A husband and wife appear in an interview for two vacancies for the same post. The probability of husband’s selection is 1/7 and that of wife’s selection is 1/5. What is the probability that Both of them will be selected? Only one of them will be selected? None of them will selected?

Explanation

To solve the problem, we will calculate the probabilities for three scenarios: both the husband and wife being selected, only one of them being selected, and none of them being selected.

### Given:
- Probability of husband's selection, \( P(H) = \frac{1}{7} \)
- Probability of wife's selection, \( P(W) = \frac{1}{5} \)

### Step 1: Calculate the probability that both of them will be selected.

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