Six men and four women are semifinalists in a lottery. From this group, three finalists are to be selected by a drawing. What is the probability that all four finalists will be men? Round your answer to three decimal places.
A)0.071
B)0.571
C)0.005
D)0.667
E)0.600

Question

Six men and four women are semifinalists in a lottery. From this group, three finalists are to be selected by a drawing. What is the probability that all four finalists will be men? Round your answer to three decimal places. ​
A)0.071
B)0.571
C)0.005
D)0.667
E)0.600

Quizplus · Accepted Answer

There are 10 people in the group, so there are 10C3 ways to choose 3 finalists. There are 6 men in the group, so there are 6C3 ways to choose 3 men. Therefore, the probability of choosing 3 men is 6C3 / 10C3 = 20 / 120 = 1 / 6 = 0.167.

Six Men and Four Women Are Semifinalists in a Lottery