Question

Let X and Y be two events such that P(X) = $\frac{1}{3}$ , P(X|Y) = $\frac{1}{2}$ and P (Y|X) = $\frac{2}{5}$ . Then
(A) P(Y) = $\frac{4}{15}$
(B) $P(X^{'} | Y)$ = $\frac{1}{2}$
(C) $P(X \cap Y)$ = $\frac{1}{5}$
(D) $P(X \cup Y)$ = $\frac{2}{5}$

Answer 1

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