Brisson is getting dressed for work and is considering his options for a shirt, a tie, and a pair of slacks to wear. He has shirts available in white, pink, and yellow. He has ties available in red, gray, and blue. He has pairs of slacks available in navy and khaki.

a) How many different options for a shirt, a tie, and a pair of slacks does Brisson have?

b) Construct a tree diagram and list the sample space.

Assuming all options are equally likely, what is the probability that Brisson chooses

c) A white shirt, a red tie, and a navy pair of slacks?

d) A gray tie?

e) A shirt other than a white shirt?

Use the fundamental counting principle to determine the answer to part (a). Assume that each event is equally likely to occur.