Given that the events A and B are such that $P(A) = \large \frac{1}{2} , P (A \cap B) = \large \frac{3}{5}$ and $P(B) = p$. Find p if they are (i) mutually exclusive (ii) independent.

Question

$\begin{array}{1 1} (i) 1/10, (ii) 1/5 \\(i) 1/10, (ii) 2/5 \\ (i) 3/5, (ii) 2/5 \\ (i) 3/5, (ii) 1/5\end{array}$