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In the game of Yahtzee®, players roll five dice simultaneously to try to make certain combinations. In a single turn, a player may roll up to three total times. On the first roll, the player rolls all five dice. On subsequent rolls, the player may choose to roll any number of the five dice (keeping dice by leaving selected unrolled dice on the table). If a players first roll results in exactly three 5s (e.g., 2-5-5-3-5), what is the probability that the player will end the turn with a Yahtzee of 5s (i.e., 5-5-5-5-5)? Assume that the player keeps the three 5s rolled on the first roll and keeps any 5s rolled on the second roll.

math   Statistics-And-Probability   
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