930\u094d\u0923\u092f \u0932\u0947\u0928\u0947 \u092e\u0947\u0902 \u0907\u0938\u0915\u0947 \u0905\u0928\u0941\u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0947 \u0932\u093f\u090f \u092e\u094c\u0932\u093f\u0915 \u0939\u0948\u0964<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u0936\u093f\u0915\u094d\u0937\u0923 \u0909\u0926\u094d\u0926\u0947\u0936\u094d\u092f:<\/strong><br \/>\n\u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u0915\u094b \u092a\u0942\u0930\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926 \u091b\u093e\u0924\u094d\u0930 \u0938\u0915\u094d\u0937\u092e \u0939\u094b\u0917\u093e:\n<\/p>\n<ol>\n<li><strong>\u091c\u093e\u0928\u0928\u093e<\/strong> \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u092e\u093e\u092a \u0915\u0940 \u092a\u0930\u093f\u092d\u093e\u0937\u093e \u0914\u0930 \u0907\u0938\u0915\u0940 \u092e\u094c\u0932\u093f\u0915 \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0902\u0964<\/li>\n<li><strong>\u0938\u092e\u091d\u0928\u093e<\/strong> \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0915\u094b \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0906\u0935\u0943\u0924\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0940\u092e\u093e \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902\u0964<\/li>\n<li><strong>\u0917\u0923\u0928\u093e \u0915\u0930\u0928\u093e<\/strong> \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u00ab\u0915\u0941\u0932 \u092e\u093e\u092e\u0932\u094b\u0902 \u092a\u0930 \u0905\u0928\u0941\u0915\u0942\u0932 \u092e\u093e\u092e\u0932\u094b\u0902 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e\u00bb \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947\u0964<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong>\u0935\u093f\u0937\u092f-\u0938\u0942\u091a\u0940<\/strong><br \/>\n<a href=\"#1\">\u092e\u0942\u0932\u092d\u0942\u0924 \u092a\u0930\u093f\u092d\u093e\u0937\u093e\u090f\u0902<\/a><br \/>\n<a href=\"#2\">\u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0906\u0935\u0943\u0924\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0940\u092e\u093e \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902<\/a><br \/>\n<center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/hJJpgf1jRvM\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u092e\u0942\u0932\u092d\u0942\u0924 \u092a\u0930\u093f\u092d\u093e\u0937\u093e\u090f\u0901<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=hJJpgf1jRvM&amp;t=117s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u0947 \u0938\u094d\u0925\u093e\u0928 \u0915\u093e \u0938\u093e\u0930<\/span><\/strong><\/a> \u092f\u0939\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092e\u093e\u092a \u0915\u093e \u0935\u093f\u091a\u093e\u0930 \u0939\u0948\u0964 \u092f\u0939 \u0935\u0939 \u0915\u093e\u0930\u094d\u092f \u0939\u0948 \u091c\u094b \u0905\u0902\u0924\u0924\u0903 \u0915\u093f\u0938\u0940 \u0918\u091f\u0928\u093e \u0915\u0947 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u094b \u092e\u093e\u092a\u0924\u093e \u0939\u0948\u0964<\/p>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=hJJpgf1jRvM&amp;t=157s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092e\u093e\u092a<\/span><\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">P<\/span> \u0910\u0938\u093e \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0939\u0948 \u091c\u094b\u0964 \u0926\u093f\u090f \u0917\u090f \u090f\u0915 <strong><a href=\"http:\/\/toposuranos.com\/material\/es\/que-es-una-sigma-algebra-definicion-y-ejemplos\/\" rel=\"noopener\" target=\"_blank\">\u0938\u093f\u0917\u094d\u092e\u093e-\u092c\u0940\u091c\u0917\u0923\u093f\u0924<\/a><\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">\\Sigma=(\\Omega,\\mathcal{A})<\/span> \u0915\u0947 \u0932\u093f\u090f, \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0918\u091f\u0928\u093e <span class=\"katex-eq\" data-katex-display=\"false\">E\\in\\mathcal{A}<\/span> \u0915\u094b \u090f\u0915 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0906\u0935\u0902\u091f\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092e\u093e\u092a \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0917\u0941\u0923\u094b\u0902 \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u093e \u0939\u0948:<\/p>\n<ol style=\"text-align: justify; color: #000000;\">\n<li><span class=\"katex-eq\" data-katex-display=\"false\">(E\\in \\mathcal{A}) \\rightarrow (0 \\leq P(E) \\leq 