Problem 7. A and 13 roll a pair of dice in turn, with A rolling rst. A's objective is to obtain a sum of 5 and B's objective is to obtain a sum of 7. The game ends when either player reaches his or her objective, and that player is declared as the winner. Compute the probability that A is the wmner. Problem 8. A and B roll a pair of dice in turn, with A rolling rst. A's objective is to obtain a sum of 6 and B's objective is to obtain a sum of 7. The game ends when either player reaches his or her objective, and that player is declared as the wirmer. Compute the expected number of turns tmtil the game is over