{"id":377,"date":"2023-08-01T12:09:39","date_gmt":"2023-08-01T12:09:39","guid":{"rendered":"https:\/\/statorials.org\/my\/bayes-%e1%80%9e%e1%80%ae%e1%80%a1%e1%80%ad%e1%80%af%e1%80%9b%e1%80%ae\/"},"modified":"2023-08-01T12:09:39","modified_gmt":"2023-08-01T12:09:39","slug":"bayes-%e1%80%9e%e1%80%ae%e1%80%a1%e1%80%ad%e1%80%af%e1%80%9b%e1%80%ae","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/bayes-%e1%80%9e%e1%80%ae%e1%80%a1%e1%80%ad%e1%80%af%e1%80%9b%e1%80%ae\/","title":{"rendered":"Bayes&#39; \u101e\u102e\u1021\u102d\u102f\u101b\u102e"},"content":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\u103a Bayes&#8217; theorem \u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1021\u101b\u102c\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1014\u103e\u1004\u1037\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a Bayes \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u104f \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1019\u103e\u102c \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104a Bayes \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u104f \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1015\u103c\u102e\u1038 \u1024\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u104f \u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1015\u102f\u1036\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u1004\u103a\u101b\u103e\u102c\u1016\u103d\u1031\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-teorema-de-bayes\"><\/span> Bayes \u101b\u1032\u1037 \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1010\u103d\u1004\u103a\u104a <strong>Bayes&#8217; theorem \u101e\u100a\u103a<\/strong> \u1011\u102d\u102f\u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a\u1015\u1010\u103a\u101e\u1000\u103a\u101e\u1031\u102c \u1026\u1038\u1005\u102c\u1038\u1015\u1031\u1038\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u102d\u101e\u1031\u102c\u1021\u1001\u102b \u1016\u103c\u1005\u103a\u101b\u1015\u103a\u1010\u1005\u103a\u1001\u102f\u104f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1025\u1015\u1012\u1031\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> \u1015\u102d\u102f\u104d\u1010\u102d\u1000\u103b\u101e\u100a\u103a\u1019\u103e\u102c\u104a Bayes \u104f \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u101e\u100a\u103a \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a A \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u100a\u1037\u103a \u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a B \u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f B \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c A \u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u100a\u103a\u104b<\/p>\n<p> \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u101c\u1030\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u1010\u102f\u1015\u103a\u1000\u103d\u1031\u1038\u1019\u102d\u1015\u102b\u1000 \u1001\u1031\u102b\u1004\u103a\u1038\u1000\u102d\u102f\u1000\u103a\u1019\u100a\u1037\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u101e\u102d\u1015\u102b\u1000\u104a \u101c\u1030\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u1001\u1031\u102b\u1004\u103a\u1038\u1000\u102d\u102f\u1000\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u102b \u1010\u102f\u1015\u103a\u1000\u103d\u1031\u1038\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a Bayes&#8217; theorem \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> Bayes \u104f\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1010\u103d\u1004\u103a \u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1015\u101b\u102d\u102f\u1002\u101b\u1019\u103a\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1015\u102b\u101b\u103e\u102d\u1015\u102b\u101e\u100a\u103a\u104a \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1006\u1031\u1038\u1015\u100a\u102c\u104a \u1018\u1031\u102c\u1002\u1017\u1031\u1012 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1014\u100a\u103a\u1038\u1015\u100a\u102c\u1010\u103d\u1004\u103a \u1021\u1001\u103c\u102c\u1038\u1016\u103c\u1005\u103a\u101b\u1015\u103a\u1019\u103b\u102c\u1038\u1000 \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c\u1016\u103c\u1005\u103a\u101b\u1015\u103a\u1019\u103b\u102c\u1038\u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a\u104a Bayes&#8217; theorem \u104f \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1021\u101e\u1031\u1038\u1005\u102d\u1010\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1019\u100a\u103a\u104b<\/p>\n<p> Bayes \u104f\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1000\u102d\u102f \u1021\u1004\u103a\u1039\u1002\u101c\u102d\u1015\u103a\u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1015\u100a\u102c\u101b\u103e\u1004\u103a Thomas Bayes (1702-1761) \u1019\u103e \u1010\u102e\u1011\u103d\u1004\u103a\u1001\u1032\u1037\u101e\u100a\u103a\u104a <\/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;\"> <span style=\"color:#ff951b\">\u27a4-<\/span> <a