{"id":25491,"date":"2021-03-24T00:00:26","date_gmt":"2021-03-24T00:00:26","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=25491"},"modified":"2024-06-05T04:24:07","modified_gmt":"2024-06-05T04:24:07","slug":"%d0%bc%d0%b5%d1%80%d0%b0-%d0%b2%d0%b5%d1%80%d0%be%d1%8f%d1%82%d0%bd%d0%be%d1%81%d1%82%d0%b8-%d0%b8-%d0%b5%d0%b5-%d0%ba%d0%bb%d1%8e%d1%87%d0%b5%d0%b2%d1%8b%d0%b5-%d1%81%d0%b2%d0%be%d0%b9%d1%81%d1%82","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ru\/%d0%bc%d0%b5%d1%80%d0%b0-%d0%b2%d0%b5%d1%80%d0%be%d1%8f%d1%82%d0%bd%d0%be%d1%81%d1%82%d0%b8-%d0%b8-%d0%b5%d0%b5-%d0%ba%d0%bb%d1%8e%d1%87%d0%b5%d0%b2%d1%8b%d0%b5-%d1%81%d0%b2%d0%be%d0%b9%d1%81%d1%82\/","title":{"rendered":"\u041c\u0435\u0440\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u0438 \u0435\u0435 \u043a\u043b\u044e\u0447\u0435\u0432\u044b\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<p><center><\/p>\n<h1>\u041a\u043b\u044e\u0447\u0435\u0432\u044b\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u043d\u043e\u0439 \u043c\u0435\u0440\u044b<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u0420\u0435\u0437\u044e\u043c\u0435<\/strong><br \/><em>\u0412 \u044d\u0442\u043e\u043c \u0443\u0440\u043e\u043a\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u044b \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0442\u0435\u043e\u0440\u0438\u0438 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439, \u0432\u043a\u043b\u044e\u0447\u0430\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u043d\u0443\u044e \u043c\u0435\u0440\u0443 \u0438 \u0441\u0438\u0433\u043c\u0430-\u0430\u043b\u0433\u0435\u0431\u0440\u0443. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0438\u0441\u0441\u043b\u0435\u0434\u0443\u0435\u0442\u0441\u044f \u043f\u043e\u043d\u044f\u0442\u0438\u0435 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u043a\u0430\u043a \u043f\u0440\u0435\u0434\u0435\u043b\u0430 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0430\u0441\u0442\u043e\u0442, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u043f\u0440\u0438\u043c\u0435\u0440 \u0431\u0440\u043e\u0441\u0430\u043d\u0438\u044f \u0448\u0435\u0441\u0442\u0438\u0433\u0440\u0430\u043d\u043d\u043e\u0433\u043e \u043a\u0443\u0431\u0438\u043a\u0430. \u0427\u0435\u0440\u0435\u0437 \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0447\u0430\u0441\u0442\u043e\u0442\u044b \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0438\u0440\u0443\u0435\u0442\u0441\u044f, \u043a\u0430\u043a \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u043d\u0443\u044e \u043c\u0435\u0440\u0443 \u0447\u0435\u0440\u0435\u0437 \u043f\u0440\u0435\u0434\u0435\u043b, \u0447\u0442\u043e \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e \u043a\u0430\u043a \u00ab\u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u043a\u0430\u043a \u043f\u0440\u0435\u0434\u0435\u043b \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0430\u0441\u0442\u043e\u0442\u00bb. \u041f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u044b \u043a\u043b\u044e\u0447\u0435\u0432\u044b\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u043d\u043e\u0439 \u043c\u0435\u0440\u044b, \u0438 \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043e, \u043a\u0430\u043a \u043c\u043e\u0436\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u0441\u043e\u0431\u044b\u0442\u0438\u0439 \u0447\u0435\u0440\u0435\u0437 \u0431\u043b\u0430\u0433\u043e\u043f\u0440\u0438\u044f\u0442\u043d\u044b\u0435 \u0441\u043b\u0443\u0447\u0430\u0438 \u043f\u043e \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044e \u043a\u043e \u0432\u0441\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u044f\u043c. \u042d\u0442\u0438 \u0437\u043d\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u0434\u0430\u043c\u0435\u043d\u0442\u0430\u043b\u044c\u043d\u044b \u0434\u043b\u044f \u043f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u044f \u0442\u0435\u043e\u0440\u0438\u0438 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0438 \u0435\u0435 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u044f \u0432 \u043f\u0440\u0438\u043d\u044f\u0442\u0438\u0438 \u0440\u0435\u0448\u0435\u043d\u0438\u0439 \u0432 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0445 \u043a\u043e\u043d\u0442\u0435\u043a\u0441\u0442\u0430\u0445.