{"id":393,"date":"2023-08-01T05:30:46","date_gmt":"2023-08-01T05:30:46","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e4%ba%8b%e4%bb%b6%e4%ba%a4%e5%8f%89%e7%9a%84%e6%a6%82%e7%8e%87\/"},"modified":"2023-08-01T05:30:46","modified_gmt":"2023-08-01T05:30:46","slug":"%e4%ba%8b%e4%bb%b6%e4%ba%a4%e5%8f%89%e7%9a%84%e6%a6%82%e7%8e%87","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e4%ba%8b%e4%bb%b6%e4%ba%a4%e5%8f%89%e7%9a%84%e6%a6%82%e7%8e%87\/","title":{"rendered":"\u4e8b\u4ef6\u4ea4\u53c9\u7684\u6982\u7387"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u5982\u4f55\u8ba1\u7b97\u4e8b\u4ef6\u4ea4\u53c9\u7684\u6982\u7387\u3002\u6240\u4ee5\u4f60\u4f1a\u53d1\u73b0\u4e8b\u4ef6\u4ea4\u53c9\u6982\u7387\u7684\u516c\u5f0f\u662f\u4ec0\u4e48\uff0c\u6b64\u5916\u8fd8\u6709\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-interseccion-de-sucesos\"><\/span>\u4e8b\u4ef6\u7684\u4ea4\u96c6\u662f\u4ec0\u4e48\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u6982\u7387\u8bba\u4e2d\uff0c<strong>\u4e8b\u4ef6\u7684\u4ea4\u96c6<\/strong>\u662f\u4e8b\u4ef6\u7684\u8fd0\u7b97\uff0c\u5176\u7ed3\u679c\u7531\u8be5\u8fd0\u7b97\u7684\u6240\u6709\u4e8b\u4ef6\u5171\u6709\u7684\u57fa\u672c\u4e8b\u4ef6\u7ec4\u6210\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u4e8b\u4ef6A\u548cB\u7684\u4ea4\u96c6\u662f\u7531\u540c\u65f6\u5c5e\u4e8eA\u548cB\u7684\u6240\u6709\u4e8b\u4ef6\u5f62\u6210\u7684\u3002<\/p>\n<p>\u4e24\u4e2a\u4e8b\u4ef6\u7684\u4ea4\u96c6\u7528\u7b26\u53f7\u22c2\u8868\u793a\u3002\u56e0\u6b64\uff0c\u4e8b\u4ef6 A \u548c B \u7684\u4ea4\u96c6\u5199\u4f5c A\u22c2B\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5728\u63b7\u9ab0\u5b50\u7684\u968f\u673a\u5b9e\u9a8c\u4e2d\uff0c\u5982\u679c\u4e00\u4e2a\u4e8b\u4ef6\u662f\u63b7\u51fa\u5076\u6570 A={2, 4, 6}\uff0c\u53e6\u4e00\u4e8b\u4ef6\u662f\u63b7\u51fa\u5927\u4e8e 3 \u7684\u6570\u5b57 B={4, 5\uff0c 6 }\uff0c\u4e24\u4e2a\u4e8b\u4ef6\u7684\u4ea4\u96c6\u4e3a A\u22c2B={4, 6}\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-probabilidad-de-la-interseccion-de-sucesos\"><\/span>\u4e8b\u4ef6\u4ea4\u53c9\u6982\u7387\u7684\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u4e24\u4e2a\u4e8b\u4ef6\u76f8\u4ea4\u7684\u6982\u7387<\/strong>\u7b49\u4e8e\u4e00\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u4e58\u4ee5\u7ed9\u5b9a\u7b2c\u4e00\u4e2a\u4e8b\u4ef6\u65f6\u53e6\u4e00\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u6761\u4ef6\u6982\u7387\u3002<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u4e24\u4e2a\u4e8b\u4ef6\u76f8\u4ea4\u7684\u6982\u7387\u516c\u5f0f<\/strong>\u4e3a P(A\u22c2B)=P(A) P(B|A)=P(B) P(A|B)\u3002<\/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-acadb606c53d2237406ab492ad5c26ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cap B)=P(A)\\cdot P(B|A)=P(B)\\cdot P(A|B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"350\" 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\u4ef6 A \u548c\u4e8b\u4ef6 B \u76f8\u4ea4\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<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<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-aa17d530df1f8fd53a077cb6af545add_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A|B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u7ed9\u5b9a\u4e8b\u4ef6 