Question

Suppose that the population of a certain townis made up of 45% of men and 55% of women. Of the men, 40% wear glasses, abd of the women, 20% wear glasses. Given that a person chosen at random from the town wears glasses, what is the probability that the person is a woman?

Answer 1

Probability: 11 out of 29;
or 37.9310345%.

Method: Take a sample of 100.
45 are men; 40% or 18 men wear glasses
55 are women; 20% or 11 women wear glasses.
So out of 100, 18+11=29 wear glasses out of which 11 are women.
Probability: 11 out of 29