Given that the events A and B are such that `P (A) =1/2`, `P(AnnB)=3/5`and `P(B) = p`. Find p if they are (i) mutually exclusive (ii) independent.

Explanation

To solve the problem, we need to find the value of \( p \) under two conditions: (i) when events A and B are mutually exclusive, and (ii) when events A and B are independent.

### Given:
- \( P(A) = \frac{1}{2} \)
- \( P(A \cup B) = \frac{3}{5} \)
- \( P(B) = p \)

### (i) When A and B are mutually exclusive:
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