A college professor was assigned to a committee of six people, composed of four men and two women. The committee selected two officers to carry out the majority of its administrative work, and both of the women were selected. The professor wondered whether or not this constituted evidence of subtle discrimination, so she considered how unlikely such an event would be if the two officers had been chosen at random from the six committee members.
a. Suppose the six committee members are named Alice, Bonnie, Carlos, Danny, Evan, and Frank. Put the following steps of how you might use a fair, six-sided die to simulate the random selection of two people to be officers for this committee in order.
i. Assign each person a number. ii. Roll the die twice to decide the committee members. iii. If you roll the same number, ignore the second roll.
iv. Roll again until you get a unique second committee member.