Let X and Y be two events such that $$P(X) = \frac{1}{3}, P(X \mid Y) = \frac{1}{2}$$ and $$P(Y \mid X) = \frac{2}{5}$$. Then

A

$$P(Y) = \frac{4}{15}$$

B

$$P(X' \mid Y) = \frac{1}{2}$$

C

$$P(X \cap Y) = \frac{1}{5}$$

D

$$P(X \cup Y) = \frac{2}{5}$$