Probability · Question 27 · Hard

A committee of 3 is chosen at random from 5 men and 4 women. What is the probability that it includes at least one woman?

  1. 37/42
  2. 5/42
  3. 10/21
  4. 4/9
Answer and explanation

Answer: A. 37/42

Explanation: P(no woman) = 5C3/9C3 = 10/84 = 5/42. So P(at least one woman) = 1 − 5/42 = 37/42.

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