{"id":387,"date":"2023-08-01T08:26:36","date_gmt":"2023-08-01T08:26:36","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%a6%82%e7%8e%87%e6%80%a7%e8%b4%a8\/"},"modified":"2023-08-01T08:26:36","modified_gmt":"2023-08-01T08:26:36","slug":"%e6%a6%82%e7%8e%87%e6%80%a7%e8%b4%a8","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%a6%82%e7%8e%87%e6%80%a7%e8%b4%a8\/","title":{"rendered":"\u6982\u7387\u5c5e\u6027"},"content":{"rendered":"

\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u6982\u7387\u5c5e\u6027\uff0c\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u6bcf\u4e2a\u6982\u7387\u5c5e\u6027\u7684\u5177\u4f53\u793a\u4f8b\u3002 <\/p>\n

<\/span>\u6982\u7387\u7684\u6027\u8d28\u662f\u4ec0\u4e48\uff1f<\/span><\/h2>\n

\u6982\u7387\u7684\u6027\u8d28<\/strong>\u662f\uff1a<\/p>\n

    \n
  1. \u4e00\u4e2a\u4e8b\u4ef6\u7684\u6982\u7387\u7b49\u4e8e\u4e00\u51cf\u53bb\u5176\u76f8\u53cd\u4e8b\u4ef6\u7684\u6982\u7387\u3002<\/span><\/li>\n
  2. \u4e0d\u53ef\u80fd\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u59cb\u7ec8\u4e3a\u96f6\u3002<\/span><\/li>\n
  3. \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
  4. \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
  5. \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
  6. \u6837\u672c\u7a7a\u95f4\u4e2d\u6240\u6709\u57fa\u672c\u4e8b\u4ef6\u7684\u6982\u7387\u4e4b\u548c\u7b49\u4e8e 1\u3002<\/span><\/li>\n<\/ol>\n

    \u8fd9\u53ea\u662f\u6982\u7387\u57fa\u672c\u5c5e\u6027\u7684\u603b\u7ed3\u3002\u4ee5\u4e0b\u662f\u6bcf\u4e2a\u5c5e\u6027\u7684\u66f4\u8be6\u7ec6\u89e3\u91ca\u548c\u5b9e\u9645\u793a\u4f8b\u3002<\/p>\n

    <\/span>\u7269\u4e1a1<\/span><\/h3>\n

    \u4e00\u4e2a\u4e8b\u4ef6\u7684\u6982\u7387\u7b49\u4e8e\u4e00\u51cf\u53bb\u5176\u76f8\u53cd\u4e8b\u4ef6\u7684\u6982\u7387\u3002\u56e0\u6b64\uff0c\u4e00\u4e2a\u4e8b\u4ef6\u7684\u6982\u7387\u52a0\u4e0a\u5176\u76f8\u53cd\u4e8b\u4ef6\u7684\u6982\u7387\u4e4b\u548c\u7b49\u4e8e 1\u3002<\/p>\n<\/p>\n

    \"P\\bigl(A\\bigr)=1-P\\bigl(\\overline{A}\\bigr)\"<\/p>\n<\/p>\n

    \u4f8b\u5982\uff0c\u6eda\u52a8\u6570\u5b57 5 \u7684\u6982\u7387\u662f 0.167\uff0c\u56e0\u4e3a\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u6b64\u6982\u7387\u5c5e\u6027\u786e\u5b9a\u6eda\u52a8\u4efb\u4f55\u5176\u4ed6\u6570\u5b57\u7684\u6982\u7387\uff1a <\/p>\n<\/p>\n

    \"P(5)=0,167\"<\/p>\n<\/p>\n

    \"P(1,<\/p>\n<\/p>\n

    <\/span>\u7269\u4e1a2<\/span><\/h3>\n

    \u4e0d\u53ef\u80fd\u4e8b\u4ef6\u7684\u6982\u7387\u4e3a 0\u3002\u4ece\u903b\u8f91\u4e0a\u8bb2\uff0c\u5982\u679c\u968f\u673a\u5b9e\u9a8c\u7684\u67d0\u4e2a\u7ed3\u679c\u4e0d\u53ef\u80fd\u53d1\u751f\uff0c\u5219\u5176\u53d1\u751f\u7684\u6982\u7387\u4e3a\u96f6\u3002<\/p>\n<\/p>\n

    \"P(\\varnothing)=0\"<\/p>\n<\/p>\n

    \u4f8b\u5982\uff0c\u6211\u4eec\u65e0\u6cd5\u901a\u8fc7\u63b7\u9ab0\u5b50\u5f97\u5230\u6570\u5b57 7 \u7684\u7ed3\u679c\uff0c\u56e0\u6b64\u8be5\u4e8b\u4ef6\u7684\u6982\u7387\u4e3a\u96f6\u3002 <\/p>\n<\/p>\n

