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A hint to get started

Recover the marginal before testing independence

P(A)=0.7P(A)=0.7, P(B∣A′)=0.4P(B\mid A')=0.4 and P(A∩B)=0.28P(A\cap B)=0.28.

(i) Determine, with a reason, whether A and B are independent. marks

(ii) Find P[(A∩B)∣(A∪B)]P[(A\cap B)\mid(A\cup B)]. marks

[2014/YJC/II/10(a)]

CJC · Review problems · Question 2

First split B into its parts inside and outside A.

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