. At a certain university, 20% of all students are freshmen, 18% are sophomores, 21% are juniors,
and 41% are seniors. As part of a promotion, the university bookstore is running a raffle for which
all students are eligible. Ten students will be randomly selected to receive prizes (in the form of
textbooks for the term).
(a) What is the probability the winners consist of two freshmen, two sophomores, two juniors,
and four seniors?
(b) What is the probability the winners are split equally among underclassmen (freshmen and
sophomores) and upperclassmen (juniors and seniors)?
(c) The raffle resulted in no freshmen being selected. The freshman class president complained
that something must be amiss for this to occur. Do you agree? Explain.