{"id":25486,"date":"2021-03-24T00:00:46","date_gmt":"2021-03-24T00:00:46","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=25486"},"modified":"2024-06-05T04:23:12","modified_gmt":"2024-06-05T04:23:12","slug":"%d9%85%d9%82%d9%8a%d8%a7%d8%b3-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa%d9%85%d8%a7%d9%84-%d9%88%d8%ae%d8%b5%d8%a7%d8%a6%d8%b5%d9%87-%d8%a7%d9%84%d8%a3%d8%b3%d8%a7%d8%b3%d9%8a%d8%a9","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ar\/%d9%85%d9%82%d9%8a%d8%a7%d8%b3-%d8%a7%d9%84%d8%a7%d8%ad%d8%aa%d9%85%d8%a7%d9%84-%d9%88%d8%ae%d8%b5%d8%a7%d8%a6%d8%b5%d9%87-%d8%a7%d9%84%d8%a3%d8%b3%d8%a7%d8%b3%d9%8a%d8%a9\/","title":{"rendered":"\u0645\u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u062e\u0635\u0627\u0626\u0635\u0647 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0644\u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u0645\u0644\u062e\u0635<\/strong><br \/><em>\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0641\u0635\u0648\u0644\u060c \u0646\u0642\u062f\u0645 \u0627\u0644\u062a\u0639\u0631\u064a\u0641\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a\u060c \u0628\u0645\u0627 \u0641\u064a \u0630\u0644\u0643 \u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u0627\u0644\u062c\u0628\u0631 \u0627\u0644\u0633\u064a\u062c\u0645\u0627. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0646\u0633\u062a\u0643\u0634\u0641 \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0643\u062d\u062f \u0644\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0646\u0633\u0628\u064a\u0629\u060c \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u062b\u0627\u0644 \u0631\u0645\u064a \u0645\u0643\u0639\u0628 \u0644\u0647 6 \u0648\u062c\u0648\u0647. \u0645\u0646 \u062e\u0644\u0627\u0644 \u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0646\u0633\u0628\u064a\u060c \u0646\u0648\u0636\u062d \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u062d\u062f\u060c \u0648\u0647\u0648 \u0645\u0627 \u064a\u064f\u0639\u0631\u0641 \u0628\u0640\u00bb\u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0643\u062d\u062f \u0644\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0646\u0633\u0628\u064a\u0629\u00bb. \u0646\u0639\u0631\u0636 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0644\u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u0643\u064a\u0641 \u064a\u0645\u0643\u0646 \u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0623\u062d\u062f\u0627\u062b \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0645\u0648\u0627\u062a\u064a\u0629 \u0645\u0642\u0627\u0631\u0646\u0629 \u0628\u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0643\u0644\u064a\u0629. \u0647\u0630\u0647 \u0627\u0644\u0645\u0639\u0631\u0641\u0629 \u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0641\u0647\u0645 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0648\u062a\u0637\u0628\u064a\u0642\u0647\u0627 \u0641\u064a \u0627\u062a\u062e\u0627\u0630 \u0627\u0644\u0642\u0631\u0627\u0631\u0627\u062a \u0641\u064a \u0633\u064a\u0627\u0642\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629.<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645:<\/strong><br \/>\n\u0628\u0639\u062f \u0625\u0643\u0645\u0627\u0644 \u0647\u0630\u0647 \u0627\u0644\u0641\u0635\u0648\u0644\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0637\u0627\u0644\u0628 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649:\n<\/p>\n<ol>\n<li><strong>\u0645\u0639\u0631\u0641\u0629<\/strong> \u062a\u0639\u0631\u064a\u0641 \u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u062e\u0635\u0627\u0626\u0635\u0647 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629.<\/li>\n<li><strong>\u0641\u0647\u0645<\/strong> \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0643\u062d\u062f \u0644\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0646\u0633\u0628\u064a\u0629.<\/li>\n<li><strong>\u062d\u0633\u0627\u0628<\/strong> \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0623\u062d\u062f\u0627\u062b \u0645\u0646 \u062e\u0644\u0627\u0644 \u00ab\u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0643\u062d\u0627\u0644\u0627\u062a \u0645\u0648\u0627\u062a\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0643\u0644\u064a\u0629\u00bb.