A committee has ten members. There are two members that currently serve as the board's chairman...
A committee has ten members. There are two members that currently serve as the board's chairman and vice chairman. Each member is equally likely to serve in any of the positions. Two members are randomly selected and assigned to be the new chairman and vice chairman.
What is the probability of randomly selecting the two members who currently hold the positions of chairman and vice chairman and reassigning them to their current positions?
Homework Answers
Number of ways of total selections and assignments possible = 10P2 = 10! / (10 - 2)! = 10! / 8! = 90
In this, there will be only one way of randomly selecting the two members who currently hold the positions of chairman and vice chairman and reassigning them to their current positions. Hence,
Required probability = 1/90
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