.1 The highest score in a game of dice (a) A random variable X is defined as the larger of the scores obtained in two throws of an unbiased, six-sided, die. Show that (2x - 1) Pr(X = x) = x = 1, 2, . . .,6. 36 (b) A random variable Y is defined as the highest score obtained in k independent throws of an unbiased, six-sided, die. Find an expression for the probability function of Y.

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