Among the contestants in a competition are 50 women and 29 men.If 5 winners are randomly selected,what is the probability that they are all men? Round your answer to five decimal places.

Question

Quizplus · Accepted Answer

The probability of selecting a man in first draw = 29/79
The probability of selecting a man in second draw = 28/78 (since one man has already been selected in the first draw and the total number of people remaining for the second draw is 78)
The probability of selecting a man in third draw = 27/77 
The probability of selecting a man in fourth draw = 26/76
The probability of selecting a man in fifth draw = 25/75

Now, we need to find the probability of all men being selected, which is obtained by multiplying probabilities of all five draws taking place.

Therefore, the required probability = (29/79) x (28/78) x (27/77) x (26/76) x (25/75) = 0.00527 (rounded to five decimal places)

Hence, the best choice is C.

Among the Contestants in a Competition Are 50 Women and 29