{"id":44,"date":"2023-08-06T05:29:40","date_gmt":"2023-08-06T05:29:40","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e7%90%86%e8%ae%ba%e6%a6%82%e7%8e%871\/"},"modified":"2023-08-06T05:29:40","modified_gmt":"2023-08-06T05:29:40","slug":"%e7%90%86%e8%ae%ba%e6%a6%82%e7%8e%871","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e7%90%86%e8%ae%ba%e6%a6%82%e7%8e%871\/","title":{"rendered":"\u7406\u8bba\u6982\u7387"},"content":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u60a8\u5c06\u4e86\u89e3\u7406\u8bba\u6982\u7387\u7684\u542b\u4e49\u4ee5\u53ca\u5982\u4f55\u8ba1\u7b97\u7406\u8bba\u6982\u7387\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u8ba1\u7b97\u4e8b\u4ef6\u7406\u8bba\u6982\u7387\u7684\u5177\u4f53\u793a\u4f8b\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-probabilidad-teorica\"><\/span>\u4ec0\u4e48\u662f\u7406\u8bba\u6982\u7387\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u7406\u8bba\u6982\u7387<\/strong>\u662f\u4e00\u79cd\u7edf\u8ba1\u5ea6\u91cf\uff0c\u8868\u660e\u4e8b\u4ef6\u53d1\u751f\u7684\u53ef\u80fd\u6027\u3002\u4e8b\u4ef6\u7684\u7406\u8bba\u6982\u7387\u7b49\u4e8e\u8be5\u4e8b\u4ef6\u7684\u6709\u5229\u6848\u4f8b\u6570\u9664\u4ee5\u53ef\u80fd\u6848\u4f8b\u603b\u6570\u3002<\/p>\n<p>\u7406\u8bba\u6982\u7387\u4e5f\u79f0\u4e3a<strong>\u7ecf\u5178\u6982\u7387<\/strong>\u6216<strong>\u5148\u9a8c\u6982\u7387<\/strong>\u3002<\/p>\n<p>\u53e6\u5916\uff0c\u7406\u8bba\u6982\u7387\u662f\u4e00\u4e2a\u4ecb\u4e8e 0 \u548c 1 \u4e4b\u95f4\u7684\u503c\u3002\u4ece\u903b\u8f91\u4e0a\u8bb2\uff0c\u8be5\u503c\u8d8a\u5927\uff0c\u6240\u8ba8\u8bba\u7684\u4e8b\u4ef6\u53d1\u751f\u7684\u53ef\u80fd\u6027\u5c31\u8d8a\u5927\uff0c0 \u8868\u793a\u4e0d\u53ef\u80fd\u53d1\u751f\u7684\u4e8b\u4ef6\uff0c1 \u8868\u793a\u5c06\u53d1\u751f\u7684\u4e8b\u4ef6\u3002\u4f1a\u4ea7\u751f\u3002\u603b\u662f\u4f1a\u53d1\u751f\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-probabilidad-teorica\"><\/span>\u7406\u8bba\u6982\u7387\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u7406\u8bba\u6982\u7387\u7684\u516c\u5f0f<\/strong>\u662f\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>\u8be5\u516c\u5f0f\u4e5f\u79f0\u4e3a<strong>\u62c9\u666e\u62c9\u65af\u6cd5\u5219<\/strong>\uff08\u6216\u62c9\u666e\u62c9\u65af\u5b9a\u5f8b\uff09\u3002\u663e\u7136\uff0c\u8fd9\u4e2a\u516c\u5f0f\u4e4b\u6240\u4ee5\u5982\u6b64\u547d\u540d\uff0c\u662f\u56e0\u4e3a\u76ae\u57c3\u5c14\u00b7\u897f\u66fc\u00b7\u62c9\u666e\u62c9\u65af (Pierre-Siman