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Let $A$ and $B$ be events, $P(A) = \frac{1}{4} $, $P(A\cup B) = \frac{1}{3} $ and $ P (B) = p $.

  1. Find $p$, if $A$ and $B$ are mutually exclusive.
  2. Find $p$, if $A$ and $B$ are independent.
  3. Find $p$, if $A$ is a subset $B$.

Can someone help me to solve it?

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    Though there are hints now, what have you tried? Please tag the home work questions as such; don't worry--you'll get well thought out hints that should help you complete the solution. Regards,2012-05-04
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    It's curious how much this reminds me of [this problem](http://math.stackexchange.com/questions/12941/nice-puzzle-100-bread-rings-and-two-bags) where several people agreed that the solution was "not mathematical".2012-05-04

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