question_answer 74)

Suppose that 5% of men and 0.25% of women have grey hair. A 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.  

Answer:

Let E1 and E2 are the events of selection of male and female respectively.       And A = event of selection of grey haired person       We have P(E1) = P(E2) =                   Required Probability = P(E1/A)