{"id":46,"date":"2023-08-06T04:35:57","date_gmt":"2023-08-06T04:35:57","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e7%bb%8f%e5%85%b8%e6%a6%82%e7%8e%87\/"},"modified":"2023-08-06T04:35:57","modified_gmt":"2023-08-06T04:35:57","slug":"%e7%bb%8f%e5%85%b8%e6%a6%82%e7%8e%87","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e7%bb%8f%e5%85%b8%e6%a6%82%e7%8e%87\/","title":{"rendered":"\u7ecf\u5178\u6982\u7387"},"content":{"rendered":"<p>\u5728\u8fd9\u91cc\u60a8\u5c06\u4e86\u89e3\u4ec0\u4e48\u662f\u7ecf\u5178\u6982\u7387\u3001\u5982\u4f55\u8ba1\u7b97\u7ecf\u5178\u6982\u7387\u4ee5\u53ca\u5177\u4f53\u793a\u4f8b\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u7ecf\u5178\u6982\u7387\u548c\u5176\u4ed6\u7c7b\u578b\u6982\u7387\u4e4b\u95f4\u7684\u5dee\u5f02\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-probabilidad-clasica\"><\/span>\u4ec0\u4e48\u662f\u7ecf\u5178\u6982\u7387\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u7ecf\u5178\u6982\u7387<\/strong>\u662f\u4e00\u79cd\u7edf\u8ba1\u5ea6\u91cf\uff0c\u8868\u660e\u4e8b\u4ef6\u53d1\u751f\u7684\u53ef\u80fd\u6027\u3002\u7ecf\u5178\u6982\u7387\u7b49\u4e8e\u8be5\u4e8b\u4ef6\u6709\u5229\u4e8b\u4f8b\u7684\u6570\u91cf\u9664\u4ee5\u53ef\u80fd\u4e8b\u4f8b\u7684\u603b\u6570\u3002<\/p>\n<p>\u7ecf\u5178\u6982\u7387\u4e5f\u79f0\u4e3a<strong>\u7406\u8bba\u6982\u7387<\/strong>\u6216<strong>\u5148\u9a8c\u6982\u7387<\/strong>\u3002<\/p>\n<p>\u7ecf\u5178\u6982\u7387\u662f0\u52301\u4e4b\u95f4\u7684\u6570\u5b57\u3002\u4e8b\u4ef6\u53d1\u751f\u7684\u53ef\u80fd\u6027\u8d8a\u5927\uff0c\u7ecf\u5178\u6982\u7387\u5c31\u8d8a\u5927\uff1b\u76f8\u53cd\uff0c\u4e8b\u4ef6\u53d1\u751f\u7684\u53ef\u80fd\u6027\u8d8a\u5c0f\uff0c\u8be5\u503c\u8d8a\u4f4e\u3002\u7684\u7ecf\u5178\u6982\u7387\u5c06\u662f\u3002<\/p>\n<p>\u4e0e\u5176\u4ed6\u7c7b\u578b\u7684\u6982\u7387\u4e0d\u540c\uff0c\u65e0\u9700\u8fdb\u884c\u5b9e\u9a8c\u5373\u53ef\u627e\u5230\u4e8b\u4ef6\u7684\u7ecf\u5178\u6982\u7387\uff1b\u8fd9\u662f\u7406\u8bba\u8ba1\u7b97\u3002\u4e0b\u9762\u6211\u4eec\u5c06\u6df1\u5165\u63a2\u8ba8\u8fd9\u4e2a\u6982\u5ff5\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-probabilidad-clasica\"><\/span>\u7ecf\u5178\u6982\u7387\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u7ecf\u5178\u7684\u6982\u7387\u516c\u5f0f<\/strong>\u662f\u67d0\u4e2a\u4e8b\u4ef6\u7684\u6709\u5229\u4e8b\u4f8b\u6570\u9664\u4ee5\u5b9e\u9a8c\u4e2d\u7684\u4e8b\u4f8b\u603b\u6570\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-47eefb1b0f197dfabcdb701b4858c3b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" P(A)=\\cfrac{\\text{n\\'umero de casos favorables al evento A}}{\\text{n\\'umero total de