{"id":1345,"date":"2023-07-26T19:17:44","date_gmt":"2023-07-26T19:17:44","guid":{"rendered":"https:\/\/statorials.org\/cn\/a-%e6%88%96-b-%e7%9a%84%e6%a6%82%e7%8e%87\/"},"modified":"2023-07-26T19:17:44","modified_gmt":"2023-07-26T19:17:44","slug":"a-%e6%88%96-b-%e7%9a%84%e6%a6%82%e7%8e%87","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/a-%e6%88%96-b-%e7%9a%84%e6%a6%82%e7%8e%87\/","title":{"rendered":"\u5982\u4f55\u6c42 a \u6216 b \u7684\u6982\u7387\uff1a\u4e3e\u4f8b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u7ed9\u5b9a\u4e24\u4e2a\u4e8b\u4ef6A\u548cB\uff0c\u201c\u6c42A\u6216B\u7684\u6982\u7387\u201d\u610f\u5473\u7740\u6c42<strong>\u4e8b\u4ef6A\u6216\u4e8b\u4ef6B\u53d1\u751f\u7684<\/strong>\u6982\u7387\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u4e00\u822c\u7528\u4e24\u79cd\u65b9\u5f0f\u6765\u5199\u8fd9\u4e2a\u6982\u7387\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(A \u6216 B) \u2013 \u4e66\u9762\u5f62\u5f0f<\/span><\/li>\n<li><span style=\"color: #000000;\">P(A\u222aB) \u2013 \u5f62\u5f0f\u7b26\u53f7<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u5982\u4f55\u8ba1\u7b97\u8fd9\u4e2a\u6982\u7387\u53d6\u51b3\u4e8e\u4e8b\u4ef6 A \u548c B \u662f\u5426<a href=\"https:\/\/statorials.org\/cn\/\u76f8\u4e92\u5305\u5bb9\u4e0e\u76f8\u4e92\u6392\u65a5\/\" target=\"_blank\" rel=\"noopener\">\u4e92\u65a5<\/a>\u3002<\/span><span style=\"color: #000000;\">\u5982\u679c\u4e24\u4e2a\u4e8b\u4ef6\u4e0d\u80fd\u540c\u65f6\u53d1\u751f\uff0c\u5219\u5b83\u4eec\u662f\u4e92\u65a5\u7684\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c A \u548c B<strong>\u4e92\u65a5<\/strong>\uff0c\u90a3\u4e48\u6211\u4eec\u7528\u6765\u8ba1\u7b97 P(A\u222aB) \u7684\u516c\u5f0f\u4e3a\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 19px;\"> <strong><span style=\"color: #000000;\">Mutually Exclusive Events:<\/span> <span style=\"color: #000000;\">P(A\u222aB) = P(A) + P(B)<\/span>\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u5982\u679c A \u548c B<strong>\u4e0d\u4e92\u65a5<\/strong>\uff0c\u90a3\u4e48\u6211\u4eec\u7528\u6765\u8ba1\u7b97 P(A\u222aB) \u7684\u516c\u5f0f\u4e3a\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 19px;\"> <strong><span style=\"color: #000000;\">Not Mutually Exclusive Events:<\/span> <span style=\"color: #000000;\">P(A\u222aB) = P(A) + P(B) - P(A\u2229B)<\/span><\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0cP(A\u2229B) \u662f\u4e8b\u4ef6 A \u548c\u4e8b\u4ef6 B \u90fd\u53d1\u751f\u7684\u6982\u7387\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u5728\u5b9e\u8df5\u4e2d\u4f7f\u7528\u8fd9\u4e9b\u516c\u5f0f\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1aP(A\u222aB) \u8868\u793a\u4e92\u65a5\u4e8b\u4ef6<\/strong><\/span><\/h3>\n<p><strong><span style=\"color: #000000;\">\u793a\u4f8b 1\uff1a<\/span><\/strong><span style=\"color: #000000;\">\u63b7\u9ab0\u5b50\u5f97\u5230 2 \u6216 5 \u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u89e3\u51b3\u65b9\u6848\uff1a<\/strong>\u5982\u679c\u6211\u4eec\u5c06\u4e8b\u4ef6 A \u5b9a\u4e49\u4e3a\u6eda\u52a8 2\uff0c\u4e8b\u4ef6 B \u5b9a\u4e49\u4e3a\u6eda\u52a8 5\uff0c\u90a3\u4e48\u8fd9\u4e24\u4e2a\u4e8b\u4ef6\u662f\u4e92\u65a5\u7684\uff0c\u56e0\u4e3a\u6211\u4eec\u4e0d\u80fd\u540c\u65f6\u6eda\u52a8 2<em>\u548c<\/em>5\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5f97\u5230 2 \u6216 5 \u7684\u6982\u7387\u8ba1\u7b97\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(A\u222aB) = (1\/6) + (1\/6) = 2\/6 = 1\/3\u3002<\/span><\/p>\n<p><strong><span style=\"color: #000000;\">\u793a\u4f8b 2\uff1a<\/span><\/strong><span style=\"color: #000000;\">\u5047\u8bbe\u4e00\u4e2a\u74ee\u4e2d\u6709 3 \u4e2a\u7ea2\u7403\u30012 \u4e2a\u7eff\u7403\u548c 5 \u4e2a\u9ec4\u7403\u3002\u5982\u679c\u6211\u4eec\u968f\u673a\u9009\u62e9\u4e00\u4e2a\u7403\uff0c\u9009\u62e9\u7ea2\u7403\u6216\u7eff\u7403\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u89e3\u51b3\u65b9\u6848\uff1a<\/strong>\u5982\u679c\u6211\u4eec\u5c06\u4e8b\u4ef6 A \u5b9a\u4e49\u4e3a\u9009\u62e9\u7ea2\u7403\uff0c\u4e8b\u4ef6 B \u5b9a\u4e49\u4e3a\u9009\u62e9\u7eff\u7403\uff0c\u90a3\u4e48\u8fd9\u4e24\u4e2a\u4e8b\u4ef6\u662f\u4e92\u65a5\u7684\uff0c\u56e0\u4e3a\u6211\u4eec\u4e0d\u80fd\u4e00\u6b21\u9009\u62e9\u4e00\u4e2a\u7ea2\u7403\u548c\u4e00\u4e2a\u7eff\u7403\u3002\u6240\u4ee5\u6211\u4eec\u9009\u62e9\u7ea2\u7403\u6216\u7eff\u7403\u7684\u6982\u7387\u8ba1\u7b97\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(A\u222aB) = (3\/10) + (2\/10) = 5\/10 = 1\/2\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1aP(A<\/strong><\/span> <span style=\"color: #000000;\"><strong>\u222a<\/strong><\/span> <span style=\"color: #000000;\"><strong>B) \u7528\u4e8e\u975e\u4e92\u65a5\u4e8b\u4ef6<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u8bf4\u660e\u5f53 A \u548c B \u4e0d\u662f\u4e92\u65a5\u4e8b\u4ef6\u65f6\u5982\u4f55\u8ba1\u7b97 P(A\u222aB)\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u793a\u4f8b 1\uff1a<\/strong>\u5982\u679c\u6211\u4eec\u4ece 52 \u5f20\u6807\u51c6\u724c\u4e2d\u968f\u673a\u9009\u62e9\u4e00\u5f20\u724c\uff0c\u9009\u62e9\u9ed1\u6843\u6216\u7687\u540e\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u89e3\u51b3\u65b9\u6848\uff1a<\/strong>\u5728\u672c\u4f8b\u4e2d\uff0c\u53ef\u4ee5\u9009\u62e9\u4e00\u5f20\u65e2\u662f\u9ed1\u6843<em>\u53c8\u662f<\/em>\u7687\u540e\u7684\u724c\uff0c\u56e0\u6b64\u8fd9\u4e24\u4e2a\u4e8b\u4ef6\u5e76\u4e0d\u4e92\u65a5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u6211\u4eec\u8ba9\u4e8b\u4ef6 A \u4e3a\u9009\u62e9\u9ed1\u6843\u7684\u4e8b\u4ef6\uff0c\u4e8b\u4ef6 B \u4e3a\u9009\u62e9\u7687\u540e\u7684\u4e8b\u4ef6\uff0c\u90a3\u4e48\u6211\u4eec\u6709\u4ee5\u4e0b\u6982\u7387\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(A) = 13\/52<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(B) = 4\/52<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(A\u2229B) = 1\/52<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u9009\u62e9\u9ed1\u6843\u6216\u7687\u540e\u7684\u6982\u7387\u8ba1\u7b97\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(A\u222aB) = P(A) + P(B) \u2013 P(A\u2229B) = (13\/52) + (4\/52) \u2013 (1\/52) = 16\/52 = 4\/13\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4f8b 2\uff1a<\/strong>\u5982\u679c\u6211\u4eec\u63b7\u9ab0\u5b50\uff0c\u5b83\u843d\u5230\u5927\u4e8e 3 \u7684\u6570\u5b57\u6216\u5076\u6570\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u89e3\u51b3\u65b9\u6848\uff1a<\/strong>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u9ab0\u5b50\u6709\u53ef\u80fd\u843d\u5728\u4e00\u4e2a\u65e2\u5927\u4e8e 3<em>\u53c8<\/em>\u5927\u4e8e 3 \u7684\u6570\u5b57\u4e0a\uff0c\u5e76\u4e14\u662f\u5076\u6570\uff0c\u56e0\u6b64\u8fd9\u4e24\u4e2a\u4e8b\u4ef6\u5e76\u4e0d\u4e92\u65a5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u6211\u4eec\u8ba9\u4e8b\u4ef6 A \u4e3a\u83b7\u5f97\u5927\u4e8e 3 \u7684\u6570\u5b57\u7684\u4e8b\u4ef6\uff0c\u4e8b\u4ef6 B \u4e3a\u83b7\u5f97\u5076\u6570\u7684\u4e8b\u4ef6\uff0c\u90a3\u4e48\u6211\u4eec\u6709\u4ee5\u4e0b\u6982\u7387\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(A) = 3\/6<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(B) = 3\/6<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(A\u2229B) = 2\/6<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u9ab0\u5b50\u843d\u5230\u5927\u4e8e 3 \u7684\u6570\u5b57\u6216\u5076\u6570\u7684\u6982\u7387\u8ba1\u7b97\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(A\u222aB) = P(A) + P(B) \u2013 P(A\u2229B) = (3\/6) + (3\/6) \u2013 (2\/6) = 4\/6 = 2\/3\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7ed9\u5b9a\u4e24\u4e2a\u4e8b\u4ef6A\u548cB\uff0c\u201c\u6c42A\u6216B\u7684\u6982\u7387\u201d\u610f\u5473\u7740\u6c42\u4e8b\u4ef6A\u6216\u4e8b\u4ef6B\u53d1\u751f\u7684\u6982\u7387\u3002 \u6211\u4eec\u4e00\u822c\u7528\u4e24\u79cd\u65b9\u5f0f\u6765\u5199\u8fd9\u4e2a\u6982\u7387\uff1a P [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1345","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- 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