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

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