Two days in a row, Maya and Emmy play a series of games of Monopoly. On the first day, the probability that Maya wins is 3 5, but on the second day, the probability that Emmy wins is 4 5.
(a) On the first day, the two girls play over and over until Emmy wins her first game. What is the probability that the girls play at least 3 games?
(b) On the second day, the two girls play until Maya wins two games. What is the probability that the girls play 5 games?
(c) On which of the two days should the girls expect to play more games of Monopoly? (Don’t just guess. Justify your answer with appropriate work.)