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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 two pairs. The rule depends on whether the pair or smaller pair is low 1, 2 or 3 or high 4, 5 or 6 :.
The best outcome in the first round is to throw a Yahtzee and put it in the Yahtzee box. This increases the final expected score from The second best outcome is to score 24 in the 6s box.
This provides an expected score of The worst first roll is which has an expected score of The worst third roll is which has an expected score of The highest possible score is 1, and involves throwing 13 Yahtzees, scoring 12 Yahtzee bonuses of points each, as well as in the other categories.
The is achieved by scoring five aces 5 , five twos 10 , five threes 15 , five fours 20 , five fives 25 , five sixes 30 , the Upper Section bonus 35 , five sixes scored as Three-of-a-kind 30 , five sixes scored as a four-of-a-kind 30 , a full house 25 , a small straight 30 , a large straight 40 , a Yahtzee 50 , and five sixes scored as chance The score of 1, requires using the "Joker" rules for the full house, small straight, and large straight categories.
In order to score 1, the player must throw 13 successive Yahtzees. The probability of getting a Yahtzee, if that is the sole objective, is 4.
The probability of scoring 1, 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 to score 30 in the three-of-a-kind, four-of-a-kind and chance categories.
This most frequently happens when a player rolls two pairs. This means that a player can slightly increase the chance of getting a 6 Yahtzee without reducing the chance of getting a Yahtzee.
In normal gameplay the probability of scoring 1, is considerably less. Using the strategy that maximizes the average score, the probability of scoring 1, is 1.
The highest possible score without a Yahtzee bonus is , which is achieved with scoring a five-of-a-kind as a Yahtzee, 84 in the Upper Section four-of-a-kind in each category , and 29 in each of 3 of a kind, 4 of a kind, and Chance.
The highest possible score without rolling a five-of-a-kind is For a player following the strategy which maximises the chance of getting a Yahtzee, the probability of scoring a particular number of Yahtzees follows a binomial distribution and is shown in the following table.
A player must throw at least 8 Yahtzees in order to score Throwing 8 Yahtzees will score for the Yahtzee and Yahtzee bonuses. The 7 Yahtzees after the first throw will generally score highly, including the opportunity of using the Joker rule to score in, for instance, the Large Straight category.
This means that a player throwing 8 Yahtzees will often be able to score 1, In normal gameplay the probability of scoring this number of Yahtzees is considerably less.
The following table shows the probability of getting certain scores using the "Optimal" strategy. The lowest possible score is 5.
The Chance box always scores the sum of the dice, so that a minimum of 5 must be scored in that category. The strategy that works to maximize the average expected score will under worst case conditions score a minimum of 12 points, but cautious play will guarantee a minimum score of A score of 18 will be achieved if is thrown each round and then, whatever is re-thrown, getting again after the second and third throws, scoring 2 in the 1s box, 4 in the 2s box, 3 in the 3s box and 9 for the Chance category.
Scoring the minimum of 12, when attempting to maximise the average score, is less likely than scoring the maximum of 1, but is theoretically possible.
Suppose that in the first two rounds after each roll. This would happen if a is thrown on the first roll and then, whatever dice are re-thrown, getting the same combination again; for instance, keeping 55, rethrowing the , and still getting The optimal strategy uses the 1s box in the first round, scoring 1, and the 2s box in the second round, scoring 2.
Now suppose that for the next 3 rounds results after each roll. Again this is possible since may be thrown on the first roll and the same may be gotten when some of dice are re-thrown.
The optimal strategy uses the four-of-a-kind and Yahtzees boxes in the third and fourth rounds and then the 3s box in the fifth round, scoring 0 each time.
For the last 8 rounds suppose is rolled each time. Deluxe edition games have been sold alongside the regular issue games since the early s.
They all contain components that are more luxurious than standard game parts. In recent years, a number of collector issue Yahtzees have been sold as well.
Some of these collector issues have dice that replace the pips with certain symbols connected to a theme, but still correspond to the numbers one to six.
Since the s, Travel Yahtzee has been sold in various forms as part of Milton Bradley's line of travel games.
Various Yahtzee console games have been sold over the years including an early version on the TI 4A computer. In , the game was first released to PC and Mac users by Atari.
Later, GameHouse also released an authorized special version of the game for Windows users. There are also several electronic versions of the game such as a handheld LCD version, and a cell phone version called Yahtzee Deluxe , which feature the original rules along with Duplicate and Rainbow modes, as well as independently produced versions for the Palm OS and Pocket PC and several cellphone models.
It was sold in a three pack that included Life , Payday , and Yahtzee. The game has also been released for the iPod , iPod touch and the iPhone , to be purchased through the iTunes Store ,   as well as Google Play.
A number of related games under the Yahtzee brand have been produced. They all commonly use dice as the primary tool for gameplay, but all differ generally.
The first was Triple Yahtzee, developed in There are a large number of versions of Yahtzee which can be played online or are available to download.
There are a large number of related games. Yatzy is one of the most popular. Yatzy rules and scoring categories are somewhat different from Yahtzee: .
From Wikipedia, the free encyclopedia. This article is about the dice game. For the video game journalist, see Ben "Yahtzee" Croshaw.
This article may contain an excessive amount of intricate detail that may interest only a particular audience. Please help by spinning off or relocating any relevant information, and removing excessive detail that may be against Wikipedia's inclusion policy.
May Learn how and when to remove this template message. Although Yahtzee is a commercial game with its own components game set in upper image , the game can also be played with just five dice such as the dice in the lower image , some pencils or pens and sheets of paper, and the knowledge of the rules and scoring categories.
Main article: Games related to Yahtzee. This article appears to contain trivial, minor, or unrelated references to popular culture.
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Unsourced material may be challenged and removed. April Lowe Company". Scores the sum of all dice. Full House : Get three of a kind and a pair.
Scores 25 points. Small Straight : Get four sequential dice. Scores 30 points. Spelling Scramble. Mind Games for 2 Player.
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Happy Thanksgiving! Don't like the Thanksgiving theme? Don't like the Christmas theme? Gameplay In each turn a player may throw the dice up to three times.
Upper section combinations Ones: Get as many ones as possible. Twos: Get as many twos as possible. Threes: Get as many threes as possible.
Fours: Get as many fours as possible. Fives: Get as many fives as possible. Sixes: Get as many sixes as possible. Lower section combinations Three of a kind: Get three dice with the same number.
Points are the sum all dice not just the three of a kind. Four of a kind: Get four dice with the same number. Points are the sum all dice not just the four of a kind.
Full house: Get three of a kind and a pair, e. Scores 25 points. Small straight: Get four sequential dice, 1,2,3,4 or 2,3,4,5 or 3,4,5,6.
Scores 30 points. Large straight: Get five sequential dice, 1,2,3,4,5 or 2,3,4,5,6. Scores 40 points.
Chance: You can put anything into chance, it's basically like a garbage can when you don't have anything else you can use the dice for.
The score is simply the sum of the dice. Scores 50 points. You can optionally get multiple Yahtzees, see below for details. Multiple Yahtzees The rules around multiple Yahtzