Question: 10. Consider the game where two dice, die A and die B, are rolled. We say that die A wins, and write A > B,

10. Consider the game where two dice, die A and die B, are rolled. We say that die A wins, and write A > B, if the outcome of rolling A is larger than that of rolling B. If both rolls result in the same number it is a tie.

(a) Find the probability of a tie.

(b) Find the probability that die A wins.

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