Fpr purposes of making on-campus housing assignments, a college classifies its students as Priority A niors), 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 dormis the newly constructed Gold dorm, and 60% of the seniors elect to live there 15% of the Juniors alo 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?