{"id":367,"date":"2023-08-01T18:06:33","date_gmt":"2023-08-01T18:06:33","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%8b%89%e6%99%ae%e6%8b%89%e6%96%af%e6%b3%95%e5%88%99%e6%88%96%e6%8b%89%e6%99%ae%e6%8b%89%e6%96%af%e5%ae%9a%e5%be%8b\/"},"modified":"2023-08-01T18:06:33","modified_gmt":"2023-08-01T18:06:33","slug":"%e6%8b%89%e6%99%ae%e6%8b%89%e6%96%af%e6%b3%95%e5%88%99%e6%88%96%e6%8b%89%e6%99%ae%e6%8b%89%e6%96%af%e5%ae%9a%e5%be%8b","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%8b%89%e6%99%ae%e6%8b%89%e6%96%af%e6%b3%95%e5%88%99%e6%88%96%e6%8b%89%e6%99%ae%e6%8b%89%e6%96%af%e5%ae%9a%e5%be%8b\/","title":{"rendered":"\u62c9\u666e\u62c9\u65af\u6cd5\u5219\uff08\u6216\u62c9\u666e\u62c9\u65af\u5b9a\u5f8b\uff09"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4ec0\u4e48\u662f\u62c9\u666e\u62c9\u65af\u6cd5\u5219\uff0c\u4e5f\u79f0\u4e3a\u62c9\u666e\u62c9\u65af\u5b9a\u5f8b\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u53d1\u73b0\u62c9\u666e\u62c9\u65af\u6cd5\u5219\u7684\u516c\u5f0f\u548c\u4e00\u4e9b\u7ec3\u4e60\u7ec3\u4e60\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-regla-de-laplace\"><\/span>\u62c9\u666e\u62c9\u65af\u6cd5\u5219\u662f\u4ec0\u4e48\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u62c9\u666e\u62c9\u65af\u6cd5\u5219<\/strong>\uff0c\u53c8\u79f0<strong>\u62c9\u666e\u62c9\u65af\u5b9a\u5f8b<\/strong>\uff0c\u662f\u7528\u6765\u8ba1\u7b97\u4e8b\u4ef6\u53d1\u751f\u6982\u7387\u7684\u89c4\u5219\u3002\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<\/p>\n<p>\u62c9\u666e\u62c9\u65af\u89c4\u5219\u4ee5\u6cd5\u56fd\u6570\u5b66\u5bb6\u76ae\u57c3\u5c14-\u897f\u8499\u00b7\u62c9\u666e\u62c9\u65af\uff08Pierre-Simon Laplace\uff0c1749-1827\uff09\u7684\u540d\u5b57\u547d\u540d\uff0c\u4ed6\u5960\u5b9a\u4e86\u6982\u7387\u8bba\u7684\u57fa\u7840\u3002<\/p>\n<p>\u5728\u6982\u7387\u548c\u7edf\u8ba1\u5b66\u4e2d\uff0c\u7ecf\u5e38\u4f7f\u7528\u62c9\u666e\u62c9\u65af\u89c4\u5219\uff0c\u56e0\u4e3a\u5b83\u5141\u8bb8\u4eba\u4eec\u8ba1\u7b97\u7edf\u8ba1\u5b9e\u9a8c\u53ef\u80fd\u7ed3\u679c\u7684\u6982\u7387\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>\u53c2\u89c1\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u7edf\u8ba1\u7ecf\u9a8c\/\">\u7edf\u8ba1\u5b9e\u9a8c<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-regla-de-laplace\"><\/span>\u62c9\u666e\u62c9\u65af\u6cd5\u5219\u7684\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\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\u4e3a\u4e86\u8ba1\u7b97\u67d0\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\uff0c\u5fc5\u987b\u5c06\u4e0e\u8be5\u4e8b\u4ef6\u76f8\u7b26\u7684\u6848\u4f8b\u9664\u4ee5\u53ef\u80fd\u7ed3\u679c\u7684\u6570\u91cf\u3002<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u62c9\u666e\u62c9\u65af\u6cd5\u5219\u7684\u516c\u5f0f<\/strong>\u5982\u4e0b\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\/regle-de-laplace.png\" alt=\"\u62c9\u666e\u62c9\u65af\u6cd5\u5219 \u62c9\u666e\u62c9\u65af\u6cd5\u5219\" class=\"wp-image-8217\" width=\"281\" height=\"180\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p style=\"margin-bottom:10px\">\u91d1\u5b50\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:10px\"><span style=\"color:#101010;font-weight: normal;\">\u6709\u5229\u7684\u60c5\u51b5\u662f\u6ee1\u8db3\u76f8\u5173\u4e8b\u4ef6\u6761\u4ef6\u7684\u6240\u6709\u7ed3\u679c\u3002<\/span><\/li>\n<li