{"id":398,"date":"2023-08-01T03:14:34","date_gmt":"2023-08-01T03:14:34","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e4%ba%8b%e4%bb%b6%e7%9a%84%e6%a6%82%e7%8e%87-3\/"},"modified":"2023-08-01T03:14:34","modified_gmt":"2023-08-01T03:14:34","slug":"%e4%ba%8b%e4%bb%b6%e7%9a%84%e6%a6%82%e7%8e%87-3","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e4%ba%8b%e4%bb%b6%e7%9a%84%e6%a6%82%e7%8e%87-3\/","title":{"rendered":"\u4e8b\u4ef6\uff08\u6982\u7387\uff09"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4ec0\u4e48\u662f\u6982\u7387\u4e8b\u4ef6\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u4e86\u89e3\u4e8b\u4ef6\u7684\u542b\u4e49\u3001\u4e8b\u4ef6\u7684\u793a\u4f8b\u3001\u4e8b\u4ef6\u6709\u54ea\u4e9b\u4e0d\u540c\u7c7b\u578b\u4ee5\u53ca\u4e8b\u4ef6\u7684\u6982\u7387\u662f\u5982\u4f55\u8ba1\u7b97\u7684\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-los-eventos-en-probabilidad\"><\/span>\u4ec0\u4e48\u662f\u6982\u7387\u4e8b\u4ef6\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u6982\u7387\u8bba\u4e2d\uff0c<strong>\u4e8b\u4ef6<\/strong>\u662f\u968f\u673a\u5b9e\u9a8c\u4ea7\u751f\u7684\u4e00\u7ec4\u7ed3\u679c\u3002\u56e0\u6b64\uff0c\u4e8b\u4ef6\u53ef\u4ee5\u662f\u5b9e\u9a8c\u7684\u5355\u4e2a\u7ed3\u679c\u6216\u4e00\u7ec4\u7ed3\u679c\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u629b\u786c\u5e01\u7684\u968f\u673a\u5b9e\u9a8c\u4e2d\u7684\u4e00\u4e2a\u4e8b\u4ef6\u662f\u5f97\u5230\u201c\u6b63\u9762\u201d\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-eventos\"><\/span>\u4e8b\u4ef6\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u4e86\u89e3\u4e86\u4e8b\u4ef6\u7684\u6982\u7387\u5b9a\u4e49\u540e\uff0c\u6211\u4eec\u5c06\u770b\u5230\u51e0\u4e2a\u4e8b\u4ef6\u7684\u793a\u4f8b\u6765\u5b8c\u5168\u7406\u89e3\u8fd9\u4e2a\u6982\u5ff5\u3002<\/p>\n<p><strong><u style=\"text-decoration-color:#FF8A05\">\u63b7\u9ab0\u5b50\u4e8b\u4ef6\u793a\u4f8b\uff1a<\/u><\/strong><\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:14px\"><span style=\"color:#101010;font-weight: normal;\">\u5220\u9664\u6570\u5b57 2\u3002<\/span><\/li>\n<li style=\"margin-bottom:14px\"><span style=\"color:#101010;font-weight: normal;\">\u753b\u4e00\u4e2a\u5076\u6570\uff082\u30014\u30016\uff09\u3002<\/span><\/li>\n<li style=\"margin-bottom:14px\"><span style=\"color:#101010;font-weight: normal;\">\u753b\u4e00\u4e2a\u5c0f\u4e8e 5 \u7684\u6570\u5b57\uff081\u30012\u30013\u30014\uff09\u3002<\/span><\/li>\n<li style=\"margin-bottom:14px\"><span style=\"color:#101010;font-weight: normal;\">\u753b\u51fa 3 \u7684\u500d\u6570 (3, 6)\u3002<\/span><\/li>\n<li style=\"margin-bottom:14px\"><span style=\"color:#101010;font-weight: normal;\">\u753b\u4e00\u4e2a\u5927\u4e8e 2 (3, 5) \u7684\u5947\u6570\u3002<\/span><\/li>\n<\/ul>\n<p>\u4efb\u4f55\u968f\u673a\u5b9e\u9a8c\u7684\u4e0d\u540c\u4e8b\u4ef6\u90fd\u53ef\u4ee5\u7528\u6811\u5f62\u56fe\u8868\u793a\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\/\u6811\u5f62\u56fe\/\">\u6811\u7ed3\u6784\u793a\u4f8b<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-eventos\"><\/span>\u4e8b\u4ef6\u7c7b\u578b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u6982\u7387\u8bba\u4e2d\uff0c<strong>\u4e8b\u4ef6\u7684\u7c7b\u578b<\/strong>\u662f\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>\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>\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<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-probabilidad-de-un-evento\"><\/span>\u5982\u4f55\u8ba1\u7b97\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e8b\u4ef6\u6982\u7387\u662f\u8868\u793a\u7edf\u8ba1\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u7684\u503c\u3002<\/p>\n<p>\u4e8b\u4ef6\u7684\u6982\u7387\u503c\u57280\uff08\u4e0d\u53ef\u80fd\u4e8b\u4ef6\uff09\u548c1\uff08\u786e\u5b9a\u4e8b\u4ef