Suppose that at UVA 75 of all undergraduates are in the Coll

Suppose that at UVA, 75% of all undergraduates are in the College, 11% are in Engineering, 8% are in Commerce, 3% are in Nursing, and 3% are in Architecture. In each school, the percentage of females is as follows: 58% in the College, 26% in Engineering, 47% in Commerce, 90% in Nursing, and 31% in Architecture. If a randomly selected student is male, what is the probability that he\'s from the College?

Solution