An Economic Department at a state university with five faculty members-Anderson, Box, Cox, Carter, and Davis-must select two of its members to serve on a program review committee. Because the work will be time-consuming, no one is anxious to serve, so it is decided that the representative will be selected by putting five slips of paper in a box, mixing them, and selecting two.
a. What is the probability that both Anderson and Box will be selected?
b. What is the probability that at least one of the two members whose name begins with C is selected?