A committee of 4 people is chosen from 5 men and 6 women. What is the probability that the committee contains exactly 2 men and 2 women?
Answer and explanation
Correct answer: C.
- Step 1: Total ways to choose 4 people from 11: .
- Step 2: Ways to choose 2 men from 5: .
- Step 3: Ways to choose 2 women from 6: .
- Step 4: Favorable outcomes: .
- Step 5: Probability: .
Answer
5/11.
Why not the others: '' uses alone; '' is the complement of another event.
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