Laplace) \u5728\u5176\u51fa\u7248\u7684\u300a<em>\u6982\u7387\u5206\u6790\u8bba\u300b<\/em> (1812) \u4e2d\u9996\u5148\u63d0\u51fa\u4e86\u8be5\u89c4\u5219\u3002<\/p>\n<p>\u60a8\u5e94\u8be5\u8bb0\u4f4f\uff0c\u53ea\u6709\u5f53\u6837\u672c\u7a7a\u95f4\u4e2d\u7684\u57fa\u672c\u4e8b\u4ef6\u662f\u7b49\u6982\u7387\u7684\uff08\u5373\uff0c\u5982\u679c\u5b83\u662f<strong>\u7b49\u6982\u7387\u6837\u672c\u7a7a\u95f4 \uff09<\/strong>\u65f6\uff0c\u624d\u80fd\u4f7f\u7528\u6b64\u516c\u5f0f\u3002\u5982\u679c\u60a8\u4e0d\u77e5\u9053\u8fd9\u4e2a\u672f\u8bed\u7684\u542b\u4e49\uff0c\u6211\u5efa\u8bae\u60a8\u5728\u7ee7\u7eed\u9605\u8bfb\u89e3\u91ca\u4e4b\u524d\u8bbf\u95ee\u4ee5\u4e0b\u94fe\u63a5\uff0c\u56e0\u4e3a\u5b83\u662f\u6982\u7387\u7684\u57fa\u672c\u6982\u5ff5\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\/\u6837\u672c\u7a7a\u95f41\/\">\u6837\u672c\u7a7a\u95f4\uff08\u6982\u7387\uff09<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-probabilidad-teorica\"><\/span>\u7406\u8bba\u6982\u7387\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e86\u89e3\u7406\u8bba\u6982\u7387\u7684\u5b9a\u4e49\u540e\uff0c\u5728\u672c\u8282\u4e2d\u6211\u4eec\u5c06\u89e3\u51b3\u6b64\u7c7b\u6982\u7387\u7684\u793a\u4f8b\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>\u7ecf\u9a8c\u7684\u6240\u6709\u57fa\u672c\u4e8b\u4ef6\uff081\u30012\u30013\u30014\u30015 \u548c 6\uff09\u90fd\u662f\u7b49\u6982\u7387\u7684\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u5e94\u7528\u62c9\u666e\u62c9\u65af\u89c4\u5219\u6765\u8ba1\u7b97\u4e8b\u4ef6\u7684\u7406\u8bba\u6982\u7387\u3002<\/p>\n<p>\u5728<em>\u201c\u5f97\u5230\u6570\u5b57 5\u201d\u7684\u60c5\u51b5\u4e0b\uff0c<\/em>\u53ea\u6709\u4e00\u79cd\u6709\u5229\u7684\u60c5\u51b5\uff1a\u5f97\u5230\u6570\u5b57 5\u3002\u4f46\u662f\u6709\u516d\u79cd\u53ef\u80fd\u7684\u7ed3\u679c\uff0c\u56e0\u6b64\u8981\u8ba1\u7b97\u7406\u8bba\u6982\u7387\uff0c\u60a8\u5fc5\u987b\u5c06\u4e00\u9664\u4ee5\u516d\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>\u8be5\u9648\u8ff0\u8fd8\u8981\u6c42\u6211\u4eec\u6c42\u51fa<em>\u201c\u5f97\u5230\u5c0f\u4e8e 4 \u7684\u6570\u201d\u7684<\/em>\u7406\u8bba\u6982\u7387\u3002\u8be5\u4e8b\u4ef6\u662f\u590d\u5408\u4e8b\u4ef6\uff0c\u5e76\u4e14\u5b58\u5728\u4e09\u79cd\u53ef\u80fd\u7684\u6709\u5229\u60c5\u51b5\uff0c\u56e0\u4e3a\u5982\u679c\u51fa\u73b0\u6570\u5b57 1\u30012 \u6216 