Q4 of 36 Page 1

If A and B are two events such that P(A)=0.2, P(B)=0.4 and P(A ∪ B)=0.5 , then value of P(A/B) is ?

Given: P(A)=0.2, P(B)=0.4 and P(A ∪ B)=0.5


To Find: P(A/B)


We know, P(A ∪ B) = P(A) + P(B) – P(A ∩ B)


P(A ∩ B) = P(A) + P(B) – P(A ∪ B) = 0.2 + 0.4 – 0.5 = 0.1


We also know,


So, P(A/B) = = = 0.25.

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