For Purposes of Making On-Campus Housing Assignments, a College Classifies

Essay

For purposes of making on-campus housing assignments, a college classifies its students
as Priority A (seniors), Priority B (juniors), and Priority C (freshmen and sophomores). Of
the students who choose to live on campus, 10% are seniors, 20% are juniors, and the rest
are underclassmen. The most desirable dorm is the newly constructed Gold dorm, and 60%
of the seniors elect to live there. 15% of the juniors also live there, along with only 5% of the
freshmen and sophomores. What is the probability that a randomly selected resident of the
Gold dorm is a senior? Show your work clearly on the back of this page.