href=\"https:\/\/statorials.org\/my\/\u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1021\u101b-\u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1021\u101b-\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\/\">\u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1021\u101b \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f<\/a> <strong>\u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/strong> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-del-teorema-de-bayes\"><\/span> Bayes \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u104f\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bayes \u104f \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1000 <a href=\"https:\/\/statorials.org\/my\/\u101e\u102e\u1038\u101e\u1014\u1037\u103a\u1016\u103c\u1005\u103a\u101b\u1015\u103a\u1019\u103b\u102c\u1038\/\">\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u101e\u102e\u1038\u101e\u1014\u1037\u103a\u1016\u103c\u1005\u103a\u101b\u1015\u103a\u1019\u103b\u102c\u1038<\/a> {A <sub>1<\/sub> , A <sub>2<\/sub> ,\u2026, A <sub>i<\/sub> ,\u2026, A <sub>n<\/sub> } \u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u101e\u102f\u100a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1021\u1001\u103c\u102c\u1038\u1016\u103c\u1005\u103a\u101b\u1015\u103a\u1010\u1005\u103a\u1001\u102f B \u1000\u102d\u102f \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1014\u100a\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u101f\u102f Bayes&#8217; theorem \u1000\u1006\u102d\u102f\u101e\u100a\u103a\u104b A \u104f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101e\u100a\u103a A <sub>i<\/sub> \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c B \u104f\u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1021\u101b\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1014\u103e\u1004\u1037\u103a event B <sub>\u1000\u102d\u102f<\/sub> \u1015\u1031\u1038\u101e\u100a\u103a\u104b<\/p>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a <strong>Bayes \u104f \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1019\u103e\u102c<\/strong> <strong>Bayes&#8217; rule<\/strong> \u101f\u102f\u101c\u100a\u103a\u1038 \u1001\u1031\u102b\u103a\u101e\u100a\u103a \u104a <\/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=\"\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u104f Bayes \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u104a Bayes \u1005\u100a\u103a\u1038\u1019\u103b\u1009\u103a\u1038\" class=\"wp-image-8514\" width=\"370\" height=\"318\" srcset=\"\" sizes=\"\"><\/figure>\n<p style=\"margin-bottom:7px\"> \u101b\u103d\u103e\u1031-<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:8px\">\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> \u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a A <sub>\u1014\u103e\u1004\u1037\u103a<\/sub> \u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a B \u104f \u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1021\u101b \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u104a posterior probability \u101f\u102f\u1001\u1031\u102b\u103a\u101e\u100a\u103a\u104b<\/li>\n<li style=\"margin-bottom:8px\">\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> \u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a B \u101e\u100a\u103a \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a A <sub>i<\/sub> \u104f \u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1021\u101b \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 \u1016\u103c\u1005\u103a\u101e\u100a\u103a \u104b<\/li>\n<li style=\"margin-bottom:8px\">\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> \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101f\u102f\u1001\u1031\u102b\u103a\u101e\u1031\u102c A <sub>i<\/sub> \u101e\u100a\u103a \u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<\/ul>\n<p> Bayes \u104f \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u104f \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u1031\u101e\u100a\u103a \u1016\u103c\u1005\u103a\u101b\u1015\u103a B \u104f <a href=\"https:\/\/statorials.org\/my\/\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038-\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031-\u101e\u102e\u1021\u102d\u102f\u101b\u102e\/\">\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f<\/a> \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-teorema-de-bayes\"><\/span> Bayes \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u104f \u1025\u1015\u1019\u102c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bayes Theorem \u104f \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1001\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u104f\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u101e\u100a\u103a \u1019\u100a\u103a\u1000\u1032\u1037\u101e\u102d\u102f\u1037\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1019\u103c\u1004\u103a\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u104a \u101e\u1018\u1031\u102c\u1010\u101b\u102c\u1038\u1000\u102d\u102f \u1015\u102d\u102f\u1019\u102d\u102f\u1014\u102c\u1038\u101c\u100a\u103a\u101b\u1014\u103a Bayes Theorem \u1016\u103c\u1004\u1037\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102f\u1036\u104f \u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1015\u102f\u1036\u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1031\u1037\u101b\u1015\u102b\u1019\u100a\u103a\u104b<\/p>\n<ul>\n<li> \u1021\u102e\u101c\u1000\u103a\u1011\u101b\u103d\u1014\u103a\u1014\u1005\u103a\u1015\u1005\u1039\u1005\u100a\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u1010\u102e\u1017\u102e\u1010\u1036\u1006\u102d\u1015\u103a\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038\u101b\u1031\u102c\u1004\u103a\u1038\u1001\u103b\u101e\u100a\u103a- X\u104a Y\u104a Z\u104b \u101b\u1031\u102c\u1004\u103a\u1038\u1001\u103b\u1019\u103e\u102f\u104f 20% \u101e\u100a\u103a \u1021\u1019\u103e\u1010\u103a\u1010\u1036\u1006\u102d\u1015\u103a\u104f\u101b\u102f\u1015\u103a\u1019\u103c\u1004\u103a\u101e\u1036\u1000\u103c\u102c\u1038\u1019\u103b\u102c\u1038 \u1001\u103b\u102d\u102f\u1037\u101a\u103d\u1004\u103a\u1038\u1014\u1031\u1015\u103c\u102e\u1038 \u1021\u1019\u103e\u1010\u103a\u1010\u1036\u1006\u102d\u1015\u103a Y \u1010\u102e\u1017\u102e\u1019\u103b\u102c\u1038\u104f 3% \u1019\u103e\u102c \u1001\u103b\u103d\u1010\u103a\u101a\u103d\u1004\u103a\u1038\u1014\u1031\u1015\u103c\u102e\u1038 Z \u1021\u1019\u103e\u1010\u103a\u1010\u1036\u1006\u102d\u1015\u103a \u1010\u102e\u1017\u102e\u1019\u103b\u102c\u1038\u104f 4% \u1019\u103e\u102c \u1001\u103b\u102d\u102f\u1037\u101a\u103d\u1004\u103a\u1038\u1001\u103b\u1000\u103a\u101b\u103e\u102d\u101e\u100a\u103a\u101f\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u101e\u100a\u103a\u104b \u1001\u103b\u102d\u102f\u1037\u101a\u103d\u1004\u103a\u1038\u1014\u1031\u101e\u1031\u102c\u1010\u102e\u1017\u102e\u1010\u1005\u103a\u1001\u102f\u1021\u102c\u1038 \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a Brand Z TV \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b<\/li>\n<\/ul>\n<p> \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u101e\u100a\u103a \u101e\u102f\u1036\u1038\u1005\u103d\u1032\u101e\u1030\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u101b\u102f\u1015\u103a\u1019\u103c\u1004\u103a\u101e\u1036\u1000\u103c\u102c\u1038\u1021\u1019\u103e\u1010\u103a\u1010\u1036\u1006\u102d\u1015\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u101d\u101a\u103a\u101a\u1030\u1019\u100a\u1037\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u1038\u101e\u100a\u103a-<\/p>\n<ul>\n<li> \u1015\u103d\u1032 A <sub>1<\/sub> : \u101d\u101a\u103a\u101a\u1030\u101e\u1030\u101e\u100a\u103a \u1021\u1019\u103e\u1010\u103a\u1010\u1036\u1006\u102d\u1015\u103a X \u101b\u102f\u1015\u103a\u1019\u103c\u1004\u103a\u101e\u1036\u1000\u103c\u102c\u1038 \u2192 P(A <sub>1<\/sub> ) = 0.20 \u101d\u101a\u103a\u101a\u1030\u101e\u100a\u103a<\/li>\n<li> \u1015\u103d\u1032 A <sub>2<\/sub> : \u101d\u101a\u103a\u101a\u1030\u101e\u1030\u101e\u100a\u103a Y \u1021\u1019\u103e\u1010\u103a\u1010\u1036\u1006\u102d\u1015\u103a \u1010\u102e\u1017\u102e\u1010\u1005\u103a\u101c\u102f\u1036\u1038\u1000\u102d\u102f \u101d\u101a\u103a\u101a\u1030\u101e\u100a\u103a \u2192 P(A <sub>2<\/sub> ) = 0.50<\/li>\n<li> \u1015\u103d\u1032 A <sub>3<\/sub> \u2212 \u101d\u101a\u103a\u101a\u1030\u101e\u1030\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a Z \u1021\u1019\u103e\u1010\u103a\u1010\u1036\u1006\u102d\u1015\u103a \u101b\u102f\u1015\u103a\u1019\u103c\u1004\u103a\u101e\u1036\u1000\u103c\u102c\u1038 \u2192 P(A <sub>3<\/sub> ) = 0.30 \u101d\u101a\u103a\u101a\u1030\u101e\u100a\u103a<\/li>\n<\/ul>\n<p> \u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a\u104a \u1005\u102c\u1016\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u1019\u103e\u1010\u103a\u1010\u1036\u1006\u102d\u1015\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f \u101b\u102f\u1015\u103a\u1019\u103c\u1004\u103a\u101e\u1036\u1000\u103c\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u104f \u1001\u103b\u102d\u102f\u1037\u101a\u103d\u1004\u103a\u1038\u1001\u103b\u1000\u103a\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103b\u1031\u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u1015\u1031\u1038\u101e\u100a\u103a-<\/p>\n<p class=\"has-text-align-center\"> Event B- \u1010\u102e\u1017\u102e\u1000 \u1015\u103b\u1000\u103a\u1014\u1031\u1010\u101a\u103a\u104b<\/p>\n<ul>\n<li> B|A <sub>1<\/sub> : \u1021\u1019\u103e\u1010\u103a\u1010\u1036\u1006\u102d\u1015\u103a X \u101b\u102f\u1015\u103a\u1019\u103c\u1004\u103a\u101e\u1036\u1000\u103c\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u100a\u1037\u103a \u101b\u102f\u1015\u103a\u1019\u103c\u1004\u103a\u101e\u1036\u1000\u103c\u102c\u1038\u101e\u100a\u103a \u1001\u103b\u103d\u1010\u103a\u101a\u103d\u1004\u103a\u1038\u1014\u1031\u101e\u100a\u103a \u2192 P(B|A <sub>1<\/sub> )=0.05<\/li>\n<li> B|A <sub>2<\/sub> \u2212 \u1021\u1019\u103e\u1010\u103a\u1010\u1036\u1006\u102d\u1015\u103a Y \u101b\u102f\u1015\u103a\u1019\u103c\u1004\u103a\u101e\u1036\u1000\u103c\u102c\u1038\u1021\u102c\u1038 \u1015\u1031\u1038\u1021\u1015\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u101b\u102f\u1015\u103a\u1019\u103c\u1004\u103a\u101e\u1036\u1000\u103c\u102c\u1038\u101e\u100a\u103a \u1001\u103b\u102d\u102f\u1037\u101a\u103d\u1004\u103a\u1038\u1001\u103b\u1000\u103a \u2192 P(B|A <sub>2<\/sub> )=0.03<\/li>\n<li> B|A <sub>3<\/sub> \u2212 \u1021\u1019\u103e\u1010\u103a\u1010\u1036\u1006\u102d\u1015\u103a Z \u101b\u102f\u1015\u103a\u1019\u103c\u1004\u103a\u101e\u1036\u1000\u103c\u102c\u1038\u1021\u102c\u1038 \u1015\u1031\u1038\u1021\u1015\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u101b\u102f\u1015\u103a\u1019\u103c\u1004\u103a\u101e\u1036\u1000\u103c\u102c\u1038\u101e\u100a\u103a \u1001\u103b\u102d\u102f\u1037\u101a\u103d\u1004\u103a\u1038\u1001\u103b\u1000\u103a \u2192 P(B|A <sub>3<\/sub> )=0.04<\/li>\n<\/ul>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1005\u102d\u1010\u103a\u101d\u1004\u103a\u1005\u102c\u1038\u101e\u100a\u1037\u103a \u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f <a href=\"https:\/\/statorials.org\/my\/\u101e\u1005\u103a\u1015\u1004\u103a\u1015\u102f\u1036\/\">\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101e\u1005\u103a\u1015\u1004\u103a\u1019\u103e\u102c<\/a> \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b <\/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=\"Bayes \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u101e\u1005\u103a\u1015\u1004\u103a\u1019\u103b\u1009\u103a\u1038\" class=\"wp-image-8525\" srcset=\"\" sizes=\"\"><\/figure>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1001\u103b\u102d\u102f\u1037\u101a\u103d\u1004\u103a\u1038\u1014\u1031\u101e\u1031\u102c \u101b\u102f\u1015\u103a\u1019\u103c\u1004\u103a\u101e\u1036\u1000\u103c\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u100a\u1037\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a Z \u1010\u1036\u1006\u102d\u1015\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a Bayes \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1019\u103e \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1015\u102b\u1019\u100a\u103a-<\/p>\n<\/p>\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> \u1024\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u1031\u102c\u101d\u1031\u102b\u101f\u102c\u101b\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a Bayes \u104f\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u101e\u100a\u103a\u1024\u1000\u1032\u1037\u101e\u102d\u102f\u1037\u1016\u103c\u1005\u103a\u101e\u100a\u103a-<\/p>\n<\/p>\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> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1001\u103b\u103d\u1010\u103a\u101a\u103d\u1004\u103a\u1038\u1014\u1031\u101e\u1031\u102c \u101b\u102f\u1015\u103a\u1019\u103c\u1004\u103a\u101e\u1036\u1000\u103c\u102c\u1038\u101e\u100a\u103a \u1021\u1019\u103e\u1010\u103a\u1010\u1036\u1006\u102d\u1015\u103a Z \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u102c\u1010\u103d\u1004\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<\/p>\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> \u1014\u102d\u1002\u102f\u1036\u1038\u1001\u103b\u102f\u1015\u103a\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u101b\u102f\u1015\u103a\u1019\u103c\u1004\u103a\u101e\u1036\u1000\u103c\u102c\u1038 \u1001\u103b\u102d\u102f\u1037\u101a\u103d\u1004\u103a\u1038\u1015\u102b\u1000\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u1019\u103e\u1010\u103a\u1010\u1036\u1006\u102d\u1015\u103a Z \u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 \u1043\u1042% \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"aplicaciones-del-teorema-de-bayes\"><\/span> Bayes&#8217; \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u104f\u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1019\u103e\u102f\u1019\u103b\u102c\u1038<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bayes \u104f \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u104f \u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1005\u103d\u102c \u1021\u1015\u102b\u1021\u101d\u1004\u103a\u104a<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u1006\u1031\u1038\u1018\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101b\u102c\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1019\u103b\u102c\u1038<\/strong> : Bayes &#8216;\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1000\u102d\u102f \u1006\u1031\u1038\u1015\u100a\u102c\u1010\u103d\u1004\u103a \u1019\u1000\u103c\u102c\u1001\u100f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u103c\u102e\u1038 \u101b\u1031\u102c\u1002\u102b\u101b\u103e\u102c\u1016\u103d\u1031\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1019\u103b\u102c\u1038 \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1001\u103c\u1004\u103a\u1038\u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104b \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a HIV \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a\u104a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101b\u101c\u1012\u103a\u101e\u100a\u103a \u1021\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1000\u1039\u1001\u100f\u102c\u1016\u103c\u1005\u103a\u1015\u102b\u1000 \u101c\u1030\u1010\u1005\u103a\u1026\u1038\u1010\u103d\u1004\u103a \u1017\u102d\u102f\u1004\u103a\u1038\u101b\u1015\u103a\u1005\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u1004\u103d\u1031\u1000\u103c\u1031\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1001\u103c\u1004\u103a\u1038<\/strong> &#8211; \u1018\u100f\u1039\u100d\u102c\u101b\u1031\u1038\u1010\u103d\u1004\u103a\u104a \u1018\u102d\u102f\u1004\u103a\u101a\u1014\u103a\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1000\u102d\u102f \u1005\u102e\u1038\u1015\u103d\u102c\u1038\u101b\u1031\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1021\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1019\u103e \u1015\u1031\u1038\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u1037\u103a \u1005\u1010\u1031\u102c\u1037\u1010\u1014\u103a\u1016\u102d\u102f\u1038 \u1010\u102d\u102f\u1038\u1001\u103c\u1004\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1000\u103b\u1006\u1004\u103a\u1038\u1001\u103c\u1004\u103a\u1038\u1000\u1032\u1037\u101e\u102d\u102f\u1037\u101e\u1031\u102c \u1005\u102e\u1038\u1015\u103d\u102c\u1038\u101b\u1031\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1016\u103c\u1005\u103a\u101b\u1015\u103a\u1021\u1001\u103b\u102d\u102f\u1037 \u1016\u103c\u1005\u103a\u1015\u1031\u102b\u103a\u101c\u102c\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a Bayes&#8217; theorem \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u1005\u103b\u1031\u1038\u1000\u103d\u1000\u103a\u101e\u102f\u1010\u1031\u101e\u1014<\/strong> : Bayes&#8217; theorem \u101e\u100a\u103a \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1024\u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1000\u103c\u1031\u102c\u103a\u1004\u103c\u102c\u1010\u1005\u103a\u1001\u102f\u1019\u103c\u1004\u103a\u1015\u103c\u102e\u1038\u1014\u1031\u102c\u1000\u103a \u101c\u1030\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u1000\u102f\u1014\u103a\u1015\u1005\u1039\u1005\u100a\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u101d\u101a\u103a\u101a\u1030\u1019\u100a\u1037\u103a\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103b\u1031\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u1019\u102d\u102f\u1038\u101c\u1031\u101d\u101e\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103c\u1004\u103a\u1038<\/strong> &#8211; \u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1011\u102c\u1038\u101e\u1031\u102c\u1012\u1031\u1010\u102c\u1021\u1015\u1031\u102b\u103a\u1021\u1001\u103c\u1031\u1001\u1036\u104d \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u100a\u1037\u103a \u1019\u102d\u102f\u1038\u101c\u1031\u101d\u101e\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1019\u102d\u102f\u1038\u101c\u1031\u101d\u101e\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a Bayes \u104f\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u101b\u102c\u101e\u102e\u1025\u1010\u102f\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u104f \u1010\u102d\u1000\u103b\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u102d\u102f\u1038\u1010\u1000\u103a\u1005\u1031\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u1000\u103d\u1014\u103a\u1015\u103c\u1030\u1010\u102c\u101c\u102f\u1036\u1001\u103c\u102f\u1036\u101b\u1031\u1038<\/strong> \u2013 \u1006\u102d\u102f\u1000\u103a\u1018\u102c\u101c\u102f\u1036\u1001\u103c\u102f\u1036\u101b\u1031\u1038\u1010\u103d\u1004\u103a \u101e\u1036\u101e\u101a\u1016\u103c\u1005\u103a\u1016\u103d\u101a\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1000\u103d\u1014\u103a\u1015\u103b\u1030\u1010\u102c\u1005\u1014\u1005\u103a\u1021\u1015\u1031\u102b\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a\u1010\u102d\u102f\u1000\u103a\u1001\u102d\u102f\u1000\u103a\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103b\u1031\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a Bayes \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-del-teorema-de-bayes\"><\/span> Bayes \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1015\u103c\u103f\u1014\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1011\u102c\u1038\u101e\u100a\u103a\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038 \u1041<\/h3>\n<p> \u101c\u1030\u1026\u1038\u101b\u1031\u104f \u1041 \u101b\u102c\u1001\u102d\u102f\u1004\u103a\u1014\u103e\u102f\u1014\u103a\u1038\u101e\u100a\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u101b\u1031\u102c\u1002\u102b\u101d\u1031\u1012\u1014\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u1036\u1005\u102c\u1038\u1014\u1031\u101b\u101e\u100a\u103a\u101f\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u101e\u100a\u103a\u104b \u1024\u101b\u1031\u102c\u1002\u102b\u1000\u102d\u102f\u101e\u102d\u101b\u103e\u102d\u101b\u1014\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1021\u1015\u103c\u102f\u101e\u1018\u1031\u102c\u1006\u1031\u102c\u1004\u103a\u101e\u1031\u102c\u101b\u1031\u102c\u1002\u102b\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a 95% \u1010\u102d\u1000\u103b\u1015\u103c\u102e\u1038 90% \u101e\u100a\u103a \u1021\u1014\u102f\u1010\u103a\u101c\u1000\u1039\u1001\u100f\u102c\u1006\u1031\u102c\u1004\u103a\u101e\u1031\u102c\u101b\u1031\u102c\u1002\u102b\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u1010\u102d\u1000\u103b\u1015\u102b\u101e\u100a\u103a\u104b \u1000\u103b\u1015\u1014\u103a\u1038\u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1011\u102c\u1038\u101e\u1031\u102c\u101c\u1030\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u1021\u1015\u103c\u102f\u101e\u1018\u1031\u102c\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u1000\u104a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u1010\u103d\u1004\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a\u101b\u1031\u102c\u1002\u102b\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 \u1019\u100a\u103a\u1019\u103b\u103e\u101b\u103e\u102d\u101e\u1014\u100a\u103a\u1038\u104b <\/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\">\n<div class=\"otfm-sp__title\"> <strong>\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f\u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u1011\u102f\u1010\u103a\u1015\u103c\u1014\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u102c\u1038 \u1021\u1031\u102c\u1000\u103a\u1015\u102b \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u1038\u101e\u100a\u103a-<\/p>\n<p class=\"has-text-align-center\"> A <sub>1<\/sub> : \u101c\u1030\u1010\u103d\u1004\u103a \u101b\u1031\u102c\u1002\u102b \u2192 P(A <sub>1<\/sub> ) = 0.01<br \/> A <sub>2<\/sub> : \u101c\u1030\u1010\u103d\u1004\u103a \u101b\u1031\u102c\u1002\u102b\u1019\u101b\u103e\u102d\u1015\u102b \u2192 P(A <sub>2<\/sub> ) = 0.99<\/p>\n<p class=\"has-text-align-center\"> B: \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1000 positive \u1015\u102b\u104b<br \/> B|A <sub>1<\/sub> : \u101c\u1030\u1010\u103d\u1004\u103a \u101b\u1031\u102c\u1002\u102b\u101b\u103e\u102d\u101e\u1031\u102c\u1021\u1001\u102b \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1019\u103e\u102c positive \u2192 P(B|A <sub>1<\/sub> )=0.95\u104a<br \/> B|A <sub>2<\/sub> : \u101c\u1030\u1010\u103d\u1004\u103a \u101b\u1031\u102c\u1002\u102b\u1019\u101b\u103e\u102d\u101e\u1031\u102c\u1021\u1001\u102b \u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u101e\u100a\u103a positive \u2192 P(B|A <sub>2<\/sub> )=1-0.90=0.10<\/p>\n<p class=\"has-text-align-left\"> \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1000\u103b\u1015\u1014\u103a\u1038\u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1011\u102c\u1038\u101e\u1031\u102c\u101c\u1030\u1010\u1005\u103a\u1026\u1038\u1010\u103d\u1004\u103a \u1021\u1015\u103c\u102f\u101e\u1018\u1031\u102c\u1006\u1031\u102c\u1004\u103a\u101e\u1031\u102c\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u103d\u1004\u103a \u101b\u1031\u102c\u1002\u102b \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u104a Bayes \u104f \u1005\u100a\u103a\u1038\u1019\u103b\u1009\u103a\u1038\u1000\u102d\u102f \u1000\u103b\u1004\u1037\u103a\u101e\u102f\u1036\u1038\u101b\u1019\u100a\u103a- <\/p>\n<\/p>\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 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\"> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1010\u103d\u1004\u103a \u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038\u1015\u103c\u102e\u1038 \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a-<\/p>\n<\/p>\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\"> \u1021\u1010\u102d\u102f\u1001\u103b\u102f\u1015\u103a\u1015\u103c\u1031\u102c\u101b\u101c\u103b\u103e\u1004\u103a \u1000\u103b\u1015\u1014\u103a\u1038\u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1011\u102c\u1038\u101e\u1031\u102c\u101c\u1030\u101e\u100a\u103a \u1021\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1000\u1039\u1001\u100f\u102c\u1006\u1031\u102c\u1004\u103a\u1015\u103c\u102e\u1038 \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a \u101b\u1031\u102c\u1002\u102b\u101b\u103e\u102d\u1014\u1031\u101e\u1031\u102c \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103e\u102c 8.76% \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038 \u1042<\/h3>\n<p> \u1010\u1005\u103a\u1014\u1031\u1037\u1010\u103d\u1004\u103a \u1005\u1010\u1031\u102c\u1037\u101b\u103e\u101a\u103a\u101a\u102c\u1010\u1005\u103a\u1001\u102f \u1010\u1000\u103a\u101c\u102c\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103e\u102c 40% \u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1010\u100a\u103a\u1004\u103c\u102d\u1019\u103a\u1014\u1031\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 