Back to 4.4 Problems on Independence of Events

4.4 Exercise 21

Avg difficulty 2.5

Two teams of students take a probability exam. The entire group performs individually and independently. Team 1 has five members and Team 2 has six members. They have the following indivudal probabilities of making an `”A” on the exam.

Team 1: 0.83 0.87 0.92 0.77 0.86 Team 2: 0.68 0.91 0.74 0.68 0.73 0.83

  1. What is the probability team 1 will make at least as many A's as team 2?
  2. What is the probability team 1 will make more A's than team 2?

Pfeiffer, Applied Probability, 4.4 Problems on Independence of Events, exercise 21

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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.