A 5-person basketball team consists of a point guard, a shooting guard, a forward, a power forward, and a center. a) If a person is chosen at random from each of 5 different such teams, what is the probability of selecting a complete team? b) What is the probability that four of the five selected players play the same position? c) What is the probability that three of the selected players are point guards and the other two are centers?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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 A 5-person basketball team consists of a point guard, a shooting guard, a forward, a power forward, and a center.
a) If a person is chosen at random from each of 5 different such teams, what is the probability of selecting a complete team?

b) What is the probability that four of the five selected players play the same position?
c) What is the probability that three of the selected players are point guards and the other two are centers?

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