Abby, Brenda, and Cameron; three candidates for the presidency of a college's student body, are to address a student forum. The forum's organizer is to select the order in which the candidates will give their speeches, and must do so in such a way that each possible order is equally likely to be selected.
a. What is the random experiment?
b. List the outcomes in the sample space.
c. Assign probabilities to the outcomes.
d. What is the probability that Cameron will speak first?
e. What is the probability that one of the women will speak first?
f. What is the probability that Abby will speak before Cameron does?