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(a) For two independent events A and B, which of the following pair of events need not be independent? 

(i) A’, B’

 (ii) A,B’ 

(iii) A’,B 

(iv) A-B, B-A 

(b) It P(A) = 0.6; P(B) = 0.7 and P(A U B) = 0.9 , then and P(A/B) and P(B/A)

1 Answer

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Best answer

(a) A – B, B – A 

(b) P(A∩B) = P(A) + P(B) -P(A∪B)

= 0.6 + 0.7 – 0.9 = 0.4

\(P(A / B)=\frac{P(A \cap B)}{P(B)}=\frac{0.4}{0.7}=\frac{4}{7}\)

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