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.

Question

Philoid · Accepted Answer

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

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