Suppose that 5 % of men and 0.25 % of women have gray hair. A gray hair person is selected at random. If there are equal number of males and females, then the probability that the person selected being men is

Step-by-step solution

A grey haired person is selected at eandom, the probability that this person is male = P ( M / G ) Here M is men, W is women, G is grey hair. aligned P ( M / G ) &= P ( M ) P ( G / M ) P ( M ) P ( G / M )+ P ( W ) P ( G / W ) &= 1 2 5 100 ( 1 2 5 100 )+ ( 1 2 0.25 100 ) = 20 21 aligned