[機統] 獨立事件問題

看板Math作者 (Guardian)時間10年前 (2015/03/29 16:37), 編輯推噓1(106)
留言7則, 3人參與, 最新討論串1/2 (看更多)
題目:Let A, B, and C be three events. Suppose that A does not tell us anything about C, and B does not tell us anything about C. Therefore, we can conclude that A and B do not tell us anything about C. 看起來意思好像是A C獨立 B C獨立能不能推出A and B與C獨立,其實我有點不懂A and C的意思是交集的意思嗎? 就算他是交集,我也不會這題... 謝謝各位了QQ -- ※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 111.251.189.82 ※ 文章網址: https://www.ptt.cc/bbs/Math/M.1427618258.A.8EA.html

03/29 16:46, , 1F
(A連集B)交集C
03/29 16:46, 1F

03/29 16:49, , 2F
是歐..是聯集不是交集?如果聯集是and那交集什麼呢?
03/29 16:49, 2F

03/30 01:19, , 3F
若 P(C|A) = P(C) 且 P(C|B) = P(C), 那是否
03/30 01:19, 3F

03/30 01:20, , 4F
P(C|A∩B) = P(C)?
03/30 01:20, 4F

03/30 01:22, , 5F
反例: 考慮丟公正銅板2次, A: 第一次結果是正面,
03/30 01:22, 5F

03/30 01:23, , 6F
B: 兩次結果一樣, C: 第2次結果是正面.
03/30 01:23, 6F

03/30 06:56, , 7F
喔喔 感謝!!!
03/30 06:56, 7F
文章代碼(AID): #1L5xdIZg (Math)
文章代碼(AID): #1L5xdIZg (Math)