{"id":400,"date":"2023-08-01T02:01:55","date_gmt":"2023-08-01T02:01:55","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%a6%82%e7%8e%87%e8%ae%ba\/"},"modified":"2023-08-01T02:01:55","modified_gmt":"2023-08-01T02:01:55","slug":"%e6%a6%82%e7%8e%87%e8%ae%ba","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%a6%82%e7%8e%87%e8%ae%ba\/","title":{"rendered":"\u6982\u7387\u8bba"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u6982\u7387\u8bba\u53ca\u5176\u7528\u9014\u3002\u6240\u4ee5\u4f60\u4f1a\u53d1\u73b0\u6982\u7387\u8bba\u7684\u57fa\u672c\u6982\u5ff5\u4ee5\u53ca\u6982\u7387\u8bba\u7684\u6027\u8d28\u548c\u89c4\u5f8b\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-teoria-de-la-probabilidad\"><\/span>\u4ec0\u4e48\u662f\u6982\u7387\u8bba\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u6982\u7387\u8bba<\/strong>\u662f\u4e00\u7ec4\u7528\u4e8e\u8ba1\u7b97\u968f\u673a\u73b0\u8c61\u6982\u7387\u7684\u89c4\u5219\u548c\u5c5e\u6027\u3002\u56e0\u6b64\uff0c\u6982\u7387\u8bba\u4f7f\u6211\u4eec\u80fd\u591f\u77e5\u9053\u968f\u673a\u5b9e\u9a8c\u6700\u6709\u53ef\u80fd\u53d1\u751f\u54ea\u79cd\u7ed3\u679c\u3002<\/p>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u968f\u673a\u73b0\u8c61\u662f\u53ef\u4ee5\u4ece\u5b9e\u9a8c\u4e2d\u83b7\u5f97\u7684\u7ed3\u679c\uff0c\u5176\u7ed3\u679c\u65e0\u6cd5\u9884\u6d4b\uff0c\u4f46\u53d6\u51b3\u4e8e\u673a\u4f1a\u3002\u56e0\u6b64\uff0c\u6982\u7387\u8bba\u662f\u4e00\u7ec4\u5b9a\u5f8b\uff0c\u4f7f\u6211\u4eec\u80fd\u591f\u786e\u5b9a\u968f\u673a\u73b0\u8c61\u53d1\u751f\u7684\u6982\u7387\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5f53\u6211\u4eec\u629b\u786c\u5e01\u65f6\uff0c\u6211\u4eec\u53ef\u80fd\u4f1a\u5f97\u5230\u4e24\u79cd\u53ef\u80fd\u7684\u7ed3\u679c\uff1a\u6b63\u9762\u6216\u53cd\u9762\u3002\u90a3\u4e48\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u6982\u7387\u8bba\u6765\u8ba1\u7b97\u83b7\u5f97\u6b63\u9762\u7684\u6982\u7387\uff0c\u5728\u672c\u4f8b\u4e2d\u4e3a 50%\u3002<\/p>\n<p>\u7eb5\u89c2\u5386\u53f2\uff0c\u8bb8\u591a\u4eba\u5bf9\u6982\u7387\u8bba\u7684\u53d1\u5c55\u505a\u51fa\u4e86\u8d21\u732e\uff0c\u5176\u4e2d\u5361\u5c14\u8fbe\u8bfa\u3001\u62c9\u666e\u62c9\u65af\u3001\u9ad8\u65af\u548c\u67ef\u5c14\u83ab\u54e5\u6d1b\u592b\u8131\u9896\u800c\u51fa\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\/\u6982\u7387\u516c\u5f0f\/\">\u6982\u7387\u516c\u5f0f<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"conceptos-basicos-de-la-teoria-de-la-probabilidad\"><\/span>\u6982\u7387\u8bba\u57fa\u7840\u77e5\u8bc6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"espacio-muestral\"><\/span>\u6837\u672c\u7a7a\u95f4<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5728\u6982\u7387\u8bba\u4e2d\uff0c<strong>\u6837\u672c\u7a7a\u95f4<\/strong>\u662f\u968f\u673a\u5b9e\u9a8c\u7684\u6240\u6709\u53ef\u80fd\u7ed3\u679c\u7684\u96c6\u5408\u3002<\/p>\n<p>\u6837\u672c\u7a7a\u95f4\u7684\u7b26\u53f7\u662f\u5927\u5199\u5e0c\u814a\u5b57\u6bcd Omega (\u03a9)\uff0c\u5c3d\u7ba1\u5b83\u4e5f\u53ef\u4ee5\u7528\u5927\u5199\u5b57\u6bcd E \u8868\u793a\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u63b7\u9ab0\u5b50\u7684\u6837\u672c\u7a7a\u95f4\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-b3ad0ac057b6cd7e3d3db78b556249a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Omega=\\{1,2,3,4,5,6\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"146\" 