A committee has five members. There are three members that currently serve as the board's chairman, ranking member, and treasurer. Each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman, ranking member, and treasurer. What is the probability of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current positions?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A committee has five members. There are three members that currently serve as the board's chairman, ranking member, and treasurer. Each
member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman,
ranking member, and treasurer. What is the probability of randomly selecting the three members who currently hold the positions of chairman,
ranking member, and treasurer and reassigning them to their current positions?
The probability is
(Round to four decimal places as needed.)
Transcribed Image Text:A committee has five members. There are three members that currently serve as the board's chairman, ranking member, and treasurer. Each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman, ranking member, and treasurer. What is the probability of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current positions? The probability is (Round to four decimal places as needed.)
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