The student council for a school of science and math has one representative from each of five academic departments: Biology (B), Chemistry (C), Mathematics (M), Physics (P), and Statistics (S). Two of these students are to be randomly selected for inclusion on a university wide student committee.
a. What are the 10 possible outcomes?
b. From the description of the selection process, all outcomes are equally likely. What is the probability of each outcome?
c. What is the probability that one of the committee members is the statistics department representative?
d. What is the probability that both committee members come from laboratory science departments?