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\/\u6837\u672c\u7a7a\u95f41\/\">\u6837\u672c\u7a7a\u95f4<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"suceso\"><\/span>\u4e8b\u4ef6<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5728\u6982\u7387\u8bba\u4e2d\uff0c<strong>\u4e8b\u4ef6<\/strong>\uff08\u6216\u4e8b\u4ef6\uff09\u662f\u968f\u673a\u5b9e\u9a8c\u7684\u6bcf\u79cd\u53ef\u80fd\u7ed3\u679c\u3002\u56e0\u6b64\uff0c\u4e8b\u4ef6\u7684\u6982\u7387\u662f\u6307\u793a\u7ed3\u679c\u53d1\u751f\u7684\u6982\u7387\u7684\u503c\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5728\u629b\u786c\u5e01\u4e2d\uff0c\u6709\u4e24\u4e2a\u4e8b\u4ef6\uff1a\u201c\u6b63\u9762\u201d\u548c\u201c\u53cd\u9762\u201d\u3002<\/p>\n<p>\u6709\u4e0d\u540c\u7c7b\u578b\u7684\u4e8b\u4ef6\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u57fa\u672c\u4e8b\u4ef6\uff08\u6216\u7b80\u5355\u4e8b\u4ef6\uff09\uff1a<\/strong>\u5b9e\u9a8c\u7684\u6bcf\u4e2a\u53ef\u80fd\u7ed3\u679c\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u590d\u5408\u4e8b\u4ef6\uff1a<\/strong>\u8fd9\u662f\u6837\u672c\u7a7a\u95f4\u7684\u5b50\u96c6\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u7279\u5b9a\u4e8b\u4ef6\uff1a<\/strong>\u8fd9\u662f\u603b\u4f1a\u53d1\u751f\u7684\u968f\u673a\u7ecf\u5386\u7684\u7ed3\u679c\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u4e0d\u53ef\u80fd\u4e8b\u4ef6\uff1a<\/strong>\u8fd9\u662f\u6c38\u8fdc\u4e0d\u4f1a\u53d1\u751f\u7684\u968f\u673a\u5b9e\u9a8c\u7684\u7ed3\u679c\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u517c\u5bb9\u4e8b\u4ef6\uff1a<\/strong>\u5f53\u4e24\u4e2a\u4e8b\u4ef6\u5177\u6709\u5171\u540c\u7684\u57fa\u672c\u4e8b\u4ef6\u65f6\uff0c\u5b83\u4eec\u662f\u517c\u5bb9\u7684\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u4e0d\u517c\u5bb9\u4e8b\u4ef6\uff1a<\/strong>\u5f53\u4e24\u4e2a\u4e8b\u4ef6\u4e0d\u5171\u4eab\u4efb\u4f55\u57fa\u672c\u4e8b\u4ef6\u65f6\uff0c\u5b83\u4eec\u662f\u4e0d\u517c\u5bb9\u7684\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u72ec\u7acb\u4e8b\u4ef6\uff1a<\/strong>\u5982\u679c\u4e00\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u4e0d\u5f71\u54cd\u53e6\u4e00\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\uff0c\u5219\u4e24\u4e2a\u4e8b\u4ef6\u662f\u72ec\u7acb\u7684\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u76f8\u5173\u4e8b\u4ef6\uff1a<\/strong>\u5982\u679c\u4e00\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u6539\u53d8\u4e86\u53e6\u4e00\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\uff0c\u5219\u4e24\u4e2a\u4e8b\u4ef6\u662f\u76f8\u5173\u7684\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u4e0e\u53e6\u4e00\u4e2a\u4e8b\u4ef6\u76f8\u53cd\u7684\u4e8b\u4ef6\uff1a<\/strong>\u5f53\u53e6\u4e00\u4e2a\u4e8b\u4ef6\u6ca1\u6709\u53d1\u751f\u65f6\u53d1\u751f\u7684\u4e8b\u4ef6\u3002<\/span> <\/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>\u4e8b\u4ef6\u7c7b\u578b<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"axiomas-de-la-probabilidad\"><\/span>\u6982\u7387\u516c\u7406<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6982\u7387\u516c\u7406\u662f\uff1a<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u6982\u7387\u516c\u7406 1<\/strong> \uff1a\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u4e0d\u80fd\u4e3a\u8d1f\u3002<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-60e0ca200964690b247a4dd29a7533ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0\\leq P(A)\\leq 1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"105\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u6982\u7387\u516c\u74062<\/strong> \uff1a\u67d0\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u4e3a1\u3002<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3bce9a4bd2e6e64bfb5c0563de6106a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\Omega)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u6982\u7387\u516c\u74063<\/strong> \uff1a\u4e00\u7ec4\u4e0d\u76f8\u5bb9\u4e8b\u4ef6\u7684\u6982\u7387\u7b49\u4e8e\u6240\u6709\u6982\u7387\u7684\u603b\u548c\u3002<\/span> <\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fe646d340e4b18901999affd42bbaa21_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\\cap B= \\varnothing \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ P(A\\cup