Chapter 12, Problem 27CCSR

Solution

To find: The fair decision made by the coach of high school debate team to choose $4$ of $6$ members.

Given information:

The coach of a high school debate team must choose $4$ of the $6$ members to represent the team at a state level competition. Each of the team members is equally qualified for the competition. Use probability concepts to describe how the coach can make his decision fairly. Describe why your method is fair.

Explanation:

A probability experiment may be considered fair if all outcomes are equally likely or if expected value of some random variable is $0$ .

To make it a truly random choice, the coach should use random number generator. He should assign each of the $6$ team members a number from $1$ to $6$ . Then, he should use graphing calculator to produces a given number of random integers between two integers. In this way, he can choose $4$ members to make his decision a fair choice.