{"id":365,"date":"2023-08-01T19:09:16","date_gmt":"2023-08-01T19:09:16","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e4%b9%98%e6%b3%95%e8%a7%84%e5%88%99\/"},"modified":"2023-08-01T19:09:16","modified_gmt":"2023-08-01T19:09:16","slug":"%e4%b9%98%e6%b3%95%e8%a7%84%e5%88%99","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e4%b9%98%e6%b3%95%e8%a7%84%e5%88%99\/","title":{"rendered":"\u4e58\u6cd5\u89c4\u5219"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u6982\u7387\u8bba\u4e2d\u7684\u4e58\u6cd5\u89c4\u5219\uff0c\u4e5f\u79f0\u4e3a\u4e58\u79ef\u89c4\u5219\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u627e\u5230\u4e58\u6cd5\u89c4\u5219\u7684\u516c\u5f0f\u662f\u4ec0\u4e48\u3001\u5982\u4f55\u4f7f\u7528\u4e58\u6cd5\u89c4\u5219\u8ba1\u7b97\u6982\u7387\u7684\u793a\u4f8b\uff0c\u4ee5\u53ca\u51e0\u4e2a\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\u7ec3\u4e60\u3002<\/p>\n<p>\u4e58\u6cd5\u89c4\u5219\u53d6\u51b3\u4e8e\u4e8b\u4ef6\u662f\u72ec\u7acb\u7684\u8fd8\u662f\u76f8\u5173\u7684\uff0c\u56e0\u6b64\u6211\u4eec\u5c06\u9996\u5148\u4e86\u89e3\u72ec\u7acb\u4e8b\u4ef6\u7684\u89c4\u5219\uff0c\u7136\u540e\u4e86\u89e3\u76f8\u5173\u4e8b\u4ef6\u7684\u89c4\u5219\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"regla-de-la-multiplicacion-para-eventos-independientes\"><\/span>\u72ec\u7acb\u4e8b\u4ef6\u7684\u4e58\u6cd5\u89c4\u5219<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u72ec\u7acb\u4e8b\u4ef6\u662f\u7edf\u8ba1\u5b9e\u9a8c\u7684\u7ed3\u679c\uff0c\u5176\u53d1\u751f\u6982\u7387\u5f7c\u6b64\u4e0d\u4f9d\u8d56\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u5982\u679c\u4e8b\u4ef6 A \u53d1\u751f\u7684\u6982\u7387\u4e0d\u4f9d\u8d56\u4e8e\u4e8b\u4ef6 B \u7684\u53d1\u751f\uff0c\u5219\u4e24\u4e2a\u4e8b\u4ef6 A \u548c B \u662f\u72ec\u7acb\u7684\uff0c\u53cd\u4e4b\u4ea6\u7136\u3002 <\/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><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u4e8b\u4ef6-\u72ec\u7acb\u4e8b\u4ef6\/\">\u4ec0\u4e48\u662f\u72ec\u7acb\u4e8b\u4ef6\uff1f<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-regla-de-la-multiplicacion-para-eventos-independientes\"><\/span>\u72ec\u7acb\u4e8b\u4ef6\u7684\u4e58\u6cd5\u89c4\u5219\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\">\u5f53\u4e24\u4e2a\u4e8b\u4ef6\u72ec\u7acb\u65f6\uff0c<strong>\u4e58\u6cd5\u89c4\u5219<\/strong>\u8868\u793a\u4e24\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u8054\u5408\u6982\u7387\u7b49\u4e8e\u6bcf\u4e2a\u4e8b\u4ef6\u53d1\u751f\u6982\u7387\u7684\u4e58\u79ef\u3002<\/p>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u72ec\u7acb\u4e8b\u4ef6\u7684\u4e58\u6cd5\u89c4\u5219\u7684\u516c\u5f0f\u4e3a\uff1a<\/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-593a1a131cab23d805d8324e21e6b4ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cap B)=P(A)\\cdot P(B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"193\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:7px\">\u91d1\u5b50\uff1a<\/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-816b613a4f79d4bf9cb51396a9654120_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u548c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c74288aabc0e2ca280d25d92bf1a1ec2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u8fd9\u662f\u4e24\u4e2a\u72ec\u7acb\u7684\u4e8b\u4ef6\u3002<\/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-5e28c16735c6423d27941ce417b5fb4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cap B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u4e8b\u4ef6A\u548c\u4e8b\u4ef6B\u53d1\u751f\u7684\u8054\u5408\u6982\u7387\u3002<\/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-f0e9e218bb5d81f21881e6c57e37c7a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"40\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u4e8b\u4ef6 