3\uff0c\u5219\u8be5\u4e8b\u4ef6\u5c31\u4f1a\u53d1\u751f\u3002\u56e0\u6b64\uff0c\u8be5\u4e8b\u4ef6\u7684\u7406\u8bba\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-teorica-y-probabilidad-frecuencial\"><\/span>\u7406\u8bba\u6982\u7387\u548c\u9891\u7387\u6982\u7387<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e3a\u4e86\u5b8c\u6210\u5bf9\u7406\u8bba\u6982\u7387\u6982\u5ff5\u7684\u7406\u89e3\uff0c\u8ba9\u6211\u4eec\u770b\u770b\u7406\u8bba\u6982\u7387\u548c\u9891\u7387\u6982\u7387\u4e4b\u95f4\u6709\u4ec0\u4e48\u533a\u522b\uff0c\u56e0\u4e3a\u6211\u4eec\u53ef\u4ee5\u8bf4\u5b83\u4eec\u662f\u4e24\u79cd\u76f8\u53cd\u7c7b\u578b\u7684\u6982\u7387\u3002<\/p>\n<p><strong>\u7406\u8bba\u6982\u7387\u548c\u9891\u7387\u6982\u7387\uff08\u6216\u7ecf\u9a8c\u6982\u7387\uff09\u4e4b\u95f4\u7684\u533a\u522b\u5728\u4e8e<\/strong>\uff0c\u7406\u8bba\u6982\u7387\u662f\u4f7f\u7528\u903b\u8f91\u548c\u7406\u8bba\u8ba1\u7b97\u7684\uff0c\u800c\u9891\u7387\u6982\u7387\u662f\u4f7f\u7528\u5b9e\u9a8c\u83b7\u5f97\u7684\u7ed3\u679c\u8ba1\u7b97\u7684\u3002<\/p>\n<p>\u4e3a\u4e86\u8ba1\u7b97\u9891\u7387\u6982\u7387\uff0c\u8fdb\u884c\u5355\u4e2a\u5b9e\u9a8c\u662f\u4e0d\u591f\u7684\uff0c\u56e0\u4e3a\u5b83\u53ef\u80fd\u662f\u6709\u6761\u4ef6\u7684\uff0c\u7136\u540e\u6211\u4eec\u4f1a\u5f97\u5230\u4e0d\u53ef\u9760\u7684\u7ed3\u679c\u3002\u76f8\u53cd\uff0c\u5fc5\u987b\u6a21\u62df\u8bb8\u591a\u5b9e\u9a8c\u624d\u80fd\u83b7\u5f97\u66f4\u53ef\u9760\u7684\u6982\u7387\u3002\u4e8b\u5b9e\u4e0a\uff0c\u6211\u4eec\u8fdb\u884c\u7684\u5b9e\u9a8c\u8d8a\u591a\uff0c\u9891\u7387\u6982\u7387\u7684\u51c6\u786e\u6027\u5c31\u8d8a\u9ad8\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u9891\u7387\u6982\u7387\u7684\u8ba1\u7b97\u6bd4\u7406\u8bba\u6982\u7387\u66f4\u4e3a\u590d\u6742\u3002\u4f46\u60a8\u53ef\u4ee5\u5728\u8fd9\u91cc\u770b\u5230\u51e0\u4e2a\u9010\u6b65\u89e3\u91ca\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\/\u9891\u7387\u6982\u7387-1\/\">\u9891\u7387\u6982\u7387\u7684\u5df2\u89e3\u51b3\u793a\u4f8b<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u60a8\u5c06\u4e86\u89e3\u7406\u8bba\u6982\u7387\u7684\u542b\u4e49\u4ee5\u53ca\u5982\u4f55\u8ba1\u7b97\u7406\u8bba\u6982\u7387\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u8ba1\u7b97\u4e8b\u4ef6\u7406\u8bba\u6982\u7387\u7684\u5177\u4f53\u793a\u4f8b\u3002 \u4ec0\u4e48\u662f\u7406 [&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-44","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\u7406\u8bba\u6982\u7387\uff1f \uff08\u5b9a\u4e49\u548c\u4f8b\u5b50\uff09<\/title>\n<meta name=\"description\" content=\"\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u7406\u8bba\u6982\u7387\u4ee5\u53ca\u5b83\u662f\u5982\u4f55\u8ba1\u7b97\u7684\uff08\u516c\u5f0f\uff09\u3002\u5177\u6709\u7406\u8bba\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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