Re: [機統] 兩題機率問題請教
: 如圖片所示，有人可以把這兩題的正確算法寫給我嗎？可以奉上1000P做為回報...感謝
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: Sent from JPTT on my HTC_M910x.
1.
P(A)=1/3, P(B)=1/4, P(A∪B)=1/2 => P(A∩B)=1/3+1/4-1/2=1/12
P(A∩B')=P(A)-P(A∩B)=1/3-1/12=1/4, P(A'∩B)=P(B)-P(A∩B)=1/4-1/12=1/6
(1)
P(A'∪B')=1-P(A∩B)=1-1/12=11/12
(2)
P(A|B)=P(A∩B)/P(B)=(1/12)/(1/4)=1/3
(3)
P(A|B')=P(A∩B')/P(B')=(1/4)/(3/4)=1/3
(4)
P(A'∪B)=1-P(A'∩B)=1-1/6=5/6
2.
P(A)=3/5, P(B)=2/4, P(A∩B∩D)=1/10 (Error at statement?)
A, B, D are independent, that is, P(A)*P(B)*P(D)=P(A∩B∩D)
(1)
P(D)=P(A∩B∩D)/(P(A)*P(B))=(1/10)/((3/5)*(2/4))=1/3
(2)
P(A'∩B|D)=P(A'∩B∩D)/P(D)=(P(B∩D)-P(A∩B∩D))/P(D)=(1/6-1/10)/(1/3)=1/5
lmfao
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