Let $A$ and $B$ be events, $P(A) = \frac{1}{4} $, $P(A\cup B) = \frac{1}{3} $ and $ P (B) = p $.
- Find $p$, if $A$ and $B$ are mutually exclusive.
- Find $p$, if $A$ and $B$ are independent.
- Find $p$, if $A$ is a subset $B$.
Can someone help me to solve it?