casos}}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"372\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u8fd9\u4e2a\u516c\u5f0f\u4e5f\u88ab\u79f0\u4e3a<strong>\u62c9\u666e\u62c9\u65af\u6cd5\u5219<\/strong>\uff08\u6216\u62c9\u666e\u62c9\u65af\u5b9a\u5f8b\uff09\uff0c\u56e0\u4e3a\u662f\u8457\u540d\u7684\u6cd5\u56fd\u6570\u5b66\u5bb6\u4e8e1812\u5e74\u5728\u5176\u51fa\u7248\u7684\u300a<em>\u6982\u7387\u5206\u6790\u8bba\u300b<\/em>\u4e2d\u9996\u6b21\u63d0\u51fa\u5b83\u3002<\/p>\n<p>\u5fc5\u987b\u8003\u8651\u5230\uff0c\u4e3a\u4e86\u80fd\u591f\u4f7f\u7528\u8fd9\u4e2a\u516c\u5f0f\uff0c\u6837\u672c\u7a7a\u95f4\u4e2d\u7684\u6240\u6709\u4e8b\u4ef6\u5fc5\u987b\u662f\u7b49\u6982\u7387\u7684\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u5b83\u5fc5\u987b\u662f\u4e00\u4e2a<strong>\u7b49\u6982\u7387\u7684\u6837\u672c\u7a7a\u95f4<\/strong>\u3002\u5982\u679c\u60a8\u4e0d\u77e5\u9053\u8be5\u672f\u8bed\u7684\u542b\u4e49\uff0c\u6211\u5efa\u8bae\u60a8\u5728\u7ee7\u7eed\u4e4b\u524d\u67e5\u770b\u4ee5\u4e0b\u94fe\u63a5\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\/\u6837\u672c\u7a7a\u95f41\/\">\u4ec0\u4e48\u662f\u6837\u672c\u7a7a\u95f4\uff1f<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-probabilidad-clasica\"><\/span>\u7ecf\u5178\u6982\u7387\u7684\u4f8b\u5b50<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8003\u8651\u5230\u7ecf\u5178\u6982\u7387\u7684\u5b9a\u4e49\uff0c\u4e0b\u9762\u6211\u4eec\u5c06\u89e3\u91ca\u5982\u4f55\u8ba1\u7b97\u6b64\u7c7b\u6982\u7387\u7684\u793a\u4f8b\u3002\u8fd9\u6837\u4f60\u4f1a\u66f4\u597d\u5730\u7406\u89e3\u7ecf\u5178\u6982\u7387\u7684\u542b\u4e49\u3002<\/p>\n<ul>\n<li>\u8ba1\u7b97\u63b7\u9ab0\u5b50\u65f6\u53d1\u751f<em>\u201c\u63b7\u51fa\u6570\u5b57 5\u201d<\/em>\u4e8b\u4ef6\u7684\u6982\u7387\u3002\u7136\u540e\u8fd8\u786e\u5b9a<em>\u201c\u5f97\u5230\u5c0f\u4e8e4\u7684\u6570\u201d\u7684<\/em>\u6982\u7387\u3002<\/li>\n<\/ul>\n<p>\u5728\u672c\u4f8b\u4e2d\uff0c\u6211\u4eec\u8981\u5206\u6790\u63b7\u9ab0\u5b50\u7684\u968f\u673a\u5b9e\u9a8c\uff0c\u8be5\u5b9e\u9a8c\u6709\u516d\u79cd\u53ef\u80fd\u7684\u7ed3\u679c\uff081\u30012\u30013\u30014\u30015 \u548c 6\uff09\u3002\u6211\u4eec\u53ef\u4ee5\u8ba4\u4e3a\u5b9e\u9a8c\u4e2d\u7684\u6240\u6709\u57fa\u672c\u4e8b\u4ef6\u90fd\u662f\u540c\u7b49\u6982\u7387\u7684\uff0c\u56e0\u4e3a\u6211\u4eec\u5047\u8bbe\u9ab0\u5b50\u6ca1\u6709\u88ab\u64cd\u7eb5\u5e76\u4e14\u72b6\u6001\u826f\u597d\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u5229\u7528\u62c9\u666e\u62c9\u65af\u6cd5\u5219\u6765\u63a8\u5bfc\u7ecf\u5178\u6982\u7387\u3002<\/p>\n<p>\u5728<em>\u201c\u83b7\u5f97\u6570\u5b57 5\u201d\u7684<\/em>\u4e8b\u4ef6\u4e2d\uff0c\u53ea\u6709\u4e00\u79cd\u6709\u5229\u7684\u60c5\u51b5\uff0c\u5373\u9ab0\u5b50\uff0c\u6211\u4eec\u83b7\u5f97\u6570\u5b57 5 \u7684\u9762\u3002\u7136\u800c\uff0c\u6709\u516d\u79cd\u53ef\u80fd\u7684\u7ed3\u679c\uff0c\u56e0\u6b64\u4e8b\u4ef6\u7684\u7ecf\u5178\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-a3bb38e1b0cea46c13a67fd1b06e3236_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P(\\text{n\\'umero 5})&amp;=\\cfrac{\\text{n\\'umero de casos favorables}}{\\text{n\\'umero total de casos}}\\\\[2ex] &amp;= \\cfrac{1}{6}\\\\[2ex] &amp;=0,167\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"337\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u6211\u4eec\u4e5f\u60f3\u627e\u5230<em>\u201c\u83b7\u5f97\u5c0f\u4e8e4\u7684\u6570\u201d\u7684<\/em>\u7ecf\u5178\u6982\u7387\u3002\u8fd9\u79cd\u60c5\u51b5\u662f\u4e00\u4e2a\u590d\u5408\u4e8b\u4ef6\uff0c\u5b58\u5728\u4e09\u79cd\u53ef\u80fd\u7684\u6709\u5229\u60c5\u51b5\uff0c\u56e0\u4e3a\u5982\u679c\u6570\u5b57 1\u30012 \u6216 3 \u51fa\u73b0\uff0c\u8be5\u4e8b\u4ef6\u5c31\u4f1a\u53d1\u751f\u3002\u56e0\u6b64\uff0c\u8be5\u4e8b\u4ef6\u7684\u7ecf\u5178\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-1d6fbd15e91770e00648a9a44a286432_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P(\\text{n\\'umero menor que 4})&amp;=\\cfrac{\\text{n\\'umero de casos favorables}}{\\text{n\\'umero total de casos}}\\\\[2ex] &amp;= \\cfrac{3}{6}\\\\[2ex] &amp;=0,5\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"424\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"probabilidad-clasica-y-probabilidad-frecuencial\"><\/span>\u7ecf\u5178\u6982\u7387\u548c\u9891\u7387\u6982\u7387<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u7ecf\u5178\u6982\u7387\u548c\u9891\u7387\u6982\u7387\uff08\u6216\u7ecf\u9a8c\u6982\u7387\uff09\u4e4b\u95f4\u7684\u533a\u522b<\/strong>\u5728\u4e8e\uff0c\u7ecf\u5178\u6982\u7387\u662f\u5728\u4e0d\u8fdb\u884c\u4efb\u4f55\u5b9e\u9a8c\u7684\u60c5\u51b5\u4e0b\u8ba1\u7b97\u7684\uff0c\u5373\u4f7f\u7528\u903b\u8f91\u6765\u627e\u51fa\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u3002\u8fdb\u884c\u5b9e\u9a8c\u5e76\u6839\u636e\u7ed3\u679c\u8ba1\u7b97\u53d1\u751f\u7684\u6982\u7387\u3002<\/p>\n<p>\u7136\u800c\uff0c\u8981\u627e\u5230\u4e00\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u9891\u7387\u6982\u7387\uff0c\u4ec5\u4ec5\u505a\u4e00\u6b21\u5b9e\u9a8c\u662f\u4e0d\u591f\u7684\uff0c\u8fd8\u5fc5\u987b\u91cd\u590d\u591a\u6b21\u76f8\u540c\u7684\u5b9e\u9a8c\u3002\u91cd\u590d\u5b9e\u9a8c\u7684\u6b21\u6570\u8d8a\u591a\uff0c\u9891\u7387\u6982\u7387\u5c31\u8d8a\u51c6\u786e\u3002\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u901a\u5e38\u4f7f\u7528\u6570\u5343\u4e2a\u8ba1\u7b97\u673a\u7a0b\u5e8f\u6765\u5feb\u901f\u6a21\u62df\u5b9e\u9a8c\u7684\u539f\u56e0\u3002<\/p>\n<p>\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u8ba1\u7b97\u9891\u7387\u6982\u7387\u5e76\u4e0d\u7b80\u5355\u3002