<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u0426\u0415\u041b\u0418 \u041e\u0411\u0423\u0427\u0415\u041d\u0418\u042f:<\/strong><br \/>\n\u041f\u043e \u0437\u0430\u0432\u0435\u0440\u0448\u0435\u043d\u0438\u0438 \u044d\u0442\u043e\u0433\u043e \u0443\u0440\u043e\u043a\u0430 \u0441\u0442\u0443\u0434\u0435\u043d\u0442 \u0441\u043c\u043e\u0436\u0435\u0442:\n<\/p>\n<ol>\n<li><strong>\u0417\u043d\u0430\u0442\u044c<\/strong> \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u043d\u043e\u0439 \u043c\u0435\u0440\u044b \u0438 \u0435\u0435 \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430.<\/li>\n<li><strong>\u041f\u043e\u043d\u0438\u043c\u0430\u0442\u044c<\/strong> \u043f\u043e\u043d\u044f\u0442\u0438\u0435 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u043a\u0430\u043a \u043f\u0440\u0435\u0434\u0435\u043b\u0430 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0430\u0441\u0442\u043e\u0442.<\/li>\n<li><strong>\u0412\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c<\/strong> \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u0441\u043e\u0431\u044b\u0442\u0438\u0439 \u0447\u0435\u0440\u0435\u0437 \u00ab\u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u043a\u0430\u043a \u0431\u043b\u0430\u0433\u043e\u043f\u0440\u0438\u044f\u0442\u043d\u044b\u0435 \u0441\u043b\u0443\u0447\u0430\u0438 \u043f\u043e \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044e \u043a\u043e \u0432\u0441\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u044f\u043c\u00bb.<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong>\u0421\u041e\u0414\u0415\u0420\u0416\u0410\u041d\u0418\u0415 \u041a\u0423\u0420\u0421\u0410<\/strong><br \/>\n<a href=\"#1\">\u041e\u0421\u041d\u041e\u0412\u041d\u042b\u0415 \u041e\u041f\u0420\u0415\u0414\u0415\u041b\u0415\u041d\u0418\u042f<\/a><br \/>\n<a href=\"#2\">\u0412\u0415\u0420\u041e\u042f\u0422\u041d\u041e\u0421\u0422\u042c \u041a\u0410\u041a \u041f\u0420\u0415\u0414\u0415\u041b \u041e\u0422\u041d\u041e\u0421\u0418\u0422\u0415\u041b\u042c\u041d\u042b\u0425 \u0427\u0410\u0421\u0422\u041e\u0422<\/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>\u041e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f<\/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;\">\u0427\u0430\u0441\u0442\u044c, \u043a\u043e\u043d\u0434\u0435\u043d\u0441\u0438\u0440\u0443\u044e\u0449\u0430\u044f \u0441\u0443\u0442\u044c \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439<\/span><\/strong><\/a> &#8211; \u044d\u0442\u043e \u0438\u0434\u0435\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u043d\u043e\u0439 \u043c\u0435\u0440\u044b. \u042d\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u043a\u043e\u0442\u043e\u0440\u0430\u044f, \u0432 \u043a\u043e\u043d\u0435\u0447\u043d\u043e\u043c \u0438\u0442\u043e\u0433\u0435, \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u043e \u043e\u0446\u0435\u043d\u0438\u0432\u0430\u0435\u0442 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u0442\u043e\u0433\u043e, \u0447\u0442\u043e \u043f\u0440\u043e\u0438\u0437\u043e\u0439\u0434\u0435\u0442 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0435 \u0441\u043e\u0431\u044b\u0442\u0438\u0435.<\/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;\">\u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u043d\u0430\u044f \u043c\u0435\u0440\u0430<\/span><\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">P<\/span> &#8211; \u044d\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u043a\u043e\u0442\u043e\u0440\u0430\u044f, \u0443\u0447\u0438\u0442\u044b\u0432\u0430\u044f <strong><a href=\"http:\/\/toposuranos.com\/material\/es\/que-es-una-sigma-algebra-definicion-y-ejemplos\/\" rel=\"noopener\" target=\"_blank\">\u0441\u0438\u0433\u043c\u0430-\u0430\u043b\u0433\u0435\u0431\u0440\u0443<\/a><\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">\\Sigma=(\\Omega,\\mathcal{A})<\/span>, \u043d\u0430\u0437\u043d\u0430\u0447\u0430\u0435\u0442 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u043a\u0430\u0436\u0434\u043e\u043c\u0443 \u0441\u043e\u0431\u044b\u0442\u0438\u044e <span class=\"katex-eq\" data-katex-display=\"false\">E\\in\\mathcal{A}<\/span>. \u042d\u0442\u0430 \u043c\u0435\u0440\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430\u043c:<\/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;\">(\u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u043e\u0441\u0442\u044c)<\/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=\"\u043c\u0435\u0440\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438, \u043f\u0440\u0435\u0434\u0435\u043b \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0430\u0441\u0442\u043e\u0442\" 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=\"\u043c\u0435\u0440\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438, \u043f\u0440\u0435\u0434\u0435\u043b \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0430\u0441\u0442\u043e\u0442\" 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>\u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u043a\u0430\u043a \u043f\u0440\u0435\u0434\u0435\u043b \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0430\u0441\u0442\u043e\u0442<\/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;\">\u042d\u0442\u043e \u043f\u043e\u043d\u044f\u0442\u0438\u0435 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u043c\u043e\u0436\u043d\u043e \u043f\u043e\u043d\u044f\u0442\u044c<\/span><\/strong><\/a> \u0447\u0435\u0440\u0435\u0437 \u0438\u043d\u0442\u0443\u0438\u0442\u0438\u0432\u043d\u0443\u044e \u0438\u0434\u0435\u044e \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u043a\u0430\u043a \u00ab\u043f\u0440\u0435\u0434\u0435\u043b\u0430 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0430\u0441\u0442\u043e\u0442\u00bb. \u0412\u043e\u0437\u044c\u043c\u0435\u043c, \u043a \u043f\u0440\u0438\u043c\u0435\u0440\u0443, \u044d\u043a\u0441\u043f\u0435\u0440\u0438\u043c\u0435\u043d\u0442, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u043c <span class=\"katex-eq\" data-katex-display=\"false\">N<\/span> \u0440\u0430\u0437 \u0431\u0440\u043e\u0441\u0430\u0435\u0442\u0441\u044f \u0448\u0435\u0441\u0442\u0438\u0433\u0440\u0430\u043d\u043d\u044b\u0439 \u043a\u0443\u0431\u0438\u043a. <strong><a href=\"http:\/\/toposuranos.com\/material\/es\/conoce-el-espacio-muestral-de-la-teoria-de-las-probabilidades\/\" rel=\"noopener\" target=\"_blank\">\u041f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0440\u043d\u044b\u0445 \u0441\u043e\u0431\u044b\u0442\u0438\u0439<\/a><\/strong> \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0431\u0440\u043e\u0441\u043a\u0430 &#8211; <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{1d6} = \\{1,2,3,4,5,6\\}<\/span>. \u0415\u0441\u043b\u0438 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> &#8211; \u044d\u0442\u043e \u043b\u044e\u0431\u043e\u0435 \u0441\u043e\u0431\u044b\u0442\u0438\u0435 \u0438\u0437 <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{1d6}<\/span>, \u0442\u043e \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0437\u043c\u0435\u0440\u0438\u0442\u044c \u0447\u0430\u0441\u0442\u043e\u0442\u0443 <span class=\"katex-eq\" data-katex-display=\"false\">f_N(A)<\/span>, \u0441 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442 \u0441\u043e\u0431\u044b\u0442\u0438\u0435 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u043f\u0440\u0438 <span class=\"katex-eq\" data-katex-display=\"false\">N<\/span> \u0431\u0440\u043e\u0441\u043a\u0430\u0445. \u0414\u0435\u043b\u0430\u044f \u044d\u0442\u043e, \u043c\u044b \u043f\u043e\u0434\u0442\u0432\u0435\u0440\u0434\u0438\u043c, \u0447\u0442\u043e:<\/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;\">\u0438 \u0435\u0441\u043b\u0438 \u043c\u044b \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0432\u0442\u043e\u0440\u043e\u0435 \u0441\u043e\u0431\u044b\u0442\u0438\u0435 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u0438\u0437 <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{1d6}<\/span>, \u0442\u043e \u043f\u0440\u043e\u0438\u0437\u043e\u0439\u0434\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435:<\/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;\">\u041d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 \u044d\u0442\u043e\u0433\u043e \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043d\u043e\u0432\u0443\u044e \u00ab\u0444\u0443\u043d\u043a\u0446\u0438\u044e\u00bb <span class=\"katex-eq\" data-katex-display=\"false\">g_N<\/span>, \u043a\u043e\u0442\u043e\u0440\u0443\u044e <strong>\u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0447\u0430\u0441\u0442\u043e\u0442\u043e\u0439,<\/strong> \u0447\u0435\u0440\u0435\u0437 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435<\/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;\">\u041c\u044b \u0437\u0430\u043c\u0435\u0442\u0438\u043c, \u0447\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f <span class=\"katex-eq\" data-katex-display=\"false\">g_N<\/span> \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u0435\u0442 \u043f\u0435\u0440\u0432\u044b\u043c \u0442\u0440\u0435\u043c \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430\u043c, \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u043e\u0435 (\u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u043e\u0441\u0442\u044c) \u043d\u0435 \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043e \u0442\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043d\u043e \u043e\u043d\u043e \u0432\u0432\u043e\u0434\u0438\u0442\u0441\u044f \u043f\u043e \u0441\u043a\u043e\u0440\u0435\u0435 \u00ab\u0442\u0435\u0445\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u043c\u00bb \u043f\u0440\u0438\u0447\u0438\u043d\u0430\u043c, \u0442\u0430\u043a \u043a\u0430\u043a \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b \u043d\u0435 \u043c\u043e\u0433\u0443\u0442 \u0431\u044b\u0442\u044c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u044b \u0431\u0435\u0437 \u044d\u0442\u043e\u0433\u043e \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430.<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0422\u0435\u043c \u043d\u0435 \u043c\u0435\u043d\u0435\u0435, <span class=\"katex-eq\" data-katex-display=\"false\">g_N<\/span> \u0435\u0449\u0435 \u043d\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043c\u0435\u0440\u043e\u0439 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u043e\u043d\u0430 \u0435\u0449\u0435 \u043d\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439. \u042d\u0442\u043e \u0441\u0432\u044f\u0437\u0430\u043d\u043e \u0441 \u0442\u0435\u043c, \u0447\u0442\u043e \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e \u043e\u0442 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f <span class=\"katex-eq\" data-katex-display=\"false\">N<\/span>, <span class=\"katex-eq\" data-katex-display=\"false\">g_N<\/span> \u043d\u0435 \u043e\u0431\u044f\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u0434\u0430\u0435\u0442 \u0443\u043d\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435, \u043a\u0430\u043a \u044d\u0442\u043e \u0434\u0435\u043b\u0430\u043b\u0430 \u0431\u044b \u0444\u0443\u043d\u043a\u0446\u0438\u044f. \u0427\u0442\u043e\u0431\u044b \u0440\u0435\u0448\u0438\u0442\u044c \u044d\u0442\u0443 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0443, \u043c\u044b \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u043c \u0448\u0430\u0433 \u043a \u043f\u0440\u0435\u0434\u0435\u043b\u0443, \u0447\u0442\u043e\u0431\u044b \u0432 \u043a\u043e\u043d\u0435\u0447\u043d\u043e\u043c \u0438\u0442\u043e\u0433\u0435 \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u043c\u0435\u0440\u0443 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438, \u043f\u043e\u043b\u0443\u0447\u0430\u044f:<\/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;\">\u042d\u0442\u043e \u0442\u043e, \u0447\u0442\u043e \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e \u043a\u0430\u043a \u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u043a\u0430\u043a \u043f\u0440\u0435\u0434\u0435\u043b \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0430\u0441\u0442\u043e\u0442.<\/p>\n<h3>\u041f\u0440\u0438\u043c\u0435\u0440: \u0431\u0440\u043e\u0441\u043e\u043a \u0448\u0435\u0441\u0442\u0438\u0433\u0440\u0430\u043d\u043d\u043e\u0433\u043e \u043a\u0443\u0431\u0438\u043a\u0430<\/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;\">\u041f\u0440\u043e\u0434\u043e\u043b\u0436\u0430\u044f \u0430\u043d\u0430\u043b\u0438\u0437 \u0431\u0440\u043e\u0441\u043a\u0430 \u0448\u0435\u0441\u0442\u0438\u0433\u0440\u0430\u043d\u043d\u043e\u0433\u043e \u043a\u0443\u0431\u0438\u043a\u0430,<\/span> <\/strong><\/a>\u0431\u0443\u0434\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435:<\/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;\">\u0438 \u0435\u0441\u043b\u0438 \u044d\u043a\u0441\u043f\u0435\u0440\u0438\u043c\u0435\u043d\u0442 \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u0435\u0442\u0441\u044f \u043c\u043d\u043e\u0433\u043e \u0440\u0430\u0437, \u043c\u043e\u0436\u043d\u043e \u0431\u0443\u0434\u0435\u0442 \u043f\u043e\u0434\u0442\u0432\u0435\u0440\u0434\u0438\u0442\u044c, \u0447\u0442\u043e<\/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;\">\u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0435\u0441\u043b\u0438 \u043c\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u043c <span class=\"katex-eq\" data-katex-display=\"false\">P(\\{x\\}) = \\lim_{N\\to\\infty} g_N(\\{x\\})<\/span>, \u0442\u043e \u043f\u0440\u043e\u0438\u0437\u043e\u0439\u0434\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435:<\/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;\">\u0418\u0437 \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u0430 \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u043d\u043e \u043b\u0435\u0433\u043a\u043e \u043f\u043e\u043d\u044f\u0442\u044c, \u0447\u0442\u043e, \u0443\u0447\u0438\u0442\u044b\u0432\u0430\u044f \u0441\u043e\u0431\u044b\u0442\u0438\u0435 <span class=\"katex-eq\" data-katex-display=\"false\">E<\/span> \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0440\u043d\u044b\u0445 \u0441\u043e\u0431\u044b\u0442\u0438\u0439 <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;\">\u042d\u0442\u043e \u0442\u043e, \u0447\u0442\u043e \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e \u043a\u0430\u043a \u00ab\u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u043a\u0430\u043a \u0431\u043b\u0430\u0433\u043e\u043f\u0440\u0438\u044f\u0442\u043d\u044b\u0435 \u0441\u043b\u0443\u0447\u0430\u0438 \u043f\u043e \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044e \u043a \u043e\u0431\u0449\u0435\u043c\u0443 \u0447\u0438\u0441\u043b\u0443 \u0441\u043b\u0443\u0447\u0430\u0435\u0432\u00bb \u0438 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0444\u0443\u043d\u0434\u0430\u043c\u0435\u043d\u0442\u0430\u043b\u044c\u043d\u044b\u043c \u0434\u043b\u044f \u043f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u044f \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0430 \u0440\u0430\u0441\u0441\u0443\u0436\u0434\u0435\u043d\u0438\u0439 \u043e \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0438 \u043c\u0435\u0440\u0435 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438.<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/OAzCnbW3pSw?si=pNyBUqlZEuhRJO4i\" title=\"YouTube video 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\u0441\u0438\u0433\u043c\u0430-\u0430\u043b\u0433\u0435\u0431\u0440\u0443. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0438\u0441\u0441\u043b\u0435\u0434\u0443\u0435\u0442\u0441\u044f \u043f\u043e\u043d\u044f\u0442\u0438\u0435 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u043a\u0430\u043a \u043f\u0440\u0435\u0434\u0435\u043b\u0430 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0430\u0441\u0442\u043e\u0442, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u043f\u0440\u0438\u043c\u0435\u0440 \u0431\u0440\u043e\u0441\u0430\u043d\u0438\u044f \u0448\u0435\u0441\u0442\u0438\u0433\u0440\u0430\u043d\u043d\u043e\u0433\u043e \u043a\u0443\u0431\u0438\u043a\u0430. \u0427\u0435\u0440\u0435\u0437 \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0447\u0430\u0441\u0442\u043e\u0442\u044b \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0438\u0440\u0443\u0435\u0442\u0441\u044f, \u043a\u0430\u043a \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u043d\u0443\u044e \u043c\u0435\u0440\u0443 \u0447\u0435\u0440\u0435\u0437 \u043f\u0440\u0435\u0434\u0435\u043b, \u0447\u0442\u043e \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e \u043a\u0430\u043a \u00ab\u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u043a\u0430\u043a \u043f\u0440\u0435\u0434\u0435\u043b \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0430\u0441\u0442\u043e\u0442\u00bb. \u041f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u044b \u043a\u043b\u044e\u0447\u0435\u0432\u044b\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u043d\u043e\u0439 \u043c\u0435\u0440\u044b, [&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":18,"footnotes":""},"categories":[680,573],"tags":[],"class_list":["post-25491","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-680","category-573"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u041c\u0435\u0440\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u0438 \u0435\u0435 \u043a\u043b\u044e\u0447\u0435\u0432\u044b\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u0423\u0437\u043d\u0430\u0439\u0442\u0435 \u043e \u043c\u0435\u0440\u0435 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438 \u0438 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