Find the indicated probability. Express answers as decimals.
-Among the contestants in a competition are 35 women and 25 men. If 5 winners are randomly selected, what is the probability that they are all men?
A)0.16366
B)0.18593
C)0.06754
D)0.00973

Question

Quizplus · Accepted Answer

The probability of selecting 5 men out of a total of 60 contestants (35 women + 25 men) without replacement is calculated using combinations. The probability is the number of ways to choose 5 men out of 25 divided by the number of ways to choose 5 people out of 60: $P = \frac{{25 \choose 5}}{{60 \choose 5}} = 0.00973$.

Find the Indicated Probability. Express Answers as Decimals