\u60a8\u53ef\u4ee5\u5728\u6b64\u5904\u67e5\u770b\u5982\u4f55\u5b8c\u6210\u6b64\u64cd\u4f5c\u7684\u5206\u6b65\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\/\u9891\u7387\u6982\u7387-1\/\">\u9891\u7387\u6982\u7387\u793a\u4f8b<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"probabilidad-clasica-y-probabilidad-condicional\"><\/span>\u7ecf\u5178\u6982\u7387\u548c\u6761\u4ef6\u6982\u7387<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u6761\u4ef6\u6982\u7387<\/strong>\uff08\u6216\u6761\u4ef6\u6982\u7387\uff09\u662f\u4e0e\u7ecf\u5178\u6982\u7387\u5b8c\u5168\u4e0d\u540c\u7684\u6982\u7387\u7c7b\u578b\u3002\u5728\u7ecf\u5178\u6982\u7387\u4e2d\uff0c\u4ec5\u8003\u8651\u8981\u8ba1\u7b97\u53d1\u751f\u6982\u7387\u7684\u4e8b\u4ef6\uff0c\u800c\u5728\u6761\u4ef6\u6982\u7387\u4e2d\uff0c\u8fd8\u8003\u8651\u5148\u524d\u7684\u4e8b\u4ef6\u3002<\/p>\n<p>\u4e5f\u5c31\u662f\u8bf4\uff0c\u4e00\u4e2a\u4e8b\u4ef6\u7684\u6761\u4ef6\u6982\u7387\u53d6\u51b3\u4e8e\u4e4b\u524d\u53d1\u751f\u7684\u4e8b\u4ef6\u3002\u4f8b\u5982\uff0c\u4ece\u897f\u73ed\u7259\u724c\u7ec4\u4e2d\u62bd\u51fa\u7ea2\u5fc3\u724c\u7684\u6982\u7387\u5c06\u8f83\u4f4e\u6216\u8f83\u9ad8\uff0c\u5177\u4f53\u53d6\u51b3\u4e8e\u662f\u5426\u5df2\u62bd\u51fa\u7ea2\u5fc3\u724c\u6216\u662f\u5426\u5df2\u62bd\u51fa\u53e6\u4e00\u79cd\u7c7b\u578b\u7684\u724c\u3002<\/p>\n<p>\u6761\u4ef6\u6982\u7387\u8ba1\u7b97\u6bd4\u7ecf\u5178\u6982\u7387\u8ba1\u7b97\u66f4\u56f0\u96be\uff0c\u800c\u4e14\u5fc5\u987b\u4e8b\u5148\u4e86\u89e3\u5176\u4ed6\u6982\u5ff5\u3002\u60a8\u53ef\u4ee5\u70b9\u51fb\u6b64\u5904\u67e5\u770b\u5982\u4f55\u8ba1\u7b97\u4e8b\u4ef6\u7684\u6761\u4ef6\u6982\u7387\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\/\u6761\u4ef6\u6761\u4ef6\u6982\u7387\/\">\u6761\u4ef6\u6982\u7387\u516c\u5f0f<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u8fd9\u91cc\u60a8\u5c06\u4e86\u89e3\u4ec0\u4e48\u662f\u7ecf\u5178\u6982\u7387\u3001\u5982\u4f55\u8ba1\u7b97\u7ecf\u5178\u6982\u7387\u4ee5\u53ca\u5177\u4f53\u793a\u4f8b\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u7ecf\u5178\u6982\u7387\u548c\u5176\u4ed6\u7c7b\u578b\u6982\u7387\u4e4b\u95f4\u7684\u5dee\u5f02 [&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-46","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 \u4ec0\u4e48\u662f\u7ecf\u5178\u6982\u7387\uff1f \uff08\u5b9a\u4e49\u548c\u4f8b\u5b50\uff09<\/title>\n<meta name=\"description\" content=\"\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u7ecf\u5178\u6982\u7387\u4ee5\u53ca\u5b83\u662f\u5982\u4f55\u8ba1\u7b97\u7684\uff08\u516c\u5f0f\uff09\u3002\u63d0\u4f9b\u7ecf\u5178\u6982\u7387\u7684\u5df2\u89e3\u51b3\u793a\u4f8b\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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