{"id":376,"date":"2023-08-01T12:09:39","date_gmt":"2023-08-01T12:09:39","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d9%85%d8%a8%d8%b1%d9%87%d9%86%d8%a9-%d8%a8%d8%a7%d9%8a%d8%b2\/"},"modified":"2023-08-01T12:09:39","modified_gmt":"2023-08-01T12:09:39","slug":"%d9%85%d8%a8%d8%b1%d9%87%d9%86%d8%a9-%d8%a8%d8%a7%d9%8a%d8%b2","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d9%85%d8%a8%d8%b1%d9%87%d9%86%d8%a9-%d8%a8%d8%a7%d9%8a%d8%b2\/","title":{"rendered":"\u0645\u0628\u0631\u0647\u0646\u0629 \u0628\u0627\u064a\u0632"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u062a\u0634\u0631\u062d \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0645\u0627 \u0647\u064a \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632 \u0648\u0641\u064a\u0645\u0627 \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0641\u064a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0648\u0627\u0644\u0625\u062d\u0635\u0627\u0621. \u0648\u0647\u0643\u0630\u0627 \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0645\u0627 \u0647\u064a \u0635\u064a\u063a\u0629 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632\u060c \u0648\u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629 \u0644\u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632\u060c \u0648\u0645\u0627 \u0647\u064a \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0647\u0630\u0647 \u0627\u0644\u0646\u0638\u0631\u064a\u0629.<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-teorema-de-bayes\"><\/span> \u0645\u0627 \u0647\u064a \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a\u060c <strong>\u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632<\/strong> \u0647\u064a \u0642\u0627\u0646\u0648\u0646 \u064a\u0633\u062a\u062e\u062f\u0645 \u0644\u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u062d\u062f\u062b \u0645\u0627 \u0639\u0646\u062f \u0645\u0639\u0631\u0641\u0629 \u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0645\u0633\u0628\u0642\u0629 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u062d\u062f\u062b.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0634\u0643\u0644 \u0623\u0643\u062b\u0631 \u062a\u062d\u062f\u064a\u062f\u064b\u0627\u060c \u062a\u0631\u0628\u0637 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632 \u0631\u064a\u0627\u0636\u064a\u064b\u0627 \u0628\u064a\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u0642\u0648\u0639 \u0627\u0644\u062d\u062f\u062b A \u0628\u0645\u0639\u0644\u0648\u0645\u064a\u0629 \u0627\u0644\u062d\u062f\u062b B \u0625\u0644\u0649 \u0627\u062d\u062a\u0645\u0627\u0644 B \u0628\u0645\u0639\u0644\u0648\u0645\u064a\u0629 A.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0625\u0630\u0627 \u0643\u0646\u062a \u062a\u0639\u0631\u0641 \u0645\u0633\u0628\u0642\u064b\u0627 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0625\u0635\u0627\u0628\u0629 \u0634\u062e\u0635 \u0645\u0627 \u0628\u0627\u0644\u0635\u062f\u0627\u0639 \u0639\u0646\u062f \u0625\u0635\u0627\u0628\u062a\u0647 \u0628\u0627\u0644\u0623\u0646\u0641\u0644\u0648\u0646\u0632\u0627\u060c \u0641\u064a\u0645\u0643\u0646\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632 \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0625\u0635\u0627\u0628\u0629 \u0627\u0644\u0634\u062e\u0635 \u0628\u0627\u0644\u0623\u0646\u0641\u0644\u0648\u0646\u0632\u0627 \u0639\u0646\u062f \u0625\u0635\u0627\u0628\u062a\u0647 \u0628\u0627\u0644\u0635\u062f\u0627\u0639.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632 \u0644\u0647\u0627 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a\u060c \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0641\u064a \u0627\u0644\u0637\u0628 \u0623\u0648 \u0627\u0644\u0627\u0642\u062a\u0635\u0627\u062f \u0623\u0648 \u0627\u0644\u062a\u0643\u0646\u0648\u0644\u0648\u062c\u064a\u0627 \u0644\u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0623\u062d\u062f\u0627\u062b \u0645\u0639\u064a\u0646\u0629 \u0645\u0634\u0631\u0648\u0637\u0629 \u0628\u0623\u062d\u062f\u0627\u062b \u0623\u062e\u0631\u0649. \u0623\u062f\u0646\u0627\u0647\u060c \u0633\u0648\u0641 \u0646\u062a\u0646\u0627\u0648\u0644 \u0628\u0627\u0644\u062a\u0641\u0635\u064a\u0644 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u0644\u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0645 \u0627\u062e\u062a\u0631\u0627\u0639 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632 \u0645\u0646 \u0642\u0628\u0644 \u0639\u0627\u0644\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u0625\u0646\u062c\u0644\u064a\u0632\u064a \u062a\u0648\u0645\u0627\u0633 \u0628\u0627\u064a\u0632 (1702-1761)\u060c \u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0646\u0634\u0631\u0647\u0627 \u0628\u0639\u062f \u0648\u0641\u0627\u062a\u0647 \u0641\u064a \u0639\u0627\u0645 1763. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;;text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644-\u0627\u0644\u0645\u0634\u0631\u0648\u0637-\u0627\u0644\u0645\u0634\u0631\u0648\u0637\/\">\u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0634\u0631\u0637\u064a<\/a> <\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"formula-del-teorema-de-bayes\"><\/span> \u0635\u064a\u063a\u0629 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0642\u0648\u0644 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632 \u0623\u0646\u0647 \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0639\u064a\u0646\u0629 \u0645\u0646 \u0627\u0644\u0641\u0636\u0627\u0621 \u0645\u0643\u0648\u0646\u0629 \u0645\u0646 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 <a href=\"https:\/\/statorials.org\/ar\/\u0627\u062d\u062f\u0627\u062b-\u062d\u0635\u0631\u064a\u0629-\u0645\u062a\u0628\u0627\u062f\u0644\u0629\/\">\u0627\u0644\u0623\u062d\u062f\u0627\u062b \u0627\u0644\u0645\u062a\u0646\u0627\u0641\u064a\u0629<\/a> {A <sub>1<\/sub> , A <sub>2<\/sub> ,\u2026, A <sub>i<\/sub> ,\u2026, A <sub>n<\/sub> } \u0648\u0627\u0644\u062a\u064a \u0644\u0627 \u062a\u0643\u0648\u0646 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a\u0647\u0627 \u0635\u0641\u0631\u064b\u0627 \u0648\u062d\u062f\u062b \u0622\u062e\u0631 B \u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0631\u0628\u0637 \u0627\u0644\u0634\u0631\u0637\u064a\u0629 \u0631\u064a\u0627\u0636\u064a\u064b\u0627 \u0627\u062d\u062a\u0645\u0627\u0644 A <sub>i<\/sub> \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0627\u0644\u062d\u062f\u062b B \u0645\u0639 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0645\u0634\u0631\u0648\u0637 \u0644\u0640 B \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 A <sub>i<\/sub> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627\u060c \u0641\u0625\u0646 <strong>\u0635\u064a\u063a\u0629 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632<\/strong> \u060c \u0627\u0644\u0645\u0639\u0631\u0648\u0641\u0629 \u0623\u064a\u0636\u064b\u0627 \u0628\u0627\u0633\u0645 <strong>\u0642\u0627\u0639\u062f\u0629 \u0628\u0627\u064a\u0632<\/strong> \u060c \u0647\u064a: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/theoreme-de-bayes.png\" alt=\"\u0635\u064a\u063a\u0629 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632\u060c \u0642\u0627\u0639\u062f\u0629 \u0628\u0627\u064a\u0632\" class=\"wp-image-8514\" width=\"370\" height=\"318\" srcset=\"\" sizes=\"\"><\/figure>\n<p style=\"margin-bottom:7px;text-align:right;direction:rtl\"> \u0630\u0647\u0628:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\"margin-bottom:8px;text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-62ffcdb184381914ec23155ad31bbfb0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A_i|B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0647\u0648 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0634\u0631\u0637\u064a \u0644\u0644\u062d\u062f\u062b A <sub>\u0641\u064a<\/sub> \u0636\u0648\u0621 \u0627\u0644\u062d\u062f\u062b B\u060c \u0648\u064a\u0633\u0645\u0649 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062e\u0644\u0641\u064a.<\/li>\n<li style=\"margin-bottom:8px;text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-676b61239ea67554603513360fbea72b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(B|A_i)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0647\u0648 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0634\u0631\u0637\u064a \u0644\u0644\u062d\u062f\u062b B \u0646\u0638\u0631\u0627 \u0644\u0644\u062d\u062f\u062b A <sub>i<\/sub> .<\/li>\n<li style=\"margin-bottom:8px;text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-be31252343b496b792bee3e55a99979f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A_i)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"46\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u0642\u0648\u0639 \u0627\u0644\u062d\u062f\u062b A <sub>i<\/sub> \u060c \u0648\u064a\u0633\u0645\u0649 \u0628\u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0642\u0628\u0644\u064a.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0627\u062d\u0638 \u0623\u0646 \u0645\u0642\u0627\u0645 \u0635\u064a\u063a\u0629 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632 \u0647\u0648 <a href=\"https:\/\/statorials.org\/ar\/\u0646\u0638\u0631\u064a\u0629-\u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629-\u0627\u0644\u0643\u0644\u064a\u0629\/\">\u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0625\u062c\u0645\u0627\u0644\u064a<\/a> \u0644\u0644\u062d\u062f\u062b B. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-del-teorema-de-bayes\"><\/span> \u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0631\u0649 \u062a\u0639\u0631\u064a\u0641 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632 \u0648\u0645\u0627 \u0647\u064a \u0635\u064a\u063a\u062a\u0647\u0627\u060c \u0633\u0646\u0631\u0649 \u0645\u062b\u0627\u0644\u064b\u0627 \u0645\u062d\u0644\u0648\u0644\u0627\u064b \u0644\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632 \u0644\u0641\u0647\u0645 \u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0628\u0634\u0643\u0644 \u0623\u0641\u0636\u0644.<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u064a\u0628\u064a\u0639 \u0645\u062a\u062c\u0631 \u0625\u0644\u0643\u062a\u0631\u0648\u0646\u064a\u0627\u062a \u062b\u0644\u0627\u062b \u0639\u0644\u0627\u0645\u0627\u062a \u062a\u062c\u0627\u0631\u064a\u0629 \u0645\u0646 \u0623\u062c\u0647\u0632\u0629 \u0627\u0644\u062a\u0644\u0641\u0632\u064a\u0648\u0646: X \u0648Y \u0648Z. \u0648\u062a\u0634\u064a\u0631 \u0627\u0644\u062a\u0642\u062f\u064a\u0631\u0627\u062a \u0625\u0644\u0649 \u0623\u0646 20% \u0645\u0646 \u0627\u0644\u0645\u0628\u064a\u0639\u0627\u062a \u0639\u0628\u0627\u0631\u0629 \u0639\u0646 \u0623\u062c\u0647\u0632\u0629 \u062a\u0644\u0641\u0632\u064a\u0648\u0646 \u0630\u0627\u062a \u0639\u0644\u0627\u0645\u0629 \u062a\u062c\u0627\u0631\u064a\u0629 \u0645\u0639\u064a\u0628\u0629\u060c \u06483% \u0645\u0646 \u0623\u062c\u0647\u0632\u0629 \u062a\u0644\u0641\u0632\u064a\u0648\u0646 \u0630\u0627\u062a \u0639\u0644\u0627\u0645\u0629 \u062a\u062c\u0627\u0631\u064a\u0629 Y \u0645\u0639\u064a\u0628\u0629\u060c \u06484% \u0645\u0646 \u0623\u062c\u0647\u0632\u0629 \u062a\u0644\u0641\u0632\u064a\u0648\u0646 \u0630\u0627\u062a \u0639\u0644\u0627\u0645\u0629 \u062a\u062c\u0627\u0631\u064a\u0629 Z \u0645\u0639\u064a\u0628\u0629. \u0646\u0638\u0631\u064b\u0627 \u0644\u0648\u062c\u0648\u062f \u062a\u0644\u0641\u0632\u064a\u0648\u0646 \u0645\u0639\u064a\u0628\u060c \u0645\u0627 \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u064a\u0643\u0648\u0646 \u062a\u0644\u0641\u0632\u064a\u0648\u0646\u064b\u0627 \u0645\u0646 \u0627\u0644\u0639\u0644\u0627\u0645\u0629 \u0627\u0644\u062a\u062c\u0627\u0631\u064a\u0629 Z\u061f<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0639\u0637\u064a\u0646\u0627 \u0627\u0644\u062a\u0645\u0631\u064a\u0646 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0642\u064a\u0627\u0645 \u0627\u0644\u0639\u0645\u064a\u0644 \u0628\u0634\u0631\u0627\u0621 \u0643\u0644 \u0639\u0644\u0627\u0645\u0629 \u062a\u062c\u0627\u0631\u064a\u0629 \u0645\u0646 \u0623\u062c\u0647\u0632\u0629 \u0627\u0644\u062a\u0644\u0641\u0632\u064a\u0648\u0646:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062d\u062f\u062b \u0623 <sub>1<\/sub> : \u064a\u0634\u062a\u0631\u064a \u0627\u0644\u0639\u0645\u064a\u0644 \u062a\u0644\u0641\u0632\u064a\u0648\u0646\u064b\u0627 \u0645\u0646 \u0627\u0644\u0639\u0644\u0627\u0645\u0629 \u0627\u0644\u062a\u062c\u0627\u0631\u064a\u0629 X \u2192 P(A <sub>1<\/sub> )=0.20<\/li>\n<li style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062d\u062f\u062b \u0623 <sub>2<\/sub> : \u064a\u0634\u062a\u0631\u064a \u0627\u0644\u0639\u0645\u064a\u0644 \u062a\u0644\u0641\u0632\u064a\u0648\u0646\u064b\u0627 \u0645\u0627\u0631\u0643\u0629 Y \u2192 P(A <sub>2<\/sub> )=0.50<\/li>\n<li style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062d\u062f\u062b \u0623 <sub>3<\/sub> : \u064a\u0634\u062a\u0631\u064a \u0627\u0644\u0639\u0645\u064a\u0644 \u062a\u0644\u0641\u0632\u064a\u0648\u0646 Z \u0645\u0646 \u0627\u0644\u0639\u0644\u0627\u0645\u0629 \u0627\u0644\u062a\u062c\u0627\u0631\u064a\u0629 \u2192 P(A <sub>3<\/sub> )=0.30<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u062a\u0639\u0637\u064a\u0646\u0627 \u0627\u0644\u0642\u0631\u0627\u0621\u0629 \u0623\u064a\u0636\u064b\u0627 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0648\u062c\u0648\u062f \u0639\u064a\u0628 \u0641\u064a \u062c\u0647\u0627\u0632 \u062a\u0644\u0641\u0632\u064a\u0648\u0646 \u0645\u0646 \u0643\u0644 \u0639\u0644\u0627\u0645\u0629 \u062a\u062c\u0627\u0631\u064a\u0629:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062d\u062f\u062b \u0628: \u0627\u0644\u062a\u0644\u0641\u0632\u064a\u0648\u0646 \u0645\u0639\u064a\u0628<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> B|A <sub>1<\/sub> : \u0646\u0638\u0631\u064b\u0627 \u0644\u0639\u0644\u0627\u0645\u0629 \u062a\u062c\u0627\u0631\u064a\u0629 X \u0644\u0644\u062a\u0644\u0641\u0632\u064a\u0648\u0646\u060c \u0641\u0625\u0646 \u0627\u0644\u062a\u0644\u064a\u0641\u0632\u064a\u0648\u0646 \u0645\u0639\u064a\u0628 \u2192 P(B|A <sub>1<\/sub> )=0.05<\/li>\n<li style=\";text-align:right;direction:rtl\"> B|A <sub>2<\/sub> : \u0646\u0638\u0631\u064b\u0627 \u0644\u0639\u0644\u0627\u0645\u0629 \u062a\u062c\u0627\u0631\u064a\u0629 Y \u0644\u0644\u062a\u0644\u0641\u0632\u064a\u0648\u0646\u060c \u0641\u0625\u0646 \u0627\u0644\u062a\u0644\u064a\u0641\u0632\u064a\u0648\u0646 \u0645\u0639\u064a\u0628 \u2192 P(B|A <sub>2<\/sub> )=0.03<\/li>\n<li style=\";text-align:right;direction:rtl\"> B|A <sub>3<\/sub> : \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u062a\u0644\u0641\u0632\u064a\u0648\u0646 \u0645\u0646 \u0627\u0644\u0639\u0644\u0627\u0645\u0629 \u0627\u0644\u062a\u062c\u0627\u0631\u064a\u0629 Z\u060c \u064a\u0643\u0648\u0646 \u0627\u0644\u062a\u0644\u0641\u0632\u064a\u0648\u0646 \u0645\u0639\u064a\u0628\u064b\u0627 \u2192 P(B|A <sub>3<\/sub> )=0.04<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627 \u0641\u0625\u0646 <a href=\"https:\/\/statorials.org\/ar\/\u0645\u062e\u0637\u0637-\u0627\u0644\u0634\u062c\u0631\u0629\/\">\u0634\u062c\u0631\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a<\/a> \u0644\u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u062d\u062f\u0627\u062b \u0627\u0644\u062a\u064a \u062a\u0647\u0645\u0646\u0627 \u0647\u064a \u0643\u0645\u0627 \u064a\u0644\u064a: <\/p>\n<figure class=\"wp-block-image aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"370\" height=\"257\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/theoreme-de-probabilite-de-bayes.png\" alt=\"\u0645\u062e\u0637\u0637 \u0634\u062c\u0631\u0629 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632\" class=\"wp-image-8525\" srcset=\"\" sizes=\"\"><\/figure>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627\u060c \u0644\u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u0639\u0644\u0627\u0645\u0629 \u0627\u0644\u062a\u062c\u0627\u0631\u064a\u0629 Z\u060c \u0641\u064a \u062d\u0627\u0644\u0629 \u0648\u062c\u0648\u062f \u062a\u0644\u0641\u0632\u064a\u0648\u0646 \u0645\u0639\u064a\u0628\u060c \u064a\u062c\u0628 \u0623\u0646 \u0646\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0645\u0646 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c15e369635dcf17952b5d832a818d535_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A_i|B)=\\cfrac{P(B|A_i)\\cdot P(A_i)}{\\displaystyle \\sum_{k=1}^n P(B|A_k)\\cdot P(A_k)}\" title=\"Rendered by QuickLaTeX.com\" height=\"77\" width=\"251\" style=\"vertical-align: -49px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u0635\u0637\u0644\u062d\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u0629 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u062a\u0628\u062f\u0648 \u0635\u064a\u063a\u0629 \u0628\u0627\u064a\u0632 \u0643\u0645\u0627 \u064a\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7c2b74ac3ed5173c4a40837675d8282d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A_3|B)=\\cfrac{P(B|A_3)\\cdot P(A_3)}{P(B|A_1)\\cdot P(A_1)+P(B|A_2)\\cdot P(A_2)+ P(B|A_3)\\cdot P(A_3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"525\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u064a\u0643\u0648\u0646 \u062a\u0644\u0641\u0632\u064a\u0648\u0646 \u0645\u0639\u064a\u0628 \u0645\u0639\u064a\u0646 \u0647\u0648 \u0627\u0644\u0639\u0644\u0627\u0645\u0629 \u0627\u0644\u062a\u062c\u0627\u0631\u064a\u0629 Z \u0647\u0648 \u0643\u0645\u0627 \u064a\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-818d0f3336f855a1315d6a94f01d1876_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P(A_3|B)&amp;=\\cfrac{P(B|A_3)\\cdot P(A_3)}{P(B|A_1)\\cdot P(A_1)+P(B|A_2)\\cdot P(A_2)+ P(B|A_3)\\cdot P(A_3)}\\\\[2ex]&amp;=\\cfrac{0,04\\cdot 0,30}{0,05\\cdot 0,20+0,03\\cdot 0,50+0,04\\cdot 0,30}\\\\[2ex]&amp;=0,32\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"151\" width=\"525\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u062e\u062a\u0627\u0645\u060c \u0641\u0625\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0627\u0644\u062a\u0644\u0641\u0632\u064a\u0648\u0646 \u0645\u0639\u064a\u0628\u064b\u0627\u060c \u0641\u0647\u0648 \u0639\u0644\u0627\u0645\u0629 \u062a\u062c\u0627\u0631\u064a\u0629 Z \u0647\u0648 32%. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"aplicaciones-del-teorema-de-bayes\"><\/span> \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0647\u0646\u0627\u0643 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0644\u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632\u060c \u0628\u0645\u0627 \u0641\u064a \u0630\u0644\u0643:<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u0627\u062a \u0627\u0644\u0637\u0628\u064a\u0629<\/strong> : \u062a\u064f\u0633\u062a\u062e\u062f\u0645 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632 \u0628\u0634\u0643\u0644 \u0645\u062a\u0643\u0631\u0631 \u0641\u064a \u0627\u0644\u0637\u0628 \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u062c\u062a\u064a\u0627\u0632 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u0627\u062a \u0627\u0644\u062a\u0634\u062e\u064a\u0635\u064a\u0629. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0641\u064a \u062d\u0627\u0644\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0641\u064a\u0631\u0648\u0633 \u0646\u0642\u0635 \u0627\u0644\u0645\u0646\u0627\u0639\u0629 \u0627\u0644\u0628\u0634\u0631\u064a\u0629\u060c \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0644\u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644 \u0625\u0635\u0627\u0628\u0629 \u0627\u0644\u0634\u062e\u0635 \u0628\u0627\u0644\u0641\u064a\u0631\u0648\u0633 \u0628\u0627\u0644\u0641\u0639\u0644 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0625\u064a\u062c\u0627\u0628\u064a\u0629.<\/span><\/li>\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0645\u0627\u0644\u064a<\/strong> : \u0641\u064a \u0645\u062c\u0627\u0644 \u0627\u0644\u062a\u0645\u0648\u064a\u0644\u060c \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632 \u0644\u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644 \u062d\u062f\u0648\u062b \u0623\u062d\u062f\u0627\u062b \u0627\u0642\u062a\u0635\u0627\u062f\u064a\u0629 \u0645\u0639\u064a\u0646\u0629\u060c \u0645\u062b\u0644 \u0627\u0644\u0632\u064a\u0627\u062f\u0629 \u0623\u0648 \u0627\u0644\u0646\u0642\u0635\u0627\u0646 \u0641\u064a \u0642\u064a\u0645\u0629 \u0627\u0644\u0623\u0633\u0647\u0645\u060c \u0641\u064a \u0636\u0648\u0621 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u0627\u0642\u062a\u0635\u0627\u062f\u064a\u0629.<\/span><\/li>\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0623\u0628\u062d\u0627\u062b \u0627\u0644\u0633\u0648\u0642<\/strong> : \u062a\u062a\u064a\u062d \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632 \u0625\u0645\u0643\u0627\u0646\u064a\u0629 \u062a\u062d\u062f\u064a\u062f\u060c \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0642\u064a\u0627\u0645 \u0627\u0644\u0634\u062e\u0635 \u0628\u0634\u0631\u0627\u0621 \u0645\u0646\u062a\u062c \u0645\u0627 \u0628\u0639\u062f \u0631\u0624\u064a\u0629 \u0625\u0639\u0644\u0627\u0646 \u0644\u0647\u0630\u0627 \u0627\u0644\u0645\u0646\u062a\u062c.<\/span><\/li>\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0627\u0644\u062a\u0646\u0628\u0624 \u0628\u0627\u0644\u0637\u0642\u0633<\/strong> : \u062a\u0633\u062a\u062e\u062f\u0645 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0637\u0642\u0633 \u0623\u064a\u0636\u064b\u0627 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632 \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u062a\u062d\u0642\u0642 \u062a\u0646\u0628\u0624\u0627\u062a \u062c\u0648\u064a\u0629 \u0645\u0639\u064a\u0646\u0629 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u0631\u0635\u0648\u062f\u0629. \u0648\u0647\u0630\u0627 \u064a\u062d\u0633\u0646 \u062f\u0642\u0629 \u0627\u0644\u062a\u0646\u0628\u0624\u0627\u062a \u0627\u0644\u0645\u0646\u0627\u062e\u064a\u0629.<\/span><\/li>\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0623\u0645\u0646 \u0627\u0644\u0643\u0645\u0628\u064a\u0648\u062a\u0631<\/strong> &#8211; \u0641\u064a \u0627\u0644\u0623\u0645\u0646 \u0627\u0644\u0633\u064a\u0628\u0631\u0627\u0646\u064a\u060c \u064a\u0645\u0643\u0646 \u062a\u0637\u0628\u064a\u0642 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632 \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0627\u0644\u0646\u0634\u0627\u0637 \u0627\u0644\u0645\u0634\u0628\u0648\u0647 \u0647\u062c\u0648\u0645\u064b\u0627 \u062d\u0642\u064a\u0642\u064a\u064b\u0627 \u0639\u0644\u0649 \u0646\u0638\u0627\u0645 \u0627\u0644\u0643\u0645\u0628\u064a\u0648\u062a\u0631.