10% \u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u101e\u100a\u103a 50% \u1000\u103b\u1006\u1004\u103a\u1038\u1019\u100a\u103a\u101f\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a\u104a \u1005\u103b\u1031\u1038\u1000\u103d\u1000\u103a\u1010\u1000\u103a\u101c\u102c\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u1004\u103d\u1031\u1000\u103c\u1031\u1038\u101c\u1031\u1037\u101c\u102c\u101e\u102f\u1036\u1038\u101e\u1015\u103a\u101e\u1030\u101e\u100a\u103a \u1019\u103e\u1014\u103a\u1000\u1014\u103a\u1005\u103d\u102c\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 90% \u101b\u103e\u102d\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u104a \u1005\u103b\u1031\u1038\u1000\u103d\u1000\u103a\u1010\u100a\u103a\u1004\u103c\u102d\u1019\u103a\u1014\u1031\u101e\u100a\u1037\u103a\u1021\u1001\u102b \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103e\u1014\u103a\u1000\u1014\u103a\u1019\u100a\u1037\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103e\u102c 75% \u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1000\u103b\u1006\u1004\u103a\u1038\u101e\u103d\u102c\u1038\u1015\u102b\u1000\u104a \u1019\u103e\u1014\u103a\u1000\u1014\u103a\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101e\u100a\u103a 75% \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1048\u1045%%\u104b \u1005\u103b\u1031\u1038\u1000\u103d\u1000\u103a\u1000\u103b\u1006\u1004\u103a\u1038\u1019\u100a\u103a\u101f\u102f \u1000\u103b\u103d\u1019\u103a\u1038\u1000\u103b\u1004\u103a\u101e\u1030\u1010\u1005\u103a\u1026\u1038\u1000 \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1015\u102b\u1000\u104a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a \u1000\u103b\u1006\u1004\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 \u1019\u100a\u103a\u1019\u103b\u103e\u101b\u103e\u102d\u101e\u1014\u100a\u103a\u1038\u104b <\/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\">\n<div class=\"otfm-sp__title\"> <strong>\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f\u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u1024\u1000\u102d\u1005\u1039\u1005\u1010\u103d\u1004\u103a\u104a \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u1011\u102f\u1010\u103a\u1015\u103c\u1014\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u102c\u1038 \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u1038\u101e\u100a\u103a-<\/p>\n<p class=\"has-text-align-center\"> A <sub>1<\/sub> : \u1010\u1005\u103a\u101b\u1000\u103a\u1021\u1010\u103d\u1004\u103a\u1038 \u1005\u103b\u1031\u1038\u1000\u103d\u1000\u103a\u1010\u1000\u103a\u101c\u102c\u101e\u100a\u103a \u2192 P(A <sub>1<\/sub> ) = 0.40<br \/> A <sub>2<\/sub> : \u1005\u103b\u1031\u1038\u1000\u103d\u1000\u103a\u101e\u100a\u103a \u1010\u1005\u103a\u101b\u1000\u103a\u1021\u1010\u103d\u1004\u103a\u1038 \u1010\u100a\u103a\u1004\u103c\u102d\u1019\u103a\u1014\u1031\u1006\u1032 \u2192 P(A <sub>2<\/sub> ) = 0.10<br \/> A <sub>3<\/sub> : \u1010\u1005\u103a\u101b\u1000\u103a\u1021\u1010\u103d\u1004\u103a\u1038 \u1005\u103b\u1031\u1038\u1000\u103d\u1000\u103a\u1010\u1000\u103a\u101c\u102c\u101e\u100a\u103a \u2192 P(A <sub>3<\/sub> ) = 0.50<\/p>\n<p class=\"has-text-align-center\"> B : \u1005\u103b\u1031\u1038\u1000\u103d\u1000\u103a\u1000 \u1000\u103b\u1006\u1004\u103a\u1038\u1019\u101a\u103a\u101c\u102d\u102f\u1037 \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u101a\u103a\u104b<br \/> B|A <sub>1<\/sub> : \u1005\u103b\u1031\u1038\u1000\u103d\u1000\u103a\u1010\u102d\u102f\u1038\u101c\u102c\u1019\u100a\u103a\u101f\u102f \u1019\u103e\u1014\u103a\u1000\u1014\u103a\u1005\u103d\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u100a\u103a \u2192 P(B|A <sub>1<\/sub> )=0.90<br \/> B|A <sub>2<\/sub> : \u1005\u103b\u1031\u1038\u1000\u103d\u1000\u103a\u1010\u100a\u103a\u1004\u103c\u102d\u1019\u103a\u1014\u1031\u1006\u1032\u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1006\u1014\u103a\u1038\u1005\u1005\u103a\u101e\u1030\u1019\u103e \u1019\u103e\u1014\u103a\u1000\u1014\u103a\u1005\u103d\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u100a\u103a \u2192 P(B|A <sub>2<\/sub> )=0.75<br \/> B|A <sub>3<\/sub> : \u1005\u103b\u1031\u1038\u1000\u103d\u1000\u103a\u1000\u103b\u1006\u1004\u103a\u1038\u1019\u100a\u103a\u101f\u102f \u1006\u1014\u103a\u1038\u1005\u1005\u103a\u101e\u1030 \u1019\u103e\u1014\u103a\u1000\u1014\u103a\u1005\u103d\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u100a\u103a \u2192 P(B|A <sub>3<\/sub> )=0.85<\/p>\n<p class=\"has-text-align-left\"> \u1005\u103b\u1031\u1038\u1000\u103d\u1000\u103a\u1000\u103b\u1006\u102f\u1036\u1038\u1019\u100a\u1037\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103e\u1014\u103a\u1000\u1014\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u102f\u1036\u1038\u101e\u1015\u103a\u101e\u1030\u1019\u103e \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a Bayes Theorem \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u100a\u103a- <\/p>\n<\/p>\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 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\"> \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f Bayes \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1016\u103c\u1004\u1037\u103a \u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038\u1015\u103c\u102e\u1038 \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a-<\/p>\n<\/p>\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\"> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1005\u1010\u1031\u102c\u1037\u101b\u103e\u101a\u103a\u101a\u102c\u1008\u1031\u1038\u1000\u103d\u1000\u103a \u1000\u103b\u1006\u1004\u103a\u1038\u1019\u100a\u103a\u101f\u102f \u101e\u102f\u1010\u1031\u101e\u102e\u1010\u1005\u103a\u1026\u1038\u1019\u103e \u1015\u103c\u1031\u102c\u101e\u1031\u102c\u1021\u1001\u102b \u1019\u103e\u1014\u103a\u1000\u1014\u103a\u101e\u1031\u102c\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103e\u102c 49.42% \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\u103a Bayes&#8217; theorem \u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1021\u101b\u102c\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1014\u103e\u1004\u1037\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a Bayes \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u104f \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1019\u103e\u102c \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104a Bayes \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u104f \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1015\u103c\u102e\u1038 \u1024\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u104f \u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1015\u102f\u1036\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u1004\u103a\u101b\u103e\u102c\u1016\u103d\u1031\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b Bayes \u101b\u1032\u1037 \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1010\u103d\u1004\u103a\u104a Bayes&#8217; theorem \u101e\u100a\u103a \u1011\u102d\u102f\u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a\u1015\u1010\u103a\u101e\u1000\u103a\u101e\u1031\u102c \u1026\u1038\u1005\u102c\u1038\u1015\u1031\u1038\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u102d\u101e\u1031\u102c\u1021\u1001\u102b \u1016\u103c\u1005\u103a\u101b\u1015\u103a\u1010\u1005\u103a\u1001\u102f\u104f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1025\u1015\u1012\u1031\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1015\u102d\u102f\u104d\u1010\u102d\u1000\u103b\u101e\u100a\u103a\u1019\u103e\u102c\u104a Bayes \u104f \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u101e\u100a\u103a \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a A \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u100a\u1037\u103a \u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a B \u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f B \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c A \u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Bayes&#039; \u101e\u102e\u1021\u102d\u102f\u101b\u102e<\/title>\n<meta name=\"description\" content=\"\u1024\u1010\u103d\u1004\u103a Bayes \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1000 \u1018\u102c\u1015\u103c\u1031\u102c\u101e\u101c\u1032\u104a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1018\u102c\u1021\u1010\u103d\u1000\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104a Bayes \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u104f\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1014\u103e\u1004\u1037\u103a Bayes \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u104f \u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a\u104b\" \/>\n<meta name=\"robots\" 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\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a\u104b\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/my\/bayes-\u101e\u102e\u1021\u102d\u102f\u101b\u102e\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-01T12:09:39+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/theoreme-de-bayes.png\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/my\/bayes-%e1%80%9e%e1%80%ae%e1%80%a1%e1%80%ad%e1%80%af%e1%80%9b%e1%80%ae\/\",\"url\":\"https:\/\/statorials.org\/my\/bayes-%e1%80%9e%e1%80%ae%e1%80%a1%e1%80%ad%e1%80%af%e1%80%9b%e1%80%ae\/\",\"name\":\"\u25b7 Bayes&#39; \u101e\u102e\u1021\u102d\u102f\u101b\u102e\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/my\/#website\"},\"datePublished\":\"2023-08-01T12:09:39+00:00\",\"dateModified\":\"2023-08-01T12:09:39+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/my\/#\/schema\/person\/e47470981684a202f7ed4c0cb1e10097\"},\"description\":\"\u1024\u1010\u103d\u1004\u103a Bayes \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1000 \u1018\u102c\u1015\u103c\u1031\u102c\u101e\u101c\u1032\u104a \u104e\u1004\u103a\u1038\u1000\u102d\u102f 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