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A fair four-sided die, with the sides numbered 1, 2, 3, and 4 is rolled repeatedly until the same number appears a second time. Let

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A fair four-sided die, with the sides numbered 1, 2, 3, and 4 is rolled repeatedly until the same number appears a second time. Let X be the number of rolls that have occurred at the time this happens. (For example, if you roll 2, 3, 4, 2, then X=4 because the repeated number occurs on the fourth roll.) Find E (X )

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