<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-del-teorema-de-bayes\"><\/span> \u062d\u0644 \u0645\u0634\u0627\u0643\u0644 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u062a\u0634\u064a\u0631 \u0627\u0644\u062a\u0642\u062f\u064a\u0631\u0627\u062a \u0625\u0644\u0649 \u0623\u0646 1% \u0645\u0646 \u0627\u0644\u0633\u0643\u0627\u0646 \u064a\u0639\u0627\u0646\u0648\u0646 \u0645\u0646 \u0628\u0639\u0636 \u0627\u0644\u0623\u0645\u0631\u0627\u0636. \u0648\u062a\u0628\u0644\u063a \u062f\u0642\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0643\u0634\u0641 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u0645\u0631\u0636 95% \u0644\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0625\u064a\u062c\u0627\u0628\u064a\u0629 \u064890% \u0644\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0633\u0644\u0628\u064a\u0629. \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0646\u062a\u064a\u062c\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0634\u062e\u0635 \u062a\u0645 \u0627\u062e\u062a\u064a\u0627\u0631\u0647 \u0639\u0634\u0648\u0627\u0626\u064a\u064b\u0627 \u0625\u064a\u062c\u0627\u0628\u064a\u0629\u060c \u0641\u0645\u0627 \u0647\u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0625\u0635\u0627\u0628\u062a\u0647 \u0628\u0627\u0644\u0645\u0631\u0636 \u0628\u0627\u0644\u0641\u0639\u0644\u061f <\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#FFF8E1\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u064a\u0627\u0646 \u0627\u0644\u062a\u0645\u0631\u064a\u0646 \u064a\u0639\u0637\u064a\u0646\u0627 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> \u062c <sub>1<\/sub> : \u0627\u0644\u0634\u062e\u0635 \u0645\u0635\u0627\u0628 \u0628\u0627\u0644\u0645\u0631\u0636 \u2192 P( <sub>A1<\/sub> )=0.01<br \/> \u062c <sub>2<\/sub> : \u0627\u0644\u0634\u062e\u0635 \u063a\u064a\u0631 \u0645\u0635\u0627\u0628 \u0628\u0627\u0644\u0645\u0631\u0636 \u2192 P( <sub>A2<\/sub> )=0.99<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> \u0628: \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0625\u064a\u062c\u0627\u0628\u064a<br \/> B|A <sub>1<\/sub> : \u064a\u0643\u0648\u0646 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0625\u064a\u062c\u0627\u0628\u064a\u064b\u0627 \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \u0627\u0644\u0634\u062e\u0635 \u0645\u0635\u0627\u0628\u064b\u0627 \u0628\u0627\u0644\u0645\u0631\u0636 \u2192 P(B|A <sub>1<\/sub> )=0.95<br \/> B|A <sub>2<\/sub> : \u064a\u0643\u0648\u0646 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0625\u064a\u062c\u0627\u0628\u064a\u064b\u0627 \u0639\u0646\u062f\u0645\u0627 \u0644\u0627 \u064a\u0643\u0648\u0646 \u0627\u0644\u0634\u062e\u0635 \u0645\u0635\u0627\u0628\u064b\u0627 \u0628\u0627\u0644\u0645\u0631\u0636 \u2192 P(B|A <sub>2<\/sub> )=1-0.90=0.10<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062b\u0645\u060c \u0644\u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0627\u0644\u0634\u062e\u0635 \u0627\u0644\u0630\u064a \u062a\u0645 \u0627\u062e\u062a\u064a\u0627\u0631\u0647 \u0639\u0634\u0648\u0627\u0626\u064a\u064b\u0627 \u0645\u0635\u0627\u0628\u064b\u0627 \u0628\u0627\u0644\u0645\u0631\u0636 \u0628\u0627\u0644\u0641\u0639\u0644 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0646\u062a\u064a\u062c\u0629 \u0627\u062e\u062a\u0628\u0627\u0631\u0647 \u0625\u064a\u062c\u0627\u0628\u064a\u0629\u060c \u064a\u062c\u0628 \u062a\u0637\u0628\u064a\u0642 \u0642\u0627\u0639\u062f\u0629 \u0628\u0627\u064a\u0632: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c15e369635dcf17952b5d832a818d535_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A_i|B)=\\cfrac{P(B|A_i)\\cdot P(A_i)}{\\displaystyle \\sum_{k=1}^n P(B|A_k)\\cdot P(A_k)}\" title=\"Rendered by QuickLaTeX.com\" height=\"77\" width=\"251\" style=\"vertical-align: -49px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d76df126cb6076aeba65aa7d1c12e344_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A_1|B)=\\cfrac{P(B|A_1)\\cdot P(A_1)}{P(B|A_1)\\cdot P(A_1)+P(B|A_2)\\cdot P(A_2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"374\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643 \u0646\u0642\u0648\u0645 \u0628\u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u0627\u0644\u0642\u064a\u0645 \u0641\u064a \u0627\u0644\u0635\u064a\u063a\u0629 \u0648\u0625\u062c\u0631\u0627\u0621 \u062d\u0633\u0627\u0628 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-135e9ab7de6b44e7392fae0f5e70a125_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P(A_1|B)&amp;=\\cfrac{P(B|A_1)\\cdot P(A_1)}{P(B|A_1)\\cdot P(A_1)+P(B|A_2)\\cdot P(A_2)}\\\\[2ex]&amp;=\\cfrac{0,95\\cdot 0,01}{0,95\\cdot 0,01+0,10\\cdot 0,99}\\\\[2ex]&amp;=0,0876\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"151\" width=\"374\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0641\u0625\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0646\u062a\u064a\u062c\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0634\u062e\u0635 \u0627\u0644\u0630\u064a \u062a\u0645 \u0627\u062e\u062a\u064a\u0627\u0631\u0647 \u0639\u0634\u0648\u0627\u0626\u064a\u064b\u0627 \u0625\u064a\u062c\u0627\u0628\u064a\u0629 \u0648\u0623\u0646 \u064a\u0643\u0648\u0646 \u0645\u0635\u0627\u0628\u064b\u0627 \u0628\u0627\u0644\u0645\u0631\u0636 \u0628\u0627\u0644\u0641\u0639\u0644 \u0647\u064a 8.76%.