Find the indicated probability.
-Among the contestants in a competition are 46 women and 23 men. If 5 winners are randomly selected, what is the probability that they are all men? Round to five decimal places.
A) 0.02455
B) 0.13169
C) 0.00299
D) 0.03125

Question

Quizplus · Accepted Answer

The total number of contestants is 69 (46+23). The number of ways to choose 5 winners out of 69 contestants is (69 choose 5). The number of ways to choose 5 men out of 23 is (23 choose 5). Therefore, the probability of choosing 5 men is:

(23 choose 5)/(69 choose 5) = 0.00299 (rounded to five decimal places).

Therefore, the correct answer is C).

Find the Indicated Probability