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It is possible to calculate the maximum average score with different rules. When the rules are changed so that there is no Upper Section bonus the average score drops from This compares with an average bonus score of The average number of Yahtzees thrown in a game is 0.

In about a quarter of these cases the Yahtzee box has a score 0 and so there is no Yahtzee bonus. Although the average score is The 1st Percentile is i. Source: [5] [7] The strategy for the first round described here is based on that used by the "Optimal" strategy.

Sometimes there are two possible plays which are almost equally good. In these cases the simplest option is given, i. Although there are different ways of throwing 5 dice, because the order of the dice is not important there are only different combinations.

To use the strategy described therefore requires dating online yahtzee bad different situations. Second and third roll choices[ edit ] The general principle after the first and second throws is to keep the largest number of similar dice and rethrow the rest. When a player has a full house he will keep the three-of-a-kind.

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With two pairs, keep the higher pair and rethrow the other three dice. If a large straight is rolled, keep it. If a small straight is rolled, keep it and re-roll the fifth die.

If all the dice are different and there is no straight, keep only the 5. There are a number of exceptions to these rules.

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These exceptions are different for the second and third rolls. Exceptions before the second roll: with a full house containing three 1s, he will keep all the dice and put in the Full House box. So, before the second roll he will never keep two pairs, he will never keep a pair of 1s and he will never throw all the dice again.

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Exceptions before the third roll: with a full house containing three 1s, three 2s or three 3s, he will keep all the dice and put in the Full House box. So there are specific differences compared to the second roll.

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Now he dating online yahtzee bad keep the Full House if the three-of-a-kind is 2 or 3 and keep two pairs when they are 1 and 2 or 1 and 3. He will Keep all large and small straights. He will Normally keep a pair of 1s although is still better and keep rather than 5 when all the dice are different.

If he has any of the following he will put it in the appropriate Lower Section box: Yahtzee, full house, large straight, small dating online yahtzee bad. With a 4-of-a-kind or 3-of-a-kind he will put it in the appropriate Upper Section box.

The only exception is that when he has a 3-of-a-kind where the sum of the dice is 25 or more he should use the 3-of-a-kind box. The 4-of-a-kind box is never used in the first round. In these situations there is no appealing option, the choice being between using an Upper Section box and using Chance.

With two pairs follow the rule for the lower of the.

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