Compute the Probabilities of Hypergeometric Experiments
-Among the contestants in a competition are 35 women and 21 men. If 5 winners are randomly selected, what is the probability that they are all men
A) 0.00533
B) 0.06268
C) 0.09537
D) 0.07776

Question

Quizplus · Accepted Answer

The probability of selecting all men can be calculated using the hypergeometric distribution formula, which is the number of ways to choose all men divided by the total number of ways to choose any 5 winners. This is calculated as (21C5)/(56C5) = 0.00533.