Question

A magician is performing for an audience of 32 men and 20 women. He selects a volunteer from the audience, has the volunteer stand behind a curtain, and then selects another volunteer. What is the probability that both volunteers are men? (shown as a percent)
OPTIONS:

A. 37.4%


B. 61.5%


C. 32%


D. 37.9%

Answer 1

The correct answer is A) 37.4%.

The probability that the first volunteer is a man would be 32/52, since there are 32 men out of 52 people.  The probability that the second volunteer would also be a man would be 31/51, since there is 1 fewer man and 1 fewer person total to choose from.

32/51(31/51) = 992/2652 = 0.374 = 37.4%.