    \"P(7)=0\"<\/p>\n<\/p>\n

    <\/span>\u7269\u4e1a3<\/span><\/h3>\n

    \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<\/p>\n

    \u663e\u7136\uff0c\u5982\u679c\u4e00\u4e2a\u4e8b\u4ef6\u5305\u542b\u5728\u4e00\u7ec4\u4e8b\u4ef6\u4e2d\uff0c\u5219\u5355\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u4e0d\u53ef\u80fd\u5927\u4e8e\u6574\u4e2a\u4e8b\u4ef6\u7ec4\u53d1\u751f\u7684\u6982\u7387\u3002<\/p>\n<\/p>\n

    \"A\\subset<\/p>\n<\/p>\n

    \u4f8b\u5982\uff0c\u6eda\u52a8\u6570\u5b57 4 \u7684\u6982\u7387\u4e3a 0.167\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u83b7\u5f97\u5076\u6570 (2, 4, 6) \u7684\u6982\u7387\u4e3a 0.50\u3002\u56e0\u6b64\uff0c\u6982\u7387\u8bba\u7684\u8fd9\u4e00\u6027\u8d28\u5f97\u5230\u6ee1\u8db3\u3002 <\/p>\n<\/p>\n

    \"P(4)=0,167\"<\/p>\n<\/p>\n

    \"\\begin{aligned}P(\\text{n\\'umero<\/p>\n<\/p>\n

    \"P(4)\n\n<h3<\/span> Propri\u00e9t\u00e9 4<\/span><\/h3>\n

    La probabilit\u00e9 d’union de deux \u00e9v\u00e9nements est \u00e9gale \u00e0 la somme de la probabilit\u00e9 que chaque \u00e9v\u00e9nement se produise s\u00e9par\u00e9ment moins la probabilit\u00e9 de leur intersection. En th\u00e9orie des probabilit\u00e9s, cette propri\u00e9t\u00e9 est connue sous le nom de r\u00e8gle de somme et sa formule est la suivante :[latex]P(A\\cup B)=P(A)+P(B)-P(A\\cap B)” title=”Rendered by QuickLaTeX.com” height=”107″ width=”2040″ style=”vertical-align: -5px;”><\/p>\n<\/p>\n

    \u60a8\u53ef\u4ee5\u70b9\u51fb\u6b64\u5904\u67e5\u770b\u8be5\u5c5e\u6027\u5e94\u7528\u7684\u5177\u4f53\u793a\u4f8b\uff1a <\/p>\n

    \u27a4<\/span>\u8bf7\u53c2\u9605\uff1a<\/strong>\u52a0\u6cd5\u89c4\u5219\u7684\u5df2\u89e3\u51b3\u793a\u4f8b<\/a><\/div>\n

    <\/span>\u7269\u4e1a5<\/span><\/h3>\n

    \u7ed9\u5b9a\u4e00\u7ec4\u4e24\u4e24\u4e0d\u76f8\u5bb9\u4e8b\u4ef6\uff0c\u53ef\u4ee5\u901a\u8fc7\u6dfb\u52a0\u6bcf\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u6765\u8ba1\u7b97\u5b83\u4eec\u7684\u8054\u5408\u6982\u7387\u3002<\/p>\n<\/p>\n

    \"P(A_1\\cup<\/p>\n<\/p>\n

    \u4f8b\u5982\uff0c\u63b7\u9ab0\u5b50\u7684\u4e0d\u540c\u7ed3\u679c\u662f\u4e0d\u517c\u5bb9\u4e8b\u4ef6\uff0c\u56e0\u4e3a\u5982\u679c\u63b7\u51fa\u4e00\u4e2a\u6570\u5b57\uff0c\u5219\u65e0\u6cd5\u83b7\u5f97\u53e6\u4e00\u4e2a\u6570\u5b57\u3002\u56e0\u6b64\uff0c\u4e3a\u4e86\u627e\u5230\u83b7\u5f97\u5947\u6570\u7684\u6982\u7387\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u4e0d\u540c\u5947\u6570\u51fa\u73b0\u7684\u6982\u7387\u76f8\u52a0\uff1a <\/p>\n<\/p>\n

    \"\\begin{aligned}P(\\text{n\\'umero<\/p>\n<\/p>\n

    <\/span>\u7269\u4e1a6<\/span><\/h3>\n

    \u6837\u672c\u7a7a\u95f4\u4e2d\u6240\u6709\u57fa\u672c\u4e8b\u4ef6<\/a>\u7684\u6982\u7387\u4e4b\u548c\u7b49\u4e8e 1\u3002<\/p>\n