<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong>\u0641\u0647\u0631\u0633 \u0627\u0644\u0645\u062d\u062a\u0648\u064a\u0627\u062a<\/strong><br \/>\n<a href=\"#1\">\u0627\u0644\u062a\u0639\u0631\u064a\u0641\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629<\/a><br \/>\n<a href=\"#2\">\u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0643\u062d\u062f \u0644\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0646\u0633\u0628\u064a\u0629<\/a><\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/hJJpgf1jRvM\" title=\"\u0645\u0634\u063a\u0644 \u0641\u064a\u062f\u064a\u0648 \u064a\u0648\u062a\u064a\u0648\u0628\" 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>\u0627\u0644\u062a\u0639\u0631\u064a\u0641\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629<\/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;\">\u0627\u0644\u062c\u0632\u0621 \u0627\u0644\u0630\u064a \u064a\u0643\u062b\u0641 \u062c\u0648\u0647\u0631 \u0641\u0636\u0627\u0621 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a<\/span><\/strong><\/a> \u0647\u0648 \u0641\u0643\u0631\u0629 \u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0628\u0627\u0644\u0630\u0627\u062a. \u0647\u0630\u0647 \u0647\u064a \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u064a \u062a\u0642\u064a\u0633 \u0641\u064a \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u0642\u0648\u0639 \u062d\u062f\u062b \u0645\u0639\u064a\u0646.<\/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;\">\u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644<\/span><\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">P<\/span> \u0647\u064a \u0648\u0638\u064a\u0641\u0629 \u0628\u062d\u064a\u062b\u060c \u0639\u0646\u062f \u0625\u0639\u0637\u0627\u0621 <strong><a href=\"http:\/\/toposuranos.com\/material\/es\/que-es-una-sigma-algebra-definicion-y-ejemplos\/\" rel=\"noopener\" target=\"_blank\">\u062c\u0628\u0631 \u0633\u064a\u062c\u0645\u0627<\/a><\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">\\Sigma=(\\Omega,\\mathcal{A})<\/span>\u060c \u062a\u0639\u064a\u0646 \u0627\u062d\u062a\u0645\u0627\u0644\u064b\u0627 \u0644\u0643\u0644 \u062d\u062f\u062b <span class=\"katex-eq\" data-katex-display=\"false\">E\\in\\mathcal{A}<\/span>. \u0648\u062a\u0631\u0636\u064a \u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/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;\">(\u0627\u0644\u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629)<\/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=\"\u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u060c \u062d\u062f \u0627\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0646\u0633\u0628\u064a\u0629\" 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=\"\u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u060c \u062d\u062f \u0627\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0646\u0633\u0628\u064a\u0629\" 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>\u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0643\u062d\u062f \u0644\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0646\u0633\u0628\u064a\u0629<\/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;\">\u064a\u0645\u0643\u0646 \u0641\u0647\u0645 \u0647\u0630\u0647 \u0627\u0644\u0641\u0643\u0631\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629<\/span><\/strong><\/a> \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0641\u0643\u0631\u0629 \u0627\u0644\u0628\u062f\u064a\u0647\u064a\u0629 \u0644\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0643\u0640 \u00ab\u062d\u062f \u0644\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0646\u0633\u0628\u064a\u0629\u00bb. \u062e\u0630 \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0627\u0644\u062a\u062c\u0631\u0628\u0629 \u0627\u0644\u062a\u064a \u064a\u064f\u0644\u0642\u0649 \u0641\u064a\u0647\u0627 <span class=\"katex-eq\" data-katex-display=\"false\">N<\/span> \u0645\u0631\u0627\u062a \u0646\u0631\u062f \u0630\u0648 6 \u0623\u0648\u062c\u0647. <strong><a href=\"http:\/\/toposuranos.com\/material\/es\/conoce-el-espacio-muestral-de-la-teoria-de-las-probabilidades\/\" rel=\"noopener\" target=\"_blank\">\u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0639\u064a\u0646\u064a<\/a><\/strong> \u0644\u0643\u0644 \u0631\u0645\u064a\u0629 \u0647\u0648 <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{1d6} = \\{1,2,3,4,5,6\\}<\/span>. \u0625\u0630\u0627 \u0643\u0627\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u062d\u062f\u062b\u064b\u0627 \u0639\u0634\u0648\u0627\u0626\u064a\u064b\u0627 \u0645\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{1d6}<\/span>\u060c \u0641\u064a\u0645\u0643\u0646\u0646\u0627 \u0642\u064a\u0627\u0633 \u0627\u0644\u062a\u0631\u062f\u062f <span class=\"katex-eq\" data-katex-display=\"false\">f_N(A)<\/span> \u0627\u0644\u0630\u064a \u064a\u062d\u062f\u062b \u0641\u064a\u0647 \u0627\u0644\u062d\u062f\u062b <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0639\u0646\u062f \u062a\u0646\u0641\u064a\u0630 <span class=\"katex-eq\" data-katex-display=\"false\">N<\/span> \u0631\u0645\u064a\u0627\u062a. \u0645\u0646 \u062e\u0644\u0627\u0644 \u0630\u0644\u0643\u060c \u0633\u0646\u062a\u062d\u0642\u0642 \u0645\u0646:<\/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;\">\u0648\u0625\u0630\u0627 \u0627\u0639\u062a\u0628\u0631\u0646\u0627 \u062d\u062f\u062b\u064b\u0627 \u0639\u0634\u0648\u0627\u0626\u064a\u064b\u0627 \u0622\u062e\u0631 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u0645\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{1d6}<\/span>\u060c \u0641\u0633\u064a\u062d\u062f\u062b \u0623\u0646:<\/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;\">\u0627\u0633\u062a\u0646\u0627\u062f\u064b\u0627 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0639\u0631\u064a\u0641 \u0648\u0638\u064a\u0641\u0629 \u062c\u062f\u064a\u062f\u0629 <span class=\"katex-eq\" data-katex-display=\"false\">g_N<\/span>\u060c \u0648\u0627\u0644\u062a\u064a <strong>\u0646\u0633\u0645\u064a\u0647\u0627 \u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0646\u0633\u0628\u064a\u060c<\/strong> \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u062a\u0639\u0628\u064a\u0631<\/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;\">\u0633\u0646\u0644\u0627\u062d\u0638 \u0623\u0646 \u0648\u0638\u064a\u0641\u0629 <span class=\"katex-eq\" data-katex-display=\"false\">g_N<\/span> \u062a\u0644\u0628\u064a \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062b\u0644\u0627\u062b \u0627\u0644\u0623\u0648\u0644\u0649\u060c \u0648\u0644\u0643\u0646 \u0627\u0644\u0631\u0627\u0628\u0639\u0629 (\u0627\u0644\u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629) \u0644\u0627 \u064a\u0645\u0643\u0646 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u064a\u0647\u0627 \u0628\u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629\u060c \u0648\u0644\u0643\u0646 \u062a\u064f\u062f\u062e\u0644 \u0644\u0623\u0633\u0628\u0627\u0628 \u062a\u0642\u0646\u064a\u0629 \u0628\u062d\u062a\u0629 \u062d\u064a\u062b \u0623\u0646 \u0628\u0639\u0636 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0644\u0627 \u064a\u0645\u0643\u0646 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u064a\u0647\u0627 \u0628\u062f\u0648\u0646 \u0647\u0630\u0647 \u0627\u0644\u062e\u0627\u0635\u064a\u0629.<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u062d\u062a\u0649 \u0645\u0639 \u0630\u0644\u0643\u060c <span class=\"katex-eq\" data-katex-display=\"false\">g_N<\/span> \u0644\u064a\u0633\u062a \u0628\u0639\u062f \u0645\u0642\u064a\u0627\u0633 \u0627\u062d\u062a\u0645\u0627\u0644\u060c \u0644\u0623\u0646\u0647\u0627 \u0644\u064a\u0633\u062a \u0628\u0639\u062f \u0648\u0638\u064a\u0641\u0629. \u0647\u0630\u0627 \u0644\u0623\u0646\u0647 \u0628\u063a\u0636 \u0627\u0644\u0646\u0638\u0631 \u0639\u0646 \u0642\u064a\u0645\u0629 <span class=\"katex-eq\" data-katex-display=\"false\">N<\/span>\u060c <span class=\"katex-eq\" data-katex-display=\"false\">g_N<\/span> \u0644\u0627 \u062a\u0639\u0637\u064a \u0628\u0627\u0644\u0636\u0631\u0648\u0631\u0629 \u0642\u064a\u0645\u0629 \u0641\u0631\u064a\u062f\u0629 \u0643\u0645\u0627 \u062a\u0641\u0639\u0644 \u0648\u0638\u064a\u0641\u0629. \u0644\u062d\u0644 \u0647\u0630\u0627 \u0646\u0636\u064a\u0641 \u062e\u0637\u0648\u0629 \u0625\u0644\u0649 \u0627\u0644\u062d\u062f \u0644\u0644\u062d\u0635\u0648\u0644 \u0623\u062e\u064a\u0631\u064b\u0627 \u0639\u0644\u0649 \u0645\u0642\u064a\u0627\u0633 \u0627\u062d\u062a\u0645\u0627\u0644\u060c \u062d\u064a\u062b \u0646\u062d\u0635\u0644 \u0639\u0644\u0649:<\/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;\">\u0647\u0630\u0627 \u0645\u0627 \u064a\u0639\u0631\u0641 \u0628\u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0643\u062d\u062f \u0644\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0646\u0633\u0628\u064a\u0629.