B)=P(A)+P(B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"422\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/ol>\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\/\u6982\u7387\u516c\u7406\/\">\u6982\u7387\u516c\u7406<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-probabilidad\"><\/span>\u6982\u7387\u5c5e\u6027<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6982\u7387\u5c5e\u6027\u662f\uff1a<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u4e00\u4e2a\u4e8b\u4ef6\u7684\u6982\u7387\u7b49\u4e8e\u4e00\u51cf\u53bb\u5176\u76f8\u53cd\u4e8b\u4ef6\u7684\u6982\u7387\u3002<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e0d62ccd1f8f95072d222f71dc749d90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\\bigl(A\\bigr)=1-P\\bigl(\\overline{A}\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"139\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u4e0d\u53ef\u80fd\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u59cb\u7ec8\u4e3a\u96f6\u3002<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-8a100ef3cff594784306812f09ec1edf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\varnothing)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u4e00\u4e2a\u4e8b\u4ef6\u5305\u542b\u5728\u53e6\u4e00\u4e2a\u4e8b\u4ef6\u4e2d\uff0c\u5219\u7b2c\u4e00\u4e2a\u4e8b\u4ef6\u7684\u6982\u7387\u5fc5\u987b\u5c0f\u4e8e\u6216\u7b49\u4e8e\u7b2c\u4e8c\u4e2a\u4e8b\u4ef6\u7684\u6982\u7387\u3002<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-305a2b392adf58d4a453451588cc8df7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\\subset B \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ P(A)\\leq P(B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"292\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u4e24\u4e2a\u4e8b\u4ef6\u5e76\u96c6\u7684\u6982\u7387\u7b49\u4e8e\u6bcf\u4e2a\u4e8b\u4ef6\u5355\u72ec\u53d1\u751f\u7684\u6982\u7387\u4e4b\u548c\u51cf\u53bb\u5b83\u4eec\u76f8\u4ea4\u7684\u6982\u7387\u3002<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-be7c6347c0f331eeb6540ac9e15081dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cup B)=P(A)+P(B)-P(A\\cap B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"299\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u7ed9\u5b9a\u4e00\u7ec4\u4e24\u4e24\u4e0d\u76f8\u5bb9\u7684\u4e8b\u4ef6\uff0c\u5b83\u4eec\u7684\u8054\u5408\u6982\u7387\u662f\u901a\u8fc7\u5c06\u6bcf\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u76f8\u52a0\u6765\u8ba1\u7b97\u7684\u3002<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-764b23b74452aaa9dae225ca858b6621_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A_1\\cup A_2 \\cup \\ldots\\cup A_n)=P(A_1)+P(A_2)+\\ldots+P(A_n)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"428\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u6837\u672c\u7a7a\u95f4\u4e2d\u6240\u6709\u57fa\u672c\u4e8b\u4ef6\u7684\u6982\u7387\u4e4b\u548c\u7b49\u4e8e 1\u3002<\/span> <\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-191a5226cbed021795400db02c08ed57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Omega=\\{A_1,A_2,\\ldots,A_n\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"165\" 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-ee0f59a00301b4e664c0c7b9d36de757_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A_1)+P(A_2)+\\ldots+P(A_n)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"265\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/ol>\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\/\u6982\u7387\u6027\u8d28\/\">\u6982\u7387\u7684\u5c5e\u6027<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"reglas-de-la-probabilidad\"><\/span>\u6982\u7387\u89c4\u5219<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"regla-de-laplace\"><\/span>\u62c9\u666e\u62c9\u65af\u6cd5\u5219<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u62c9\u666e\u62c9\u65af\u89c4\u5219<\/strong>\u662f\u4e00\u79cd\u6982\u7387\u89c4\u5219\uff0c\u7528\u4e8e\u8ba1\u7b97\u6837\u672c\u7a7a\u95f4\u4e2d\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u3002<\/p>\n<p>\u66f4\u5177\u4f53\u5730\u8bf4\uff0c\u62c9\u666e\u62c9\u65af\u89c4\u5219\u6307\u51fa\uff0c\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u7b49\u4e8e\u6709\u5229\u60c5\u51b5\u7684\u6570\u91cf\u9664\u4ee5\u53ef\u80fd\u60c5\u51b5\u7684\u603b\u6570\u3002\u56e0\u6b64\uff0c\u62c9\u666e\u62c9\u65af\u6cd5\u5219\u7684\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-d3b5a3fd8897ec1933cfc654566b84dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A)=\\cfrac{\\text{casos