1)<\/span><\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">P(\\Omega) = 1<\/span><\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">\\left[E_1,_2 \\in \\mathcal{A}\\right] \\rightarrow \\left[ (E_1 \\cap E_2 = \\emptyset) \\rightarrow \\left(P\\left(E_1 \\cup E_2 \\right) = P(E_1) + P(E_2) \\right) \\right]<\/span><\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[E_1 \\subseteq E_2 \\subseteq \\cdots \\subseteq E_n \\in \\mathcal{A}\\right] \\rightarrow \\left[P \\left(\\bigcup_{n=1}^\\infty E_n \\right) = \\lim_{n\\to\\infty}P(E_n)\\right]<\/span> <span style=\"color: #800000;\">(\u0928\u093f\u0930\u0902\u0924\u0930\u0924\u093e)<\/span><\/li>\n<\/ol>\n<p><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/apuestas.jpg\" alt=\"\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092e\u093e\u092a, \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0906\u0935\u0943\u0924\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0940\u092e\u093e\" width=\"1280\" height=\"720\" class=\"aligncenter size-full wp-image-25465 lazyload\" \/><noscript><img decoding=\"async\" src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/apuestas.jpg\" alt=\"\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092e\u093e\u092a, \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0906\u0935\u0943\u0924\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0940\u092e\u093e\" width=\"1280\" height=\"720\" class=\"aligncenter size-full wp-image-25465 lazyload\" srcset=\"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/apuestas.jpg 1280w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/apuestas-300x169.jpg 300w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/apuestas-1024x576.jpg 1024w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/apuestas-768x432.jpg 768w\" sizes=\"(max-width: 1280px) 100vw, 1280px\" \/><\/noscript><\/center><br \/>\n<a name=\"2\"><\/a><\/p>\n<h2>\u0938\u093e\u092a\u0947\u0915\u094d\u0937\u093f\u0915 \u0906\u0935\u0943\u0924\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0940\u092e\u093e \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0938\u0902\u092d\u093e\u0935\u0928\u093e<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=hJJpgf1jRvM&amp;t=510s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0907\u0938 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0915\u094b \u0938\u092e\u091d\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948<\/span><\/strong><\/a> \u00ab\u0938\u093e\u092a\u0947\u0915\u094d\u0937\u093f\u0915 \u0906\u0935\u0943\u0924\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0940\u092e\u093e\u00bb \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u0947 \u0938\u0939\u091c \u0935\u093f\u091a\u093e\u0930 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947\u0964 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, \u0909\u0938 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u094b \u0932\u0947\u0902 \u091c\u093f\u0938\u092e\u0947\u0902 <span class=\"katex-eq\" data-katex-display=\"false\">N<\/span> \u092c\u093e\u0930 \u090f\u0915 \u091b\u0939-\u092b\u0932\u0915 \u0935\u093e\u0932\u0947 \u092a\u093e\u0938\u0947 \u0915\u094b \u092b\u0947\u0902\u0915\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0939\u0930 \u092b\u0947\u0902\u0915 \u0915\u0947 \u0932\u093f\u090f <strong><a href=\"http:\/\/toposuranos.com\/material\/es\/conoce-el-espacio-muestral-de-la-teoria-de-las-probabilidades\/\" rel=\"noopener\" target=\"_blank\">\u0928\u092e\u0942\u0928\u093e \u0938\u094d\u0925\u093e\u0928<\/a><\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{1d6} = \\{1,2,3,4,5,6\\}<\/span> \u0939\u0948\u0964 \u092f\u0926\u093f <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{1d6}<\/span> \u0915\u0940 \u0915\u094b\u0908 \u092d\u0940 \u0918\u091f\u0928\u093e \u0939\u0948, \u0924\u094b \u0939\u092e <span class=\"katex-eq\" data-katex-display=\"false\">N<\/span> \u092c\u093e\u0930 \u092b\u0947\u0902\u0915\u0928\u0947 \u092a\u0930 \u0918\u091f\u0928\u093e <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f <span class=\"katex-eq\" data-katex-display=\"false\">f_N(A)<\/span> \u0915\u094b \u092e\u093e\u092a \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938\u0947 \u0915\u0930\u0915\u0947 \u0939\u092e \u092a\u093e\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">0 \\leq f_N(A) \\leq f_N(\\Omega_{1d6}) = N<\/span>,<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0914\u0930 \u092f\u0926\u093f \u0939\u092e <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{1d6}<\/span> \u0915\u0940 \u0926\u0942\u0938\u0930\u0940 \u0918\u091f\u0928\u093e <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0930\u0947\u0902, \u0924\u094b \u092f\u0939 \u0939\u094b\u0917\u093e \u0915\u093f:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">(A\\cap B = \\emptyset ) \\rightarrow (f_N(A\\cup B) = f_N(A)+f_N(B) )<\/span>\n<p style=\"text-align: justify; color: #000000;\">\u0907\u0938\u0938\u0947 \u0939\u092e \u090f\u0915 \u0928\u092f\u093e \u00ab\u092b\u093c\u0902\u0915\u094d\u0936\u0928\u00bb <span class=\"katex-eq\" data-katex-display=\"false\">g_N<\/span> \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u091c\u093f\u0938\u0947 \u0939\u092e <strong>\u0938\u093e\u092a\u0947\u0915\u094d\u0937\u093f\u0915 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u0939\u0924\u0947 \u0939\u0948\u0902,<\/strong> \u0907\u0938 \u0905\u092d\u093f\u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947<\/p>\n<p style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">g_N(A) = \\displaystyle \\frac{f_N(A)}{N}<\/span>\n<p style=\"text-align: justify; color: #000000;\">\u0939\u092e \u0926\u0947\u0916\u0947\u0902\u0917\u0947 \u0915\u093f <span class=\"katex-eq\" data-katex-display=\"false\">g_N<\/span> \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u092a\u0939\u0932\u0947 \u0924\u0940\u0928 \u0917\u0941\u0923\u094b\u0902 \u0915\u093e \u092a\u093e\u0932\u0928 \u0915\u0930\u0924\u093e \u0939\u0948, \u0915\u0947\u0935\u0932 \u091a\u094c\u0925\u093e (\u0928\u093f\u0930\u0902\u0924\u0930\u0924\u093e) \u0907\u0938 \u0924\u0930\u0939 \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e, \u0932\u0947\u0915\u093f\u0928 \u0907\u0938\u0947 \u00ab\u0924\u0915\u0928\u0940\u0915\u0940\u00bb \u0915\u093e\u0930\u0923\u094b\u0902 \u0938\u0947 \u092a\u0947\u0936 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0915\u0941\u091b \u092a\u0930\u093f\u0923\u093e\u092e \u0907\u0938 \u0917\u0941\u0923 \u0915\u0947 \u092c\u093f\u0928\u093e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0915\u093f\u090f \u091c\u093e \u0938\u0915\u0924\u0947\u0964<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u092b\u093f\u0930 \u092d\u0940, <span class=\"katex-eq\" data-katex-display=\"false\">g_N<\/span> \u0905\u092d\u0940 \u092d\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u093e \u092e\u093e\u092a \u0928\u0939\u0940\u0902 \u0939\u0948, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u092f\u0939 \u0905\u092d\u0940 \u092d\u0940 \u090f\u0915 \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964 \u092f\u0939 \u0907\u0938\u0932\u093f\u090f \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f <span class=\"katex-eq\" data-katex-display=\"false\">N<\/span> \u0915\u0947 \u092e\u093e\u0928 \u0915\u0940 \u092a\u0930\u0935\u093e\u0939 \u0915\u093f\u090f \u092c\u093f\u0928\u093e, <span class=\"katex-eq\" data-katex-display=\"false\">g_N<\/span> \u090f\u0915 \u0905\u0928\u0942\u0920\u093e \u092e\u0942\u0932\u094d\u092f \u092a\u094d\u0930\u0926\u093e\u0928 \u0928\u0939\u0940\u0902 \u0915\u0930\u0924\u093e \u0939\u0948, \u091c\u0948\u0938\u093e \u0915\u093f \u090f\u0915 \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u0930\u0947\u0917\u093e\u0964 \u0907\u0938\u0947 \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0939\u092e \u0938\u0940\u092e\u093e \u092e\u0947\u0902 \u090f\u0915 \u0915\u0926\u092e \u091c\u094b\u0921\u093c\u0924\u0947 \u0939\u0948\u0902 \u0924\u093e\u0915\u093f \u0905\u0902\u0924\u0924\u0903 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u093e \u090f\u0915 \u092e\u093e\u092a \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930 \u0938\u0915\u0947\u0902, \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle P(A) = \\lim_{N\\to\\infty} g_N(A)<\/span>\n<p style=\"text-align: justify; color: #000000;\">\u092f\u0939 \u0935\u0939 \u0939\u0948 \u091c\u093f\u0938\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937\u093f\u0915 \u0906\u0935\u0943\u0924\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0940\u092e\u093e \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u091c\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<h3>\u0909\u0926\u093e\u0939\u0930\u0923: \u091b\u0939-\u092b\u0932\u0915 \u0935\u093e\u0932\u0947 \u092a\u093e\u0938\u0947 \u0915\u093e \u092b\u0947\u0902\u0915<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=hJJpgf1jRvM&amp;t=932s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u091b\u0939-\u092b\u0932\u0915 \u0935\u093e\u0932\u0947 \u092a\u093e\u0938\u0947 \u0915\u0947 \u092b\u0947\u0902\u0915 \u0915\u0947 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u094b \u091c\u093e\u0930\u0940 \u0930\u0916\u0924\u0947 \u0939\u0941\u090f,<\/span> <\/strong><\/a>\u092f\u0939 \u0939\u094b\u0917\u093e \u0915\u093f:<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\left(\\forall x\\in\\{1,2,3,4,5,6\\}\\right) \\left( g_N(\\{x\\}) = \\frac{f_N(\\{x\\})}{N}\\right)<\/span>\n<p style=\"text-align: justify; color: #000000;\">\u0914\u0930 \u092f\u0926\u093f \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0908 \u092c\u093e\u0930 \u0926\u094b\u0939\u0930\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u0939\u092e \u092a\u0941\u0937\u094d\u091f\u093f \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left(\\forall x\\in\\{1,2,3,4,5,6\\} \\right) \\left( \\lim_{N \\to \\infty} g_N(\\{x\\}) = \\displaystyle \\frac{1}{6} \\right)<\/span>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{N \\to \\infty} g_N(\\Omega_{1d6}) = 1<\/span>\n<p style=\"text-align: justify; color: #000000;\">\u0907\u0938\u0932\u093f\u090f \u0905\u0917\u0930 \u0939\u092e <span class=\"katex-eq\" data-katex-display=\"false\">P(\\{x\\}) = \\lim_{N\\to\\infty} g_N(\\{x\\})<\/span> \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u092f\u0939 \u0939\u094b\u0917\u093e:<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle P(x=\\{1,3,5\\}) = P(\\{1\\}\\cup\\{3\\}\\cup\\{5\\}) = P(\\{1\\})+P(\\{3\\})+P(\\{5\\}) = \\frac{1}{6}+\\frac{1}{6}+\\frac{1}{6}= \\frac{1}{2} <\/span>\n<p style=\"text-align: justify; color: #000000;\">\u0907\u0938 \u0909\u0926\u093e\u0939\u0930\u0923 \u0938\u0947 \u092f\u0939 \u092d\u0940 \u0906\u0938\u093e\u0928\u0940 \u0938\u0947 \u0938\u092e\u091d\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u0915\u093f, \u0915\u093f\u0938\u0940 <span class=\"katex-eq\" data-katex-display=\"false\">E<\/span> \u0918\u091f\u0928\u093e \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u0928\u092e\u0942\u0928\u093e \u0938\u094d\u0925\u093e\u0928 <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega<\/span> \u092e\u0947\u0902<\/p>\n<p style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle P(E) = \\frac{\\# E}{\\# \\Omega}<\/span>\n<p style=\"text-align: justify; color: #000000;\">\u092f\u0939 \u0935\u0939\u0940 \u0939\u0948 \u091c\u093f\u0938\u0947 \u00ab\u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0905\u0928\u0941\u0915\u0942\u0932 \u092e\u093e\u092e\u0932\u094b\u0902 \u092a\u0930 \u0915\u0941\u0932 \u092e\u093e\u092e\u0932\u094b\u0902 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902\u00bb \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u092f\u0939 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0915\u0947 \u0938\u094d\u0925\u093e\u0928 \u0914\u0930 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0915\u0947 \u092e\u093e\u092a \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u0915\u0908 \u0924\u0930\u094d\u0915\u094b\u0902 \u0915\u094b \u0938\u092e\u091d\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092e\u094c\u0932\u093f\u0915 \u0939\u0948\u0964<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/OAzCnbW3pSw?si=pNyBUqlZEuhRJO4i\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><\/center><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u092e\u093e\u092a \u0915\u0940 \u092a\u094d\u0930\u092e\u0941\u0916 \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0902 \u0938\u093e\u0930\u093e\u0902\u0936\u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u0940 \u092e\u0942\u0932\u092d\u0942\u0924 \u092a\u0930\u093f\u092d\u093e\u0937\u093e\u090f\u0902 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0902, \u091c\u093f\u0938\u092e\u0947\u0902 \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u092e\u093e\u092a \u0914\u0930 \u0938\u093f\u0917\u094d\u092e\u093e-\u092c\u0940\u091c\u0917\u0923\u093f\u0924 \u0936\u093e\u092e\u093f\u0932 \u0939\u0948\u0902\u0964 \u0907\u0938\u0915\u0947 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924, \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e \u0915\u094b \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0906\u0935\u0943\u0924\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u0940 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