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 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

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

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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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