Question: 1. A class consists of 30 students, of which 20 are freshmen and 10 are sophomores. If 5 students are selected at random, what is the probability that they will all be sophomores?
2. An urn containing an infinite number of balls has a proportion p of red balls, and the remaining portion 1 - P of black balls. Two balls are chosen at random. What value of p will yield the highest probability of obtaining one red ball and one black ball in any order?