If A and B be two events such that P(A)`=3/8,P(B)=5/8` and `P(AcupB)=3/4` then P(A/B).P(A'/B) is equal to

Options

A. `2/5`
B. `3/8`
C. `3/20`
D. `6/25`

Explanation

To solve the problem, we need to find \( P(A/B) \cdot P(A'/B) \) given the probabilities:

- \( P(A) = \frac{3}{8} \)
- \( P(B) = \frac{5}{8} \)
- \( P(A \cup B) = \frac{3}{4} \)

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

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