R6

4. (12%) Game of craps The rule of game of craps is as follows: you throw two dice. In the first throw, you win if the sum is 7 or 11; you lose if the sum is 2, 3, or 12,; and there is a tie if you get 4, 5, 6, 8, 9, or 10 and the number you get from the first throw is referred to as the number in the future throws. (a) Compute the probability of losing in the 2"d throw. (b) Compute the probability of winning in the 3" throw