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)

Question

Mathematics

Ashton Miles

4 April, 09:02

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)

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Choi · Answer 1

32+20=52 so there are 52 people in all.

32/52 people are men.

we now have to subtract 1 from this fraction like so 32-1/52-1 since the magician took away 1 man from the audience (therefore reducing the amount of men as well as the audience as a whole) resulting in 31/51

we multiply 32/52 with 31/51 to get 248/663. simply turn this fraction into a percent by multiplying the quotient by 100 and rounding it to the nearest tenth to get 37.4%