If A and B are two events such that P(A)=`1/2,P(B)=1/3and P(A//B)=1/4 then P ( A ' ∩ B ' ) is equals to `

Options

A. `1/12`
B. `3/4`
C. `1/4`
D. `3/16`

Explanation

To solve the problem, we need to find \( P(A' \cap B') \) given the probabilities of events \( A \) and \( B \) and the conditional probability \( P(A|B) \).

### Step-by-Step Solution:

1. **Identify the Given Values**:
- \( P(A) = \frac{1}{2} \)
- \( P(B) = \frac{1}{3} \)
- \( P(A|B) = \frac{1}{4} \)
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