<\/p>\n<h3>\u0645\u062b\u0627\u0644: \u0631\u0645\u064a\u0629 \u0646\u0631\u062f<\/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;\">\u0645\u0648\u0627\u0635\u0644\u0629 \u062a\u062d\u0644\u064a\u0644 \u0631\u0645\u064a\u0629 \u0646\u0631\u062f \u0630\u064a 6 \u0623\u0648\u062c\u0647\u060c<\/span> <\/strong><\/a>\u0633\u064a\u0643\u0648\u0646 \u0644\u062f\u064a\u0646\u0627:<\/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;\">\u0648\u0625\u0630\u0627 \u062a\u0645 \u062a\u0643\u0631\u0627\u0631 \u0627\u0644\u062a\u062c\u0631\u0628\u0629 \u0639\u062f\u0629 \u0645\u0631\u0627\u062a\u060c \u0633\u064a\u0645\u0643\u0646 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646<\/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;\">\u0644\u0630\u0644\u0643 \u0625\u0630\u0627 \u0639\u0631\u0641\u0646\u0627 <span class=\"katex-eq\" data-katex-display=\"false\">P(\\{x\\}) = \\lim_{N\\to\\infty} g_N(\\{x\\})<\/span>\u060c \u0641\u0633\u064a\u062d\u062f\u062b \u0623\u0646:<\/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;\">\u0645\u0646 \u0647\u0630\u0627 \u0627\u0644\u0645\u062b\u0627\u0644 \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0627\u0644\u0633\u0647\u0644 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0623\u0646\u0647\u060c \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u062d\u062f\u062b <span class=\"katex-eq\" data-katex-display=\"false\">E<\/span> \u0645\u0646 \u0641\u0636\u0627\u0621 \u0639\u064a\u0646\u064a <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega<\/span>\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;\">\u0647\u0630\u0627 \u0645\u0627 \u064a\u0639\u0631\u0641 \u0628\u0640 \u00ab\u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0643\u062d\u0627\u0644\u0627\u062a \u0645\u0648\u0627\u062a\u064a\u0629 \u0639\u0644\u0649 \u0625\u062c\u0645\u0627\u0644\u064a \u0627\u0644\u062d\u0627\u0644\u0627\u062a\u00bb \u0648\u0647\u0648 \u0623\u0633\u0627\u0633\u064a \u0644\u0641\u0647\u0645 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u062a\u0641\u0643\u064a\u0631\u0627\u062a \u062d\u0648\u0644 \u0641\u0636\u0627\u0621 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0648\u0645\u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644.<\/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>\u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0644\u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0645\u0644\u062e\u0635\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0641\u0635\u0648\u0644\u060c \u0646\u0642\u062f\u0645 \u0627\u0644\u062a\u0639\u0631\u064a\u0641\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a\u060c \u0628\u0645\u0627 \u0641\u064a \u0630\u0644\u0643 \u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u0627\u0644\u062c\u0628\u0631 \u0627\u0644\u0633\u064a\u062c\u0645\u0627. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0646\u0633\u062a\u0643\u0634\u0641 \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0643\u062d\u062f \u0644\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0646\u0633\u0628\u064a\u0629\u060c \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u062b\u0627\u0644 \u0631\u0645\u064a \u0645\u0643\u0639\u0628 \u0644\u0647 6 \u0648\u062c\u0648\u0647. \u0645\u0646 \u062e\u0644\u0627\u0644 \u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0646\u0633\u0628\u064a\u060c \u0646\u0648\u0636\u062d \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u062d\u062f\u060c \u0648\u0647\u0648 \u0645\u0627 \u064a\u064f\u0639\u0631\u0641 \u0628\u0640\u00bb\u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0643\u062d\u062f \u0644\u0644\u062a\u0631\u062f\u062f\u0627\u062a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":25477,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":8,"footnotes":""},"categories":[676,565],"tags":[],"class_list":["post-25486","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-676","category-565"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0645\u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u062e\u0635\u0627\u0626\u0635\u0647 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u062a\u0639\u0644\u0645 \u0639\u0646 \u0645\u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0643\u062d\u062f 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