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A fair die is rolled independently for n times. We say a tie occurs at the mth roll if the outcome at the mth roll
A fair die is rolled independently for n times. We say a "tie" occurs at the mth roll if the outcome at the mth roll is the same as the outcome at the (m 1)th roll. For example the sequence of outcomes 3446111522 results in four ties. Let X be the total number of ties among n rolls. Find EX and V ar(X)
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