单选题
There are six members on a committee, four women and two men. They agree to randomly pull two names out of a hat to serve as Chair and Secretary for the group. What is the probability that both of the men are chosen? Give the probability as a fraction in lowest terms.
【正确答案】
【答案解析】Since there are 6 names in the hat, and 2 are men, the probability that the first name drawn is a man is 
. Then, of the remaining 5 names in the hat, only 1 is a man, so the chances that he will be chosen are 1 in 5. To find the probability of both events occurring, take 
.
. Then, of the remaining 5 names in the hat, only 1 is a man, so the chances that he will be chosen are 1 in 5. To find the probability of both events occurring, take .