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Suppose 5 men and 7 women are on a crowded elevator. At the next floor, four people get off the elevator. Find the probability that exactly one woman left the elevator.

 Jan 13, 2020
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The total number of sets of 4 people   is given  by   C(12, 4)  = 495

 

The numer that contain exactly 1  woman   =  C(5,3) * C(7,1)  = 70

 

So...the probability is       70 / 495  = 14 / 99

 

 

cool cool cool

 Jan 13, 2020

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