Exercise 2. In this question it is fine to use a calculator or computer to express your answers as decimals, rather than as fractions. In class we played a game in which two players, whom we shall call A and B, form two random variables X] and X2 by each rolling two dice. X1 (A's r.v.) is the sum of the two numbers shown on the dice. X2 (B's r.v.) is 1.5 times the large of the two numbers shown. (a) Calculate the probability that A beats B in a round of the game. (b) Calculate the probability that A and B get equal scores. (c) Given that one player wins, calculate the conditional probability that the winning player is A