Question
The game of Yahtzee is played with five fair dice. Some possible hands: Yahtzee (all five dice showing the same number) or a full house
The game of Yahtzee is played with five fair dice. Some possible "hands": Yahtzee (all five dice showing the same number) or a full house (three of a kind and two of a kind), a small straight (4 of the 5 dice all in a row (for example, [1, 2, 3, 4, 6]), large straight (all five dice are in a row, ex: [1,2,3,4,5]). In the first round, the player rolls all five dice. Based on the first roll, the player has a second and third round to re-roll any subset of the dice to get what they want.
a) Suppose that, on the second round, the dice are {2, 3, 4, 6, 6}. The player decides to re-roll both sixes in the third round. What is the probability that they roll either a small straight OR a large straight?
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