1. In the American League, the East, Central, and West divisions each consists of five teams. A...

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1. In the American League, the East, Central, and West divisions each consists of five teams. A sportswriter predicts the winner of each of the three divisions by choosing a team completely at random in each division. What is the probability that the sportswriter will predict at least one winner correctly?
2. Suppose that the sportswriter in Exercise 1 eliminates from each division one team that clearly has no chance of winning and predicts a winner at random from the remaining teams. Assuming that the eliminated teams don't end up surprising anyone, what is the writer's chance of predicting at least one winner?
3. Suppose that the sportswriter in Exercise 1 simply puts the 15 team names in a hat and draws 3 completely at random. Does this increase or decrease the writer's chance of picking at least one winner?
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Finite Mathematics and Its Applications

ISBN: 978-0134768632

12th edition

Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

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