6\uff09\u4e4b\u95f4\u53d8\u5316\uff0c\u56e0\u6b64\u4e8b\u4ef6\u7684\u6982\u7387\u8d8a\u9ad8\uff0c\u53d1\u751f\u7684\u53ef\u80fd\u6027\u5c31\u8d8a\u5927\u3002<\/p>\n<p>\u4e8b\u4ef6\u7684\u6982\u7387\u662f\u6839\u636e\u62c9\u666e\u62c9\u65af\u89c4\u5219\u8ba1\u7b97\u7684\uff0c\u6839\u636e\u62c9\u666e\u62c9\u65af\u89c4\u5219\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>\u56e0\u6b64\uff0c<strong>\u4e8b\u4ef6\u53d1\u751f\u6982\u7387\u7684\u516c\u5f0f<\/strong>\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<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\u8ba1\u7b97\/\">\u6982\u7387\u8ba1\u7b97\u793a\u4f8b<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-los-eventos\"><\/span>\u4e8b\u4ef6\u5c5e\u6027<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e8b\u4ef6\u5c5e\u6027\u5982\u4e0b\uff1a<\/p>\n<ul>\n<li>\u4efb\u4f55\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u90fd\u7b49\u4e8e\u6216\u5c0f\u4e8e1\u3002<\/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-8e330bd57300d6c716cdf84cc80f7fe7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A)\\leq1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"73\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u5982\u679c\u4e8b\u4ef6A\u5305\u542b\u5728\u4e8b\u4ef6B\u4e2d\uff0c\u5219\u4e8b\u4ef6A\u53d1\u751f\u7684\u6982\u7387\u5c06\u7b49\u4e8e\u6216\u5c0f\u4e8e\u4e8b\u4ef6B\u53d1\u751f\u7684\u6982\u7387\u3002<\/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-82e0403c53305d5ddb4941efa2312218_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\\subset B \\implies P(A)\\leq P(B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"205\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4e0d\u53ef\u80fd\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u59cb\u7ec8\u4e3a\u96f6\u3002<\/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-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<ul>\n<li>\u5982\u679c<span style=\"text-decoration:overline\">A<\/span>\u662f\u4e0eA\u76f8\u53cd\u7684\u4e8b\u4ef6\uff0c\u5219\u4e8b\u4ef6<span style=\"text-decoration:overline\">A<\/span>\u7684\u6982\u7387\u7b49\u4e8e1\u51cf\u53bb\u4e8b\u4ef6A\u7684\u6982\u7387\u3002 <\/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-4a8c9aeb5cbd0b884ef67b813e316602_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\overline{A})=1-P(A)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"135\" 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\/\u6982\u7387\u6027\u8d28\/\">\u6982\u7387\u7684\u5c5e\u6027<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"operaciones-con-eventos\"><\/span>\u4e8b\u4ef6\u64cd\u4f5c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u6982\u7387\u8bba\u4e2d\uff0c\u5bf9\u4e8b\u4ef6\u7684\u8fd0\u7b97\u5206\u4e3a\u4e09\u79cd\u7c7b\u578b\uff0c\u5373\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u4e8b\u4ef6\u5e76\u96c6\uff1a<\/strong>\u662f\u4e00\u4e2a\u4e8b\u4ef6\u6216\u53e6\u4e00\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u4e8b\u4ef6\u7684\u4ea4\u96c6\uff1a<\/strong>\u4e24\u4e2a\u6216\u591a\u4e2a\u4e8b\u4ef6\u7684\u8054\u5408\u6982\u7387\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u4e8b\u4ef6\u5dee\u5f02\uff1a<\/strong>\u8fd9\u662f\u4e00\u4e2a\u4e8b\u4ef6\u53d1\u751f\u4f46\u53e6\u4e00\u4e8b\u4ef6\u4e0d\u540c\u65f6\u53d1\u751f\u7684\u6982\u7387\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><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\u4ec0\u4e48\u662f\u6982\u7387\u4e8b\u4ef6\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u4e86\u89e3\u4e8b\u4ef6\u7684\u542b\u4e49\u3001\u4e8b\u4ef6\u7684\u793a\u4f8b\u3001\u4e8b\u4ef6\u6709\u54ea\u4e9b\u4e0d\u540c\u7c7b\u578b\u4ee5\u53ca\u4e8b\u4ef6\u7684\u6982\u7387\u662f\u5982\u4f55\u8ba1\u7b97\u7684\u3002  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