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Back to 3.2 Problems on Conditional Probability

3.2 Exercise 6

Avg difficulty 2.5

Four persons are to be selected from a group of 12 people, 7 of whom are women.

  1. What is the probability that the first and third selected are women?
  2. What is the probability that three of those selected are women?
  3. What is the (conditional) probability that the first and third selected are women, given that three of those selected are women?

Pfeiffer, Applied Probability, 3.2 Problems on Conditional Probability, exercise 6

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.