B \u65f6\u4e8b\u4ef6 A \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\/\">\u6761\u4ef6\u6982\u7387\uff08\u6216\u6761\u4ef6\u6982\u7387\uff09<\/a><\/div>\n<p>\u4f46\u662f\uff0c\u5982\u679c\u4e24\u4e2a\u4e8b\u4ef6\u662f\u72ec\u7acb\u7684\uff0c\u5219\u610f\u5473\u7740\u4e00\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u4e0d\u4f9d\u8d56\u4e8e\u53e6\u4e00\u4e2a\u4e8b\u4ef6\u662f\u5426\u53d1\u751f\u3002\u56e0\u6b64\uff0c\u4e24\u4e2a\u72ec\u7acb\u4e8b\u4ef6\u76f8\u4ea4\u7684\u6982\u7387\u516c\u5f0f\u5982\u4e0b\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\u4ef6 A \u548c\u4e8b\u4ef6 B \u76f8\u4ea4\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-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\/\u4e8b\u4ef6-\u72ec\u7acb\u4e8b\u4ef6\/\">\u72ec\u7acb\u4e8b\u4ef6<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-resueltos-de-la-probabilidad-de-la-interseccion-de-sucesos\"><\/span>\u4e8b\u4ef6\u4ea4\u53c9\u6982\u7387\u7684\u771f\u5b9e\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u7ed9\u60a8\u7559\u4e0b\u4e24\u4e2a\u9010\u6b65\u89e3\u51b3\u7684\u793a\u4f8b\uff0c\u4ee5\u4fbf\u60a8\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u4e24\u4e2a\u4e8b\u4ef6\u76f8\u4ea4\u7684\u6982\u7387\u3002\u6211\u4eec\u5c06\u9996\u5148\u770b\u5230\u4e24\u4e2a\u72ec\u7acb\u4e8b\u4ef6\u7684\u4ea4\u96c6\u793a\u4f8b\uff0c\u7136\u540e\u662f\u4e24\u4e2a\u76f8\u5173\u4e8b\u4ef6\u7684\u4ea4\u96c6\u793a\u4f8b\uff0c\u56e0\u6b64\u60a8\u53ef\u4ee5\u770b\u5230\u8fd9\u4e24\u79cd\u60c5\u51b5\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"probabilidad-de-la-interseccion-de-dos-sucesos-independientes\"><\/span>\u4e24\u4e2a\u72ec\u7acb\u4e8b\u4ef6\u76f8\u4ea4\u7684\u6982\u7387<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u62bd\u7b7e\u8fde\u7eed\u8fdb\u884c3\u6b21\u3002\u6c42\u4e09\u6b21\u629b\u63b7\u90fd\u5f97\u5230\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\u6982\u7387\uff0c\u6211\u4eec\u5fc5\u987b\u4f7f\u7528\u72ec\u7acb\u4e8b\u4ef6\u7684\u4ea4\u96c6\u6982\u7387\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>\u62bd\u7b7e\u7684\u65f6\u5019\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>\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-54abe4c41545eb6e46fd1cf97f8a3253_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P(\\text{cara}\\cap \\text{cara}\\cap \\text{cara})&amp;=P(\\text{cara})\\cdot P(\\text{cara})\\cdot P(\\text{cara})\\\\[2ex]&amp;=0,5\\cdot 0,5\\cdot 0,5\\\\[2ex]&amp;=0,125\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"102\" width=\"394\" style=\"vertical-align: 