If `P(A)=3/10,P(B)=2/5 and P(AcupB)=3/5` then P(B/A)+P(A/B) equals to

Options

A. `1/4`
B. `1/3`
C. `5/12`
D. `7/12`

Explanation

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

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

We can use the formula for the probability of the union of two events:

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