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Back to 3.2 Problems on Conditional Probability

3.2 Exercise 5

Avg difficulty 2.5

Two fair dice are rolled.

  1. What is the (conditional) probability that one turns up two spots, given they show different numbers?
  2. What is the (conditional) probability that the first turns up six, given that the sum is k, for each k from two through 12?
  3. What is the (conditional) probability that at least one turns up six, given that the sum is k, for each k from two through 12?

Pfeiffer, Applied Probability, 3.2 Problems on Conditional Probability, exercise 5

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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.