Suppose that 5% of men and 0.25% of women have grey hair. A grey haired person is selected at random. What is the probability of this person being male? Assume that there are equal number of males and females.

Explanation

To solve the problem, we will use Bayes' theorem to find the probability that a randomly selected grey-haired person is male. Here are the steps to arrive at the solution:

### Step-by-Step Solution:

1. **Define Events**:
- Let \( A \) be the event that a person has grey hair.
- Let \( B \) be the event that the person is male.

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