used to exclaim excitement when a University of Kentucky football recruit commits to attending the school. What is the probability you will end up with at least three 6's? The strategy to maximize the chance of getting a three-of-a-kind involves keeping any three-of-a-kind that is rolled. For instance if a player throws 15566 in the first round they will keep 66 but if the 6s box was used in the first round and they throw 15566 in the second round they will naturally keep 55 instead. It introduced Yahtzee bonuses and the Joker rule. The score is the total of the five huggeri oslo dice. After the first roll you can choose whether to keep the number you got or re-roll. According to current owner. The probability of scoring 1,575 (if that was the sole objective) is less than this since to score the maximum one would need at least one of each number (after the first round) to fill the Upper Section and a further three 6 Yahtzees.

### The Probability of Rolling a Yahtzee - ThoughtCo

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What follows is a solution to a smaller problem; I don't have a good way to determine the probabilities of exactly k of some kind being the most of any kind on the first roll, but the work below could be used from that point. If he has any of the following he will put it in the appropriate Lower Section box: Yahtzee, full house, large straight, small straight. If a small straight is rolled, keep it and re-roll the fifth die. Chance: Score in this box with any combination. These are the simplest situations to analyse, although even at this late stage the strategy may vary depending on the game situation. Suppose you roll 6, 6, 5, 2, 1 the first time, and re-roll all non 6's on the next two tries. For the full house, small straight, and large straight boxes, this means scoring 25, 30, or 40 points respectively (even though you did not actually roll the corresponding combination).