Re: [中學] 條件機率獨立問題
※ 引述《joyfound (羊)》之銘言:
: ※ 引述《nicewine1 (舉杯邀明月)》之銘言:
: : ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
: : 如上所述 A 事件與B事件為獨立事件即 P(AB) = P(A)*P(B)
: : 但C事件與 A 事件以及 B 事件並非獨立事件
: : P(A) = 1/2 , P(C) = 1/2 , P(AC) = 1/2 不等於 P(A)*P(C)
: : 事件A與事件C並非兩兩獨立
: : 事件B與事件C亦非兩兩獨立
: 骰兩次總共有6x6=36種結果
: AC 有 21 23 25 41 43 45 61 63 65 九種符合的
: 所以9/36 = 1/4
: 不知道你的1/2怎麼來的
: BC則是幾乎同理 很類似
: 懇求你解釋一下我錯在哪裡?
~~~~~~~~~~~~~~~~~~~~~~~~~~~
應該這麼說 A事件為第一個骰子為偶數 B事件為第二個骰子為偶數
在A事件與B事件皆成立時 C事件(兩個骰子和為奇數)成立的機率為0
A事件與B事件為獨立事件P(AB) = P(A)*P(B)
但P(ABC)=0 不等於 P(A)*P(B)*P(C)
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