# Question

Consider the following dice game, as played at a certain gambling casino: Players 1 and 2 roll a pair of dice in turn. The bank then rolls the dice to determine the outcome according to the following rule: Player i, i = 1, 2, wins if his roll is strictly greater than the bank’s. For i = 1, 2, let

and show that I1 and I2 are positively correlated. Explain why this result was to be expected.

and show that I1 and I2 are positively correlated. Explain why this result was to be expected.

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