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Yahtzee® is a game played with five six-sided dice. Players take turns rolling the dice, trying to get certain combinations of 1s, 2s, 3s, etc. Players may roll the dice up to three times during each turn and are permitted to set aside any subset of the five dice after each roll.
A player rolls the following combination on the first roll: 2, 2, 3, 4, 5. If the player keeps the 2, 3, 4 & 5, what is the probability of obtaining a large straight (the numbers of all five dice fall in a consecutive sequence) in the two remaining rolls?
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