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.)

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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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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