A \u53d1\u751f\u7684\u6982\u7387\u3002<\/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-3cf84b3bfcc955798a43fce91458ff42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"41\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u4e8b\u4ef6 B \u53d1\u751f\u7684\u6982\u7387\u3002 <\/li>\n<\/ul>\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><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u8054\u5408\u6982\u7387\/\">\u4ec0\u4e48\u662f\u8054\u5408\u6982\u7387\uff1f<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-regla-de-la-multiplicacion-para-eventos-independientes\"><\/span>\u72ec\u7acb\u4e8b\u4ef6\u7684\u4e58\u6cd5\u89c4\u5219\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u4e00\u679a\u786c\u5e01\u8fde\u7eed\u629b\u4e09\u6b21\u3002\u8ba1\u7b97\u6240\u6709 3 \u6b21\u629b\u63b7\u90fd\u83b7\u5f97\u6b63\u9762\u7684\u6982\u7387\u3002<\/li>\n<\/ul>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u8981\u8ba1\u7b97\u8054\u5408\u6982\u7387\u7684\u4e8b\u4ef6\u662f\u72ec\u7acb\u7684\uff0c\u56e0\u4e3a\u62bd\u7b7e\u7684\u7ed3\u679c\u4e0d\u4f9d\u8d56\u4e8e\u524d\u4e00\u6b21\u62bd\u7b7e\u83b7\u5f97\u7684\u7ed3\u679c\u3002\u56e0\u6b64\uff0c\u8981\u786e\u5b9a\u8fde\u7eed\u83b7\u5f97\u4e09\u4e2a\u6b63\u9762\u7684\u8054\u5408\u6982\u7387\uff0c\u6211\u4eec\u9700\u8981\u4f7f\u7528\u72ec\u7acb\u4e8b\u4ef6\u7684\u4e58\u6cd5\u89c4\u5219\u516c\u5f0f\uff1a<\/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-593a1a131cab23d805d8324e21e6b4ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cap B)=P(A)\\cdot P(B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"193\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5f53\u6211\u4eec\u629b\u786c\u5e01\u65f6\uff0c\u53ea\u6709\u4e24\u79cd\u53ef\u80fd\u7684\u7ed3\u679c\uff1a\u6b63\u9762\u6216\u53cd\u9762\u3002\u56e0\u6b64\uff0c\u629b\u786c\u5e01\u65f6\u6b63\u9762\u6216\u53cd\u9762\u51fa\u73b0\u7684\u6982\u7387\u4e3a\uff1a<\/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-24700638f62e83613a39f2b566e2fb9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{cara})=\\cfrac{1}{2}=0,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"143\" style=\"vertical-align: -12px;\"><\/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-1bc45ea1827985f95c0e3199c9bc2bdc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{cruz})=\\cfrac{1}{2}=0,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"143\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u4e3a\u4e86\u6c42\u51fa\u6240\u6709 3 \u6b21\u629b\u786c\u5e01\u90fd\u51fa\u73b0\u6b63\u9762\u7684\u6982\u7387\uff0c\u6211\u4eec\u9700\u8981\u5c06\u51fa\u73b0\u6b63\u9762\u7684\u6982\u7387\u4e58\u4ee5 3\uff1a<\/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-e107223e0e6a05a2bfaaf05dcc8d33a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{cara}\\cap \\text{cara}\\cap \\text{cara})=0,5\\cdot 0,5\\cdot 0,5=0,125\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"357\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u7b80\u800c\u8a00\u4e4b\uff0c\u8fde\u7eed 3 \u6b21\u6b63\u9762\u671d\u4e0a\u7684\u6982\u7387\u4e3a 12.5%\u3002<\/p>\n<p>\u4e0b\u9762\u4f60\u5728\u6811\u5f62\u56fe\u4e2d\u7528\u6982\u7387\u8868\u793a\u4e86\u6240\u6709\u53ef\u80fd\u7684\u4e8b\u4ef6\uff0c\u8fd9\u6837\u4f60\u53ef\u4ee5\u66f4\u597d\u5730\u770b\u5230\u6211\u4eec\u83b7\u5f97\u8054\u5408\u6982\u7387\u7684\u8fc7\u7a0b\uff1a <\/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\/diagramme-arborescent-calcul-de-probabilite.png\" alt=\"\" class=\"wp-image-3135\" width=\"436\" height=\"364\" srcset=\"\" sizes=\"auto, \"><\/figure>\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><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u6811\u5f62\u56fe\/\">\u4ec0\u4e48\u662f\u6811\u5f62\u56fe\uff1f<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"regla-de-la-multiplicacion-para-eventos-dependientes\"><\/span>\u76f8\u5173\u4e8b\u4ef6\u7684\u4e58\u6cd5\u89c4\u5219<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u5df2\u7ecf\u4e86\u89e3\u4e86\u72ec\u7acb\u4e8b\u4ef6\u7684\u4e58\u6cd5\u89c4\u5219\u662f\u4ec0\u4e48\uff0c\u8ba9\u6211\u4eec\u770b\u770b\u8be5\u5b9a\u5f8b\u5bf9\u4e8e\u76f8\u5173\u4e8b\u4ef6\u6765\u8bf4\u662f\u4ec0\u4e48\u6837\u7684\uff0c\u56e0\u4e3a\u516c\u5f0f\u7565\u6709\u4e0d\u540c\u3002<\/p>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u76f8\u5173\u4e8b\u4ef6\u662f\u968f\u673a\u5b9e\u9a8c\u7684\u7ed3\u679c\uff0c\u5176\u53d1\u751f\u6982\u7387\u76f8\u4e92\u4f9d\u8d56\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5982\u679c\u4e00\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u5f71\u54cd\u53e6\u4e00\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\uff0c\u5219\u4e24\u4e2a\u4e8b\u4ef6\u662f\u76f8\u5173\u7684\u3002 <\/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><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u4e8b\u4ef6\u76f8\u5173\u4e8b\u4ef6\/\">\u4ec0\u4e48\u662f\u76f8\u5173\u4e8b\u4ef6\uff1f<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-regla-de-la-multiplicacion-para-eventos-dependientes\"><\/span>\u76f8\u5173\u4e8b\u4ef6\u7684\u4e58\u6cd5\u89c4\u5219\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\">\u5f53\u4e24\u4e2a\u4e8b\u4ef6\u76f8\u5173\u65f6\uff0c<strong>\u4e58\u6cd5\u89c4\u5219<\/strong>\u8868\u793a\u4e24\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u8054\u5408\u6982\u7387\u7b49\u4e8e\u4e00\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u4e0e\u7ed9\u5b9a\u7b2c\u4e00\u4e2a\u4e8b\u4ef6\u7684\u53e6\u4e00\u4e2a\u4e8b\u4ef6\u7684\u6761\u4ef6\u6982\u7387\u7684\u4e58\u79ef\u3002<\/p>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u76f8\u5173\u4e8b\u4ef6\u7684\u4e58\u6cd5\u89c4\u5219\u7684\u516c\u5f0f\u4e3a\uff1a<\/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-dddb39f8c7ff49e40025c3aae59044d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cap B)=P(A)\\cdot P(B|A)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"211\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:7px\">\u91d1\u5b50\uff1a <\/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-816b613a4f79d4bf9cb51396a9654120_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u548c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c74288aabc0e2ca280d25d92bf1a1ec2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u8fd9\u662f\u4e24\u4e2a\u76f8\u5173\u4e8b\u4ef6\u3002<\/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-5e28c16735c6423d27941ce417b5fb4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cap B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u4e8b\u4ef6A\u548c\u4e8b\u4ef6B\u53d1\u751f\u7684\u6982\u7387\u3002<\/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-f0e9e218bb5d81f21881e6c57e37c7a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"40\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u4e8b\u4ef6 A \u53d1\u751f\u7684\u6982\u7387\u3002<\/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-4c0c4ce70731e4b1321acc93f53679ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(B|A)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u7ed9\u5b9a\u4e8b\u4ef6 A \u65f6\u4e8b\u4ef6 B \u53d1\u751f\u7684\u6761\u4ef6\u6982\u7387\u3002 <\/li>\n<\/ul>\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><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u6761\u4ef6\u6761\u4ef6\u6982\u7387\/\">\u4ec0\u4e48\u662f\u6761\u4ef6\u6982\u7387\uff1f<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-regla-de-la-multiplicacion-para-eventos-dependientes\"><\/span>\u76f8\u5173\u4e8b\u4ef6\u7684\u4e58\u6cd5\u89c4\u5219\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u5728\u4e00\u4e2a\u7a7a\u76d2\u5b50\u91cc\uff0c\u6211\u4eec\u653e\u5165 8 \u4e2a\u84dd\u8272\u7403\u30014 \u4e2a\u6a59\u8272\u7403\u548c 2 \u4e2a\u7eff\u8272\u7403\u3002\u5982\u679c\u6211\u4eec\u5148\u62bd\u4e00\u4e2a\u7403\uff0c\u7136\u540e\u518d\u62bd\u53e6\u4e00\u4e2a\u7403\uff0c\u800c\u4e0d\u5c06\u62bd\u51fa\u7684\u7b2c\u4e00\u4e2a\u7403\u653e\u56de\u76d2\u5b50\u4e2d\uff0c\u90a3\u4e48\u7b2c\u4e00\u4e2a\u7403\u662f\u84dd\u8272\u7684\uff0c\u7b2c\u4e8c\u4e2a\u7403\u662f\u6a59\u8272\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/li>\n<\/ul>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4e8b\u4ef6\u662f\u76f8\u5173\u7684\uff0c\u56e0\u4e3a\u5728\u7b2c\u4e8c\u6b21\u62bd\u5956\u4e2d\u62ff\u8d77\u6a59\u8272\u7403\u7684\u6982\u7387\u53d6\u51b3\u4e8e\u5728\u7b2c\u4e00\u6b21\u62bd\u5956\u4e2d\u62bd\u51fa\u7684\u7403\u7684\u989c\u8272\u3002\u56e0\u6b64\uff0c\u4e3a\u4e86\u8ba1\u7b97\u8054\u5408\u6982\u7387\uff0c\u6211\u4eec\u9700\u8981\u4f7f\u7528\u76f8\u5173\u4e8b\u4ef6\u7684\u4e58\u6cd5\u89c4\u5219\u516c\u5f0f\uff1a<\/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-dddb39f8c7ff49e40025c3aae59044d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cap B)=P(A)\\cdot P(B|A)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"211\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u7b2c\u4e00\u6b21\u62bd\u5956\u4e2d\u83b7\u5f97\u84dd\u7403\u7684\u6982\u7387\u5f88\u5bb9\u6613\u786e\u5b9a\uff0c\u53ea\u9700\u5c06\u84dd\u7403\u7684\u6570\u91cf\u9664\u4ee5\u7403\u7684\u603b\u6570\u5373\u53ef\uff1a<\/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-01c2ac51c56664735750a0821834727d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{bola azul})=\\cfrac{8}{8+4+2}=\\cfrac{8}{14}=0,57\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"295\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u5728\u62ff\u8d70\u84dd\u8272\u7403\u540e\u62bd\u51fa\u6a59\u8272\u7403\u7684\u6982\u7387\u7684\u8ba1\u7b97\u65b9\u5f0f\u6709\u6240\u4e0d\u540c\uff0c\u56e0\u4e3a\u6a59\u8272\u7403\u7684\u6570\u91cf\u4e0d\u540c\uff0c\u6b64\u5916\uff0c\u73b0\u5728\u76d2\u5b50\u5185\u5c11\u4e86\u4e00\u4e2a\u7403\uff1a<\/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-a4dfda0193e549c67dabe2e6065d84f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{bola naranja}|\\text{bola azul})=\\cfrac{4}{7+4+2}=\\cfrac{4}{13}=0,31\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"397\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u9996\u5148\u7ed8\u5236\u84dd\u8272\u7403\u7136\u540e\u7ed8\u5236\u6a59\u8272\u7403\u7684\u8054\u5408\u6982\u7387\u662f\u901a\u8fc7\u5c06\u4e0a\u9762\u627e\u5230\u7684\u4e24\u4e2a\u6982\u7387\u76f8\u4e58\u6765\u8ba1\u7b97\u7684\uff1a <\/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-94896f8575aeb7e73cc056595920fedb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}P(\\text{bola azul}\\cap\\text{bola naranja})=\\\\[2ex]=P(\\text{bola azul})\\cdot P(\\text{bola naranja}|\\text{bola azul})=\\\\[2ex]=0,57\\cdot 0,31= \\\\[2ex]=0,18\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"130\" width=\"348\" style=\"vertical-align: 