favorables}}{\\text{casos posibles}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"190\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u5c06 5 \u4e2a\u7eff\u7403\u30014 \u4e2a\u84dd\u7403\u548c 2 \u4e2a\u9ec4\u7403\u653e\u5165\u4e00\u4e2a\u888b\u5b50\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u62c9\u666e\u62c9\u65af\u6cd5\u5219\u6c42\u51fa\u968f\u673a\u62bd\u51fa\u7eff\u7403\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-68f6b4223a63448cf4e89485ee0ca28e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{bola verde})=\\cfrac{5}{5+4+2}=0,45\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"261\" style=\"vertical-align: -14px;\"><\/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\/\u62c9\u666e\u62c9\u65af\u6cd5\u5219\u6216\u62c9\u666e\u62c9\u65af\u5b9a\u5f8b\/\">\u62c9\u666e\u62c9\u65af\u89c4\u5219\uff08\u6982\u7387\uff09<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"regla-de-la-suma\"><\/span>\u603b\u548c\u89c4\u5219<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5728\u6982\u7387\u8bba\u4e2d\uff0c<strong>\u6c42\u548c\u89c4\u5219<\/strong>\uff08\u6216\u52a0\u6cd5\u89c4\u5219\uff09\u8868\u793a\u4e24\u4e2a\u4e8b\u4ef6\u7684\u6982\u7387\u4e4b\u548c\u7b49\u4e8e\u6bcf\u4e2a\u4e8b\u4ef6\u5355\u72ec\u53d1\u751f\u7684\u6982\u7387\u4e4b\u548c\u51cf\u53bb\u4e24\u4e2a\u4e8b\u4ef6\u540c\u65f6\u53d1\u751f\u7684\u6982\u7387\u3002\u65f6\u95f4\u3002 \u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u52a0\u6cd5\u89c4\u5219\u7684\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-be7c6347c0f331eeb6540ac9e15081dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cup B)=P(A)+P(B)-P(A\\cap B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"299\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u60a8\u53ef\u4ee5\u5728\u4ee5\u4e0b\u94fe\u63a5\u4e2d\u67e5\u770b\u5df2\u89e3\u51b3\u7684\u52a0\u6cd5\u89c4\u5219\u5e94\u7528\u7684\u5206\u6b65\u7ec3\u4e60\uff1a <\/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\uff08\u6982\u7387\uff09<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"regla-de-la-multiplicacion\"><\/span>\u4e58\u6cd5\u89c4\u5219<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u4e58\u6cd5\u89c4\u5219\uff08\u6216\u4e58\u79ef\u89c4\u5219\uff09<\/strong>\u8868\u793a\u4e24\u4e2a\u72ec\u7acb\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<p>\u56e0\u6b64\uff0c\u4e58\u6cd5\u89c4\u5219\u7684\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>\u7136\u800c\uff0c\u4e58\u6cd5\u89c4\u5219\u7684\u516c\u5f0f\u6839\u636e\u4e8b\u4ef6\u662f\u72ec\u7acb\u7684\u8fd8\u662f\u76f8\u5173\u7684\u800c\u53d8\u5316\u3002\u60a8\u53ef\u4ee5\u5355\u51fb\u6b64\u5904\u67e5\u770b\u76f8\u5173\u4e8b\u4ef6\u4e58\u6cd5\u89c4\u5219\u7684\u516c\u5f0f\u4ee5\u53ca\u5e94\u7528\u6b64\u89c4\u5219\u7684\u793a\u4f8b\uff1a <\/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\/\u4e58\u6cd5\u89c4\u5219\/\">\u4e58\u6cd5\u89c4\u5219\uff08\u6982\u7387\uff09<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u6982\u7387\u8bba\u53ca\u5176\u7528\u9014\u3002\u6240\u4ee5\u4f60\u4f1a\u53d1\u73b0\u6982\u7387\u8bba\u7684\u57fa\u672c\u6982\u5ff5\u4ee5\u53ca\u6982\u7387\u8bba\u7684\u6027\u8d28\u548c\u89c4\u5f8b\u3002 \u4ec0\u4e48\u662f\u6982\u7387\u8bba\uff1f \u6982\u7387\u8bba\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-400","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 \u6982\u7387\u8bba<\/title>\n<meta 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