If `P(A)=2/5,P(B)=3/10andP(AcapB)=1/5` then P(A'/B')`cdot`P(B'/A') is equal to

Options

A. `5/6`
B. `5/7`
C. `25/42`
D. 1

Explanation

To solve the problem, we need to find \( P(A'|B') \cdot P(B'|A') \) given the probabilities \( P(A) = \frac{2}{5} \), \( P(B) = \frac{3}{10} \), and \( P(A \cap B) = \frac{1}{5} \).

### Step 1: Calculate \( P(A \cup B) \)

Using the formula for the union of two events:

\[
P(A \cup B) = P(A) + P(B) - P(A \cap B)
...