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Let A and B be two events such that PAB=0.20PAB=0.15,PAB=0.1, then P(A/B) is equal to

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11/14
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2/11
c
2/7
d
1/7

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detailed solution

Correct option is A

PA∩B′=P(A)−P(A∩B)=0.20Also,       PA′∩B=P(B)−P(A∩B)=0.15⇒   P(A)+P(B)−2P(A−B)=0.35Now,        PA′∩B′=1−P(A∪B)⇒   0.1=1−P(A)−P(B)+P(A∩B)⇒   P(A)+P(B)−P(A∩B)=0.9⇒   P(A∩B)=0.9−0.35=0.55and  P(A)=0.75,P(B)=0.70Now,        P(A/B)=P(A∩B)P(B)=0.550.70


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