A committee of 3 people is to be chosen from a group of 5 men and 4 women. What is the probability that the committee will consist of exactly 2 men and 1 woman?

A 10/21

B 5/14

C 3/7

D 2/9

✓ Correct Answer: Option A

Total ways to choose 3 from 9 people is C(9,3) = 84. Ways to choose 2 men from 5 is C(5,2) = 10. Ways to choose 1 woman from 4 is C(4,1) = 4. Favorable outcomes = 10 * 4 = 40. Probability = 40/84 = 10/21.

💡 Why is A) the correct answer?

The correct answer to the question "A committee of 3 people is to be chosen from a group of 5 men and 4 women. What is the probability that the committee will consist of exactly 2 men and 1 woman?" is Option A: 10/21.

The other options — B) 5/14, C) 3/7, D) 2/9 — are incorrect for this GRE Exam Prep question. As explained above: Total ways to choose 3 from 9 people is C(9,3) = 84. Ways to choose 2 men from 5 is C(5,2) = 10. Ways to choose 1 woman from 4 is C(4,1) = 4. Favorable outcomes = 10 * 4 = 40. Probability = 40/84 = 1…

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This 4-level GRE Exam Prep question from the Quantitative Reasoning topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free GRE Exam Prep practice test or use flashcards for spaced repetition review.

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A committee of 3 people is to be chosen from a group of 5 men and 4 women. What is the probability that the committee will consist of exactly 2 men and 1 woman?

✓ Correct Answer: Option A

📚 About This GRE Exam Prep Practice Question

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