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.
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.

Solution:

Given that, 5 \% of men and 0.25 \% of women have grey hair

\therefore Total \% of people having grey hair =5+0.25

=5.25 \%

Hence, the Probability of having a selected person male having grey hair, \mathrm{P}=5 / 25=20 / 21