1. Exactly 100 employees of a firm have each purchased one ticket in a lottery, with the
drawing to be held at the firm’s annual party. Of 80 men who purchased a ticket, 25 are
single. Only 4 of the women who purchased a ticket are single.
(a) Complete a probability table for this situation. (10 pts.)
(b) If the winner is single, what is the probability that she is a woman? (10 pts.)
(c) If the winner is married, what is the probability that he is a man? (10 pts.)