Statistic - ProbabilityII

2007-12-30 10:08 pm
three events A,B,C in sample space S
if P(A) = 0.2 P(B) = 0.4 P(AorC) = 0.7
P(AIC) =??

answer係P(AIC) = P(A)xP(C) / P(C) = P(A) = 0.2
但係唔明,如果你畫個venn diagram出黎.
P(A given C) = P (A) = 0.2
咁係唔係話A係C入面!?
因為P(AIC) = P(A)

P(AIC)係唔係話probability of A given in C?
更新1:

咁P(A) in C = P(A) 仲唔係P(A)成個係C?

更新2:

yes they are independent sorry i forgot to tell that

回答 (1)

2007-12-30 10:50 pm
✔ 最佳答案
P(AIC) 係話probability of A ,given that C is true

"answer係P(AIC) = P(A)xP(C) / P(C) = P(A) = 0.2" ?!!

but in fact P(AIC) = P(A and C) / P(C)

AND P(A and C)= P(A )P(C) if and only if two random events A and C are statistically

independent .

are they INDEP. ?!


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