e DoHomework Kenneth Newsome-internet Explorer 227 17 STA 220 Larson 6e Watts-BO

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e DoHomework Kenneth Newsome-internet Explorer 227 17 STA 220 Larson 6e Watts-BOZD 82032 Save Homework: Homework 2 Score: 0 of 1 pt 94 of 128 (104 complete) v HW Score: 78.44%, 100.4 of 128 pts (x 3.4.39 Question Acommillee has eight members. There are three members that currently serve as the board's charman, vice chairman, 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, vice chairman, and treasurer What is the probabilty of randomly selecting tho throe members who currently hold the positions ot chairman, vice chairman, and treasurer and reassigning them to their current positions? The probabiltyisD (Round to four decimal places es needed) Enter your answer in the answer box and then cick Check Answer, parts showing E O

Explanation / Answer

Selecting 3 persons from 8 can be done in 8C3 ways and asigning them 3 roles can be done in 3! ways

Hence, total possible combinations are 8C3 * 3!

Selecting the existing 3 and asigning them respective roles can be done in 1 way.

Hence, probability = 1 / (8C3 * 3!)

= 0.0029

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