Evaluate `P(AuuB)`, if `2P(A) = P(B) =5/(13)`and `P(A|B) =2/5`

Explanation

To solve the problem, we need to evaluate \( P(A \cup B) \) given the conditions:

1. \( 2P(A) = P(B) = \frac{5}{13} \)
2. \( P(A|B) = \frac{2}{5} \)

### Step 1: Find \( P(A) \)

From the first condition, we can express \( P(B) \) in terms of \( P(A) \):
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