style=\"margin-bottom:10px\"><span style=\"color:#101010;font-weight: normal;\">\u53ef\u80fd\u7684\u60c5\u51b5\u662f\u53ef\u80fd\u53d1\u751f\u7684\u7ed3\u679c\u7684\u603b\u6570\u3002<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-regla-de-laplace\"><\/span>\u62c9\u666e\u62c9\u65af\u89c4\u5219\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u62c9\u666e\u62c9\u65af\u6cd5\u5219\u7684\u5b9a\u4e49\u53ca\u5176\u516c\u5f0f\u662f\u4ec0\u4e48\uff0c\u8ba9\u6211\u4eec\u770b\u4e00\u4e2a\u4f8b\u5b50\u6765\u5b8c\u6210\u5bf9\u6982\u5ff5\u7684\u7406\u89e3\u3002<\/p>\n<ul>\n<li>\u5728\u4e00\u4e2a\u7a7a\u76d2\u5b50\u91cc\uff0c\u6211\u4eec\u653e\u4e86 5 \u4e2a\u84dd\u7403\u30014 \u4e2a\u7eff\u7403\u548c 2 \u4e2a\u9ec4\u7403\u3002\u5f53\u4f60\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u7403\u65f6\uff0c\u5b83\u662f\u84dd\u8272\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/li>\n<\/ul>\n<p>\u4e3a\u4e86\u786e\u5b9a\u4e8b\u4ef6\u7684\u6982\u7387\uff0c\u6211\u4eec\u5fc5\u987b\u5e94\u7528\u62c9\u666e\u62c9\u65af\u89c4\u5219\u7684\u516c\u5f0f\uff0c\u5982\u4e0b\u6240\u793a\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>\u5728\u672c\u4f8b\u4e2d\uff0c\u6709\u5229\u6848\u4f8b\u7684\u6570\u91cf\u4e3a 5\uff0c\u56e0\u4e3a\u6211\u4eec\u5728\u6846\u4e2d\u653e\u5165\u4e86 5 \u4e2a\u84dd\u8272\u7403\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u53ef\u80fd\u60c5\u51b5\u7684\u6570\u91cf\u662f\u6240\u6709\u5165\u888b\u7403\u7684\u603b\u548c\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-613fe8177cd01f9796d49b5ea92590c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{bola azul})=\\cfrac{5}{5+4+2}=\\cfrac{5}{11}=0,45\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"294\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u4ece\u76d2\u5b50\u91cc\u62bd\u51fa\u84dd\u8272\u7403\u7684\u6982\u7387\u662f 0.45\uff0c\u5373 45%\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-regla-de-laplace\"><\/span>\u89e3\u51b3\u4e86\u62c9\u666e\u62c9\u65af\u6cd5\u5219\u7684\u95ee\u9898<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u6c42\u63b7\u9ab0\u5b50\u5f97\u5230\u5076\u6570\u7684\u6982\u7387\u3002 <\/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\">\u4e3a\u4e86\u786e\u5b9a\u4e8b\u4ef6\u7684\u6982\u7387\uff0c\u6211\u4eec\u5fc5\u987b\u4f7f\u7528\u62c9\u666e\u62c9\u65af\u5b9a\u5f8b\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-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 class=\"has-text-align-left\">\u5f53\u63b7\u9ab0\u5b50\u65f6\uff0c\u552f\u4e00\u53ef\u80fd\u7684\u5076\u6570\u7ed3\u679c\u662f 2\u30014 \u548c 6\uff0c\u56e0\u6b64\u5b58\u5728\u4e09\u79cd\u6709\u5229\u7684\u60c5\u51b5\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u9ab0\u5b50\u5171\u6709\u516d\u4e2a\u9762\uff0c\u56e0\u6b64\u6709\u516d\u4e2a\u53ef\u80fd\u7684\u76d2\u5b50\u3002<\/p>\n<p class=\"has-text-align-left\">\u7136\u540e\uff0c\u8ba1\u7b97\u5b8c\u6210\u6240\u8bf7\u6c42\u7684\u7ec3\u4e60\u7684\u6982\u7387\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-53615b43235357fa9be0039b95b3f286_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{n\\'umero par})=\\cfrac{3}{6}=0,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"200\" style=\"vertical-align: -12px;\"><\/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>\u786e\u5b9a\u629b\u63b7\u4e24\u679a\u786c\u5e01\u65f6\u4e24\u679a\u786c\u5e01\u6b63\u9762\u671d\u4e0a\u7684\u6982\u7387\u3002 <\/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\">\u6b63\u5982\u6211\u4eec\u5728\u6574\u7bc7\u6587\u7ae0\u4e2d\u6240\u770b\u5230\u7684\uff0c\u8981\u627e\u5230\u4e8b\u4ef6\u7684\u6982\u7387\uff0c\u6211\u4eec\u5fc5\u987b\u5e94\u7528\u62c9\u666e\u62c9\u65af\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-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 class=\"has-text-align-left\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6709\u56db\u79cd\u53ef\u80fd\u7684\u7ed3\u679c\uff0c\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-555b52a7631c0024ec1b4447959f80d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cara y cara}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"87\" style=\"vertical-align: -4px;\"><\/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-73b0ca8affdc31f5b23a93989b3d427c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cara y cruz}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"87\" style=\"vertical-align: -4px;\"><\/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-65b890b85f9325294fb658d8d53a16a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cruz y cara}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"87\" style=\"vertical-align: -4px;\"><\/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-3c0846793d04256fd8d0ee59dd15f586_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cruz y cruz}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"87\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u56db\u79cd\u53ef\u80fd\u60c5\u51b5\u4e2d\u53ea\u6709\u4e00\u79cd\u6709\u5229\u60c5\u51b5\uff0c\u56e0\u6b64\u83b7\u5f97\u4e24\u4e2a\u6b63\u9762\u7684\u6982\u7387\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-5fa992aa7b2f7488b5f5695f88c63221_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{cara y cara})=\\cfrac{1}{4}=0,25\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"206\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e603<\/h3>\n<p>\u6c42\u63b7\u516c\u5e73\u9ab0\u5b50\u5f97\u5230\u5c0f\u4e8e 5 \u7684\u6570\u5b57\u7684\u6982\u7387\u3002 <\/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\">\u6211\u4eec\u5fc5\u987b\u4f7f\u7528\u62c9\u666e\u62c9\u65af\u89c4\u5219\u6765\u8ba1\u7b97\u95ee\u9898\u7ed9\u6211\u4eec\u5e26\u6765\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-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 class=\"has-text-align-left\">\u63b7\u9ab0\u5b50\u65f6\uff0c\u5c0f\u4e8e 5 \u7684\u7ed3\u679c\u4e3a 1\u30012\u30013 \u548c 4\uff0c\u56e0\u6b64\u5728\u53ef\u80fd\u83b7\u5f97\u7684 6 \u79cd\u7ed3\u679c\u4e2d\uff0c\u6709 4 \u79cd\u6709\u5229\u7684\u60c5\u51b5\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-7727f9ded50f708ee1350a046abf936f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{n\\'umero menor que 5})=\\cfrac{4}{6}=0,67\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"281\" style=\"vertical-align: -12px;\"><\/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\u4ec0\u4e48\u662f\u62c9\u666e\u62c9\u65af\u6cd5\u5219\uff0c\u4e5f\u79f0\u4e3a\u62c9\u666e\u62c9\u65af\u5b9a\u5f8b\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u53d1\u73b0\u62c9\u666e\u62c9\u65af\u6cd5\u5219\u7684\u516c\u5f0f\u548c\u4e00\u4e9b\u7ec3\u4e60\u7ec3\u4e60\u3002 \u62c9\u666e\u62c9\u65af\u6cd5\u5219 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