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u062a\u0645\u0631\u064a\u0646 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0634\u064a\u0631 \u0627\u0644\u062a\u0642\u062f\u064a\u0631\u0627\u062a \u0625\u0644\u0649 \u0623\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0631\u062a\u0641\u0627\u0639 \u0627\u0644\u0633\u0647\u0645 \u0641\u064a \u064a\u0648\u0645 \u0648\u0627\u062d\u062f \u0647\u0648 40%\u060c \u0648\u0627\u062d\u062a\u0645\u0627\u0644 \u0628\u0642\u0627\u0626\u0647 \u0645\u0633\u062a\u0642\u0631\u064b\u0627 \u0647\u0648 10%\u060c \u0648\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0646\u062e\u0641\u0627\u0636\u0647 \u0647\u0648 50%. \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0646\u062d\u0646 \u0646\u0639\u0644\u0645 \u0623\u0646\u0647 \u0639\u0646\u062f\u0645\u0627 \u064a\u0631\u062a\u0641\u0639 \u0627\u0644\u0633\u0648\u0642\u060c \u0647\u0646\u0627\u0643 \u0627\u062d\u062a\u0645\u0627\u0644 \u0628\u0646\u0633\u0628\u0629 90% \u0623\u0646 \u0627\u0644\u0645\u062d\u0644\u0644 \u0627\u0644\u0645\u0627\u0644\u064a \u0633\u0648\u0641 \u064a\u062a\u0646\u0628\u0623 \u0628\u0647 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d\u060c \u0648\u0623\u0646\u0647 \u0639\u0646\u062f\u0645\u0627 \u064a\u0638\u0644 \u0627\u0644\u0633\u0648\u0642 \u0645\u0633\u062a\u0642\u0631\u0627\u064b\u060c \u0641\u0625\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0627\u0644\u062a\u0646\u0628\u0624 \u0635\u062d\u064a\u062d\u0627\u064b \u0647\u0648 75%\u060c \u0648\u0623\u0646\u0647 \u0641\u064a \u062d\u0627\u0644\u0629 \u0627\u0644\u0627\u0646\u062e\u0641\u0627\u0636\u060c \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0627\u0644\u0635\u062d\u064a\u062d \u0647\u064a 75%. 85%.%. \u0625\u0630\u0627 \u062a\u0648\u0642\u0639 \u0623\u062d\u062f \u0627\u0644\u0645\u062d\u0644\u0644\u064a\u0646 \u0623\u0646 \u0627\u0644\u0633\u0648\u0642 \u0633\u0648\u0641 \u064a\u0646\u062e\u0641\u0636\u060c \u0641\u0645\u0627 \u0645\u062f\u0649 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0633\u0642\u0648\u0637\u0647 \u0628\u0627\u0644\u0641\u0639\u0644\u061f <\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#FFF8E1\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u064a\u0648\u0641\u0631 \u0644\u0646\u0627 \u0628\u064a\u0627\u0646 \u0627\u0644\u062a\u0645\u0631\u064a\u0646 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> \u062c <sub>1<\/sub> : \u064a\u0631\u062a\u0641\u0639 \u0627\u0644\u0633\u0648\u0642 \u0641\u064a \u064a\u0648\u0645 \u0648\u0627\u062d\u062f \u2190 P(A <sub>1<\/sub> )=0.40<br \/> \u062c <sub>2<\/sub> : \u064a\u0638\u0644 \u0627\u0644\u0633\u0648\u0642 \u0645\u0633\u062a\u0642\u0631\u064b\u0627 \u0639\u0644\u0649 \u0645\u062f\u0649 \u064a\u0648\u0645 \u0648\u0627\u062d\u062f \u2190 P( <sub>A2<\/sub> )=0.10<br \/> \u062c <sub>3<\/sub> : \u064a\u0631\u062a\u0641\u0639 \u0627\u0644\u0633\u0648\u0642 \u0641\u064a \u064a\u0648\u0645 \u0648\u0627\u062d\u062f \u2190 P( <sub>A3<\/sub> )=0.50<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> \u0628: \u064a\u062a\u0648\u0642\u0639 \u0627\u0644\u0645\u062d\u0644\u0644 \u0623\u0646 \u0627\u0644\u0633\u0648\u0642 \u0633\u0648\u0641 \u064a\u0646\u062e\u0641\u0636<br \/> B|A <sub>1<\/sub> : \u062a\u0648\u0642\u0639 \u0627\u0644\u0645\u062d\u0644\u0644 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d \u0623\u0646 \u0627\u0644\u0633\u0648\u0642 \u0633\u0648\u0641 \u064a\u0631\u062a\u0641\u0639 \u2190 P(B|A <sub>1<\/sub> )=0.90<br \/> B|A <sub>2<\/sub> : \u062a\u0648\u0642\u0639 \u0627\u0644\u0645\u062d\u0644\u0644 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d \u0623\u0646 \u0627\u0644\u0633\u0648\u0642 \u0644\u0627 \u064a\u0632\u0627\u0644 \u0645\u0633\u062a\u0642\u0631\u064b\u0627 \u2192 P(B|A <sub>2<\/sub> )=0.75<br \/> B|A <sub>3<\/sub> : \u062a\u0648\u0642\u0639 \u0627\u0644\u0645\u062d\u0644\u0644 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d \u0623\u0646 \u0627\u0644\u0633\u0648\u0642 \u0633\u0648\u0641 \u064a\u0646\u062e\u0641\u0636 \u2190 P(B|A <sub>3<\/sub> )=0.85<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u062d\u062a\u0645\u0627\u0644 \u0642\u064a\u0627\u0645 \u0627\u0644\u0645\u062d\u0644\u0644 \u0628\u0627\u0644\u062a\u0646\u0628\u0624 \u0628\u0623\u0646 \u0627\u0644\u0633\u0648\u0642 \u0633\u0648\u0641 \u064a\u0646\u062e\u0641\u0636 \u0648\u0623\u0646 \u0647\u0630\u0627 \u0627\u0644\u062a\u0646\u0628\u0624 \u0635\u062d\u064a\u062d\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u064a\u063a\u0629 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c15e369635dcf17952b5d832a818d535_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A_i|B)=\\cfrac{P(B|A_i)\\cdot P(A_i)}{\\displaystyle \\sum_{k=1}^n P(B|A_k)\\cdot P(A_k)}\" title=\"Rendered by QuickLaTeX.com\" height=\"77\" width=\"251\" style=\"vertical-align: -49px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7c2b74ac3ed5173c4a40837675d8282d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A_3|B)=\\cfrac{P(B|A_3)\\cdot P(A_3)}{P(B|A_1)\\cdot P(A_1)+P(B|A_2)\\cdot P(A_2)+ P(B|A_3)\\cdot P(A_3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"525\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0633\u062a\u0628\u062f\u0644 \u0642\u064a\u0645 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0641\u064a \u0635\u064a\u063a\u0629 \u0628\u0627\u064a\u0632 \u0648\u0646\u062d\u0633\u0628 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9f98a5a8a91299aa55aab02159dcebec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P(A_3|B)&amp;=\\cfrac{P(B|A_3)\\cdot P(A_3)}{P(B|A_1)\\cdot P(A_1)+P(B|A_2)\\cdot P(A_2)+ P(B|A_3)\\cdot P(A_3)}\\\\[2ex]&amp;=\\cfrac{0,85\\cdot 0,50}{0,90\\cdot 0,40+0,75\\cdot 0,10+0,85\\cdot 0,50}\\\\[2ex]&amp;=0,4942\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"151\" width=\"525\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643 \u0641\u0625\u0646 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u062d\u0644\u0644 \u0639\u0644\u0649 \u062d\u0642 \u0639\u0646\u062f\u0645\u0627 \u064a\u0642\u0648\u0644 \u0623\u0646 \u0633\u0648\u0642 \u0627\u0644\u0623\u0633\u0647\u0645 \u0633\u0648\u0641 \u064a\u0646\u062e\u0641\u0636 \u0647\u0648 49.42%.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u062a\u0634\u0631\u062d \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0645\u0627 \u0647\u064a \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632 \u0648\u0641\u064a\u0645\u0627 \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0641\u064a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0648\u0627\u0644\u0625\u062d\u0635\u0627\u0621. \u0648\u0647\u0643\u0630\u0627 \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0645\u0627 \u0647\u064a \u0635\u064a\u063a\u0629 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632\u060c \u0648\u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629 \u0644\u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632\u060c \u0648\u0645\u0627 \u0647\u064a \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0647\u0630\u0647 \u0627\u0644\u0646\u0638\u0631\u064a\u0629. \u0645\u0627 \u0647\u064a \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632\u061f \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a\u060c \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632 \u0647\u064a \u0642\u0627\u0646\u0648\u0646 \u064a\u0633\u062a\u062e\u062f\u0645 \u0644\u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u062d\u062f\u062b \u0645\u0627 \u0639\u0646\u062f \u0645\u0639\u0631\u0641\u0629 \u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0645\u0633\u0628\u0642\u0629 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u062d\u062f\u062b. \u0648\u0628\u0634\u0643\u0644 \u0623\u0643\u062b\u0631 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632<\/title>\n<meta name=\"description\" content=\"\u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0645\u0627 \u062a\u0642\u0648\u0644\u0647 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632\u060c \u0648\u0641\u064a\u0645 \u062a\u0633\u062a\u062e\u062f\u0645\u060c \u0648\u0635\u064a\u063a\u0629 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632\u060c \u0648\u0627\u0644\u062a\u062f\u0631\u064a\u0628\u0627\u062a \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u064a\u0632.\" \/>\n<meta name=\"robots\" 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