0px;\"><\/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<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"probabilidad-de-la-interseccion-de-dos-sucesos-dependientes\"><\/span>\u4e24\u4e2a\u76f8\u5173\u4e8b\u4ef6\u76f8\u4ea4\u7684\u6982\u7387<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\u7b2c\u4e00\u4e2a\u62bd\u51fa\u7684\u7403\u653e\u56de\u76d2\u5b50\u91cc\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\u95ee\u9898\u8981\u6c42\u6211\u4eec\u7684\u6982\u7387\uff0c\u6211\u4eec\u5fc5\u987b\u4f7f\u7528\u76f8\u5173\u4e8b\u4ef6\u7684\u4ea4\u53c9\u6982\u7387\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\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>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u4e8b\u4ef6\u5e76\u96c6\u7684\u6982\u7387\/\">\u4e8b\u4ef6\u5e76\u96c6\u7684\u6982\u7387<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-interseccion-de-sucesos\"><\/span>\u4e8b\u4ef6\u76f8\u4ea4\u5c5e\u6027<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u6982\u7387\u8bba\u4e2d\uff0c\u4e8b\u4ef6\u7684\u4ea4\u96c6\u5177\u6709\u4ee5\u4e0b\u5c5e\u6027\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li><span style=\"color:#101010;font-weight: normal;\"><strong>\u4ea4\u6362\u6027\uff1a<\/strong>\u4ea4\u96c6\u4e8b\u4ef6\u7684\u987a\u5e8f\u4e0d\u6539\u53d8\u8fd0\u7b97\u7ed3\u679c\u3002<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bf8f77ee754a8baedd35ff8cd79fbbd1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\\cap B=B\\cap A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"118\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li><span style=\"color:#101010;font-weight: normal;\"><strong>\u5173\u8054\u6027\uff1a<\/strong>\u4e09\u4e2a\u4e8b\u4ef6\u7684\u4ea4\u96c6\u53ef\u4ee5\u6309\u4efb\u4f55\u987a\u5e8f\u8ba1\u7b97\uff0c\u56e0\u4e3a\u7ed3\u679c\u662f\u76f8\u540c\u7684\u3002<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fb1da58ec6bf1f24f459a5edf91507eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(A\\cap B)\\cap C=A\\cap (B\\cap C)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"211\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li><span style=\"color:#101010;font-weight: normal;\"><strong>\u5206\u914d\u5f8b\uff1a<\/strong>\u4e8b\u4ef6\u7684\u4ea4\u96c6\u6ee1\u8db3\u4e8b\u4ef6\u5e76\u96c6\u5904\u7684\u5206\u914d\u5f8b\u3002<\/span> <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e43f1e4d6e688179f911a63ac3b46789_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\\cap (B\\cup C)=(A\\cap B)\\cup (A\\cap C)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"259\" style=\"vertical-align: -5px;\"><\/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>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u4e8b\u4ef6\u64cd\u4f5c\/\">\u4e8b\u4ef6\u64cd\u4f5c<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u5982\u4f55\u8ba1\u7b97\u4e8b\u4ef6\u4ea4\u53c9\u7684\u6982\u7387\u3002\u6240\u4ee5\u4f60\u4f1a\u53d1\u73b0\u4e8b\u4ef6\u4ea4\u53c9\u6982\u7387\u7684\u516c\u5f0f\u662f\u4ec0\u4e48\uff0c\u6b64\u5916\u8fd8\u6709\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u3002 \u4e8b\u4ef6\u7684\u4ea4\u96c6\u662f [&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":[],"class_list":["post-393","post","type-post","status-publish","format-standard","hentry","category-12"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u4e8b\u4ef6\u4ea4\u53c9\u7684\u6982\u7387<\/title>\n<meta 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