Question: In a dice game, a Yahtzee is a result in which all five dice within a round have the same value. To simplify this problem,

In a dice game, a "Yahtzee" is a result in which all five dice within a round have the same value. To simplify this problem, assume that the five dice are just rolled one time per round. (In the actual Yahtzee game, dice can be re-rolled.) Let X be the number of times that a player gets a Yahtzee in three separate rounds. Find the variance of X.

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