    \u663e\u7136\uff0c\u968f\u673a\u5b9e\u9a8c\u5fc5\u7136\u4f1a\u5bfc\u81f4\u6837\u672c\u7a7a\u95f4\u4e2d\u7684\u57fa\u672c\u4e8b\u4ef6\uff0c\u56e0\u6b64\u6837\u672c\u7a7a\u95f4\u4e2d\u7684\u57fa\u672c\u4e8b\u4ef6\u603b\u4f1a\u53d1\u751f\uff0c\u56e0\u6b64\u6837\u672c\u7a7a\u95f4\u4e2d\u53d1\u751f\u7684\u603b\u6982\u7387\u5fc5\u5b9a\u4e3a100%\u3002<\/p>\n<\/p>\n

    \"\\Omega=\\{A_1,A_2,\\ldots,A_n\\}\"<\/p>\n<\/p>\n

    \"P(A_1)+P(A_2)+\\ldots+P(A_n)=1\"<\/p>\n<\/p>\n

    \u4f8b\u5982\uff0c\u63b7\u9ab0\u5b50\u7684\u6837\u672c\u7a7a\u95f4\u4e3a \u03a9={1, 2, 3, 4, 5, 6}\uff0c\u56e0\u6b64\u6240\u6709\u53ef\u80fd\u7ed3\u679c\u7684\u6982\u7387\u4e4b\u548c\u7b49\u4e8e 1\uff1a <\/p>\n<\/p>\n

    \"\\Omega=\\{1,2,3,4,5,6\\}\"<\/p>\n<\/p>\n

    \"\\begin{aligned}P(\\Omega)&=P(1)+P(2)+P(3)+P(4)+P(5)+P(6)\\\\[2ex]&=0,167+0,167+0,167+0,167+0,167+0,167\\\\[2ex]&=1\\end{aligned}\"<\/p>\n<\/p>\n

    <\/span>\u6982\u7387\u516c\u7406<\/span><\/h2>\n

    \u9664\u4e86\u6211\u4eec\u521a\u521a\u770b\u5230\u7684\u6982\u7387\u5c5e\u6027\u4e4b\u5916\uff0c\u6211\u4eec\u8fd8\u5fc5\u987b\u8bb0\u4f4f\u6982\u7387\u516c\u7406\uff0c\u5b83\u4eec\u662f\u5b9a\u4e49\u4e8b\u4ef6\u6982\u7387\u7684\u4e3b\u8981\u89c4\u5219\u3002<\/p>\n

    \u56e0\u6b64\uff0c\u6982\u7387\u516c\u7406\u5982\u4e0b\uff1a<\/p>\n

      \n
    1. \u6982\u7387\u516c\u7406 1<\/strong> \uff1a\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u4e0d\u80fd\u4e3a\u8d1f\u3002<\/span><\/li>\n
    2. \u6982\u7387\u516c\u74062<\/strong> \uff1a\u67d0\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u4e3a1\u3002<\/span><\/li>\n
    3. \u6982\u7387\u516c\u74063<\/strong> \uff1a\u4e00\u7ec4\u4e92\u65a5\u4e8b\u4ef6\u7684\u6982\u7387\u7b49\u4e8e\u6240\u6709\u6982\u7387\u4e4b\u548c\u3002<\/span><\/li>\n<\/ol>\n

      \u60a8\u53ef\u4ee5\u5728\u6b64\u5904\u4e86\u89e3\u6709\u5173\u6982\u7387\u516c\u7406\u53ca\u5176\u5e94\u7528\u793a\u4f8b\u7684\u66f4\u591a\u4fe1\u606f\uff1a <\/p>\n

      \u27a4<\/span>\u8bf7\u53c2\u9605\uff1a<\/strong>\u6982\u7387\u516c\u7406<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"

      \u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u6982\u7387\u5c5e\u6027\uff0c\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u6bcf\u4e2a\u6982\u7387\u5c5e\u6027\u7684\u5177\u4f53\u793a\u4f8b\u3002 \u6982\u7387\u7684\u6027\u8d28\u662f\u4ec0\u4e48\uff1f \u6982\u7387\u7684\u6027\u8d28\u662f […]<\/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-387","post","type-post","status-publish","format-standard","hentry","category-12"],"yoast_head":"\n\u25b7 \u6982\u7387\u5c5e\u6027<\/title>\n<meta name=\"description\" content=\"\u5728\u8fd9\u91cc\uff0c\u60a8\u5c06\u4e86\u89e3\u4ec0\u4e48\u662f\u6982\u7387\u5c5e\u6027\uff0c\u6b64\u5916\uff0c\u60a8\u8fd8\u53ef\u4ee5\u770b\u5230\u6bcf\u4e2a\u6982\u7387\u5c5e\u6027\u7684\u5177\u4f53\u793a\u4f8b\u3002\" \/>\n<meta name=\"robots\" content=\"index, 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