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Mathematics, 09.06.2020 09:57 carls7853

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 Ii={1 if i wins, 0 otherwise}

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

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