Question

Let X and Y be two events such that  P(X) = 1/3, P(X|Y) = 1/2 and P(Y|X) = 2/5. Then

(A) P(Y) = 4/15

(B) P(X'|Y) = 1/2

(C) P(X ∩ Y) = 1/5

(D) P(X ∪ Y) = 2/5

Answer 1

Answer is (A), (B)

It is given that

Substituting all values, we get