0px;\"><\/p>\n<\/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><strong>\u53c2\u89c1\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\">\u52a0\u6cd5\u89c4\u5219<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-regla-de-la-multiplicacion\"><\/span>\u5df2\u89e3\u51b3\u7684\u4e58\u6cd5\u89c4\u5219\u7ec3\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u4e00\u4e2a\u57ce\u9547\u53ea\u67093\u4e2a\u65e5\u6258\u4e2d\u5fc3\uff1a60%\u7684\u5b69\u5b50\u53bbA\u65e5\u6258\u4e2d\u5fc3\uff0c30%\u53bbB\u65e5\u6258\u4e2d\u5fc3\uff0c10%\u53bbC\u65e5\u6258\u4e2d\u5fc3\u3002\u6b64\u5916\uff0c\u5728\u8fd9\u4e09\u4e2a\u65e5\u6258\u4e2d\u5fc3\u4e2d\uff0c55%\u7684\u4eba\u662f\u5973\u5b69\u3002\u8ba1\u7b97\u4ee5\u4e0b\u6982\u7387\uff1a<\/p>\n<ul>\n<li>\u4ece\u65e5\u6258 B \u4e2d\u968f\u673a\u9009\u62e9\u4e00\u4e2a\u5b69\u5b50\u65f6\uff0c\u8be5\u5b69\u5b50\u662f\u5973\u5b69\u7684\u6982\u7387\u3002<\/li>\n<li>\u4ece\u4efb\u4f55\u65e5\u6258\u4e2d\u5fc3\u968f\u673a\u9009\u62e9\u4e00\u4e2a\u5b69\u5b50\u65f6\uff0c\u8be5\u5b69\u5b50\u662f\u7537\u5b69\u7684\u6982\u7387\u3002 <\/li>\n<\/ul>\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>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u5982\u679c\u6240\u6709\u65e5\u6258\u673a\u6784\u4e2d\u5973\u5b69\u7684\u6bd4\u4f8b\u4e3a 55%\uff0c\u5219\u7537\u5b69\u7684\u767e\u5206\u6bd4\u53ea\u9700\u51cf\u53bb 1 \u51cf 0.55 \u5373\u53ef\u8ba1\u7b97\uff1a<\/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-d6c48cfc81fd4e8283d9366bced38a6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{chico})=1-0,55=0,45\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"213\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u6240\u6709\u7684\u6982\u7387\uff0c\u6211\u4eec\u53ef\u4ee5\u7528\u6240\u6709\u53ef\u80fd\u6027\u7684\u6982\u7387\u521b\u5efa\u6811\uff1a <\/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\/exercice-resolu-du-diagramme-arborescent.png\" alt=\"\u6811\u7ec3\u4e60\u5df2\u89e3\u51b3\" class=\"wp-image-3140\" width=\"312\" height=\"330\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p class=\"has-text-align-left\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4e8b\u4ef6\u662f\u72ec\u7acb\u7684\uff0c\u56e0\u4e3a\u7537\u5b69\u6216\u5973\u5b69\u7684\u6982\u7387\u4e0d\u53d6\u51b3\u4e8e\u6240\u9009\u62e9\u7684\u65e5\u6258\u3002\u56e0\u6b64\uff0c\u8981\u627e\u5230\u4ece\u65e5\u6258 B \u4e2d\u968f\u673a\u9009\u62e9\u5973\u5b69\u7684\u6982\u7387\uff0c\u60a8\u9700\u8981\u5c06\u9009\u62e9\u65e5\u6258 B \u7684\u6982\u7387\u4e58\u4ee5\u9009\u62e9\u5973\u5b69\u7684\u6982\u7387\uff1a<\/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-8da69823ee95f9d3eb866b8830c69459_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{chica guarder\\'ia B})=0,30\\cdot 0,55=\\bm{0,165}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"336\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u53e6\u4e00\u65b9\u9762\uff0c\u8981\u786e\u5b9a\u5728\u4efb\u4f55\u65e5\u6258\u4e2d\u5fc3\u9009\u62e9\u7537\u5b69\u7684\u6982\u7387\uff0c\u6211\u4eec\u5fc5\u987b\u9996\u5148\u8ba1\u7b97\u6bcf\u4e2a\u65e5\u6258\u4e2d\u5fc3\u9009\u62e9\u7537\u5b69\u7684\u6982\u7387\uff0c\u7136\u540e\u5c06\u5b83\u4eec\u52a0\u5728\u4e00\u8d77\uff1a <\/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-cba123bdad65bc0ef13fe011d12c16e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{chico guarder\\'ia A})=0,6\\cdot 0,45=0,27\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"320\" style=\"vertical-align: -5px;\"><\/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-502aba9717f579b47d3aae94af910f9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{chico guarder\\'ia B})=0,30\\cdot 0,45=0,135\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"336\" style=\"vertical-align: -5px;\"><\/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-4ab8a01b04f94bda577564f835167d88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{chico guarder\\'ia C})=0,10\\cdot 0,45=0,045\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"336\" style=\"vertical-align: -5px;\"><\/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-f2e92f117cfeb16530b9f37c647fe4f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{chico guarder\\'ia A, B o C})=0,27+0,135+0,045=\\bm{0,45}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"467\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e602<\/h3>\n<p>\u7814\u7a76\u4e86\u4e00\u4e2a\u56fd\u5bb6 25 \u5bb6\u516c\u53f8\u7684\u8d22\u653f\u5e74\u5ea6\u4ee5\u53ca\u5b83\u4eec\u7684\u80a1\u4ef7\u5982\u4f55\u6839\u636e\u5f53\u5e74\u7684\u7ecf\u6d4e\u7ed3\u679c\u53d8\u5316\u3002\u60a8\u53ef\u4ee5\u5728\u4ee5\u4e0b\u5217\u8054\u8868\u4e2d\u770b\u5230\u6536\u96c6\u7684\u6570\u636e\uff1a <\/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\/exercice-de-probabilite-conditionnelle-resolu.png\" alt=\"\u6761\u4ef6\u6982\u7387\u7ec3\u4e60\u5df2\u89e3\u51b3\" class=\"wp-image-667\" width=\"344\" height=\"151\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u4e00\u5bb6\u516c\u53f8\u76c8\u5229\u540c\u65f6\u80a1\u4ef7\u4e0a\u6da8\u7684\u53ef\u80fd\u6027\u6709\u591a\u5927\uff1f <\/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>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4e8b\u4ef6\u662f\u76f8\u5173\u7684\uff0c\u56e0\u4e3a\u80a1\u7968\u4e0a\u6da8\u6216\u4e0b\u8dcc\u7684\u6982\u7387\u53d6\u51b3\u4e8e\u7ecf\u6d4e\u7ed3\u679c\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u9700\u8981\u5bf9\u76f8\u5173\u4e8b\u4ef6\u5e94\u7528\u4e58\u6cd5\u89c4\u5219\u516c\u5f0f\uff1a<\/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-4a2782612358c488cafb90c8c642eb5d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{beneficio}\\cap\\text{precio sube})}=P(\\text{beneficio})\\cdot P(\\text{precio sube}|\\text{beneficio})\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"520\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u516c\u53f8\u76c8\u5229\u7684\u6982\u7387\uff0c\u5176\u6b21\u8ba1\u7b97\u516c\u53f8\u5728\u83b7\u5f97\u7ecf\u6d4e\u5229\u6da6\u65f6\u80a1\u7968\u589e\u52a0\u7684\u6982\u7387\uff1a <\/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-fe323f1e5e9f9e0e8fc44e886a63b476_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{beneficio})=\\cfrac{14}{25}=0,56\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"197\" style=\"vertical-align: -12px;\"><\/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-9a16170cf4dd1928934f317f29631dfc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{precio sube}|\\text{beneficio})=\\cfrac{10}{14}=0,71 \" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"288\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u8ba1\u7b97\u51fa\u7684\u503c\u4ee3\u5165\u516c\u5f0f\uff0c\u8ba1\u7b97\u8054\u5408\u6982\u7387\uff1a <\/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-9ef9a2ba07b99febef46f59960dc628d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}P(\\text{beneficio}\\cap\\text{precio sube})}=\\\\[2ex]=P(\\text{beneficio})\\cdot P(\\text{precio sube}|\\text{beneficio})=\\\\[2ex]= 0,56\\cdot 0,71=\\\\[2ex] =\\bm{0,4} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"130\" width=\"332\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u6982\u7387\u8bba\u4e2d\u7684\u4e58\u6cd5\u89c4\u5219\uff0c\u4e5f\u79f0\u4e3a\u4e58\u79ef\u89c4\u5219\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u627e\u5230\u4e58\u6cd5\u89c4\u5219\u7684\u516c\u5f0f\u662f\u4ec0\u4e48\u3001\u5982\u4f55\u4f7f\u7528\u4e58\u6cd5\u89c4\u5219\u8ba1\u7b97\u6982\u7387\u7684\u793a 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