Q:

Adam, Jack and Sheila have been elected to the Board of Directors for a community organization. The president and vice president are randomly selected from these people by drawing their names from a hat. What is the probability that Jack will be selected first for president and Sheila will be selected second for vice president?

Accepted Solution

A:
The probability is 1/6.

There is a 1/3 chance he will be elected president.  After his name is drawn, there are only 2 remaining; this makes the probability she is vice-president 1/2.  Together we have

(1/3)(1/2) = 1/6