Question

Suppose 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 is an equal number of males and females. Select the correct answer from above options

Answer 1

Let MG : Men having grey hair WG: Women having grey hair G : Having grey hair Given an equal number of males and females. So let’s assume both the probability be \(\frac{1}{2}\) We want to find P(MG|G), i.e. probability of a randomly selected grey person to be male Conclusion: Therefore, the probability of a randomly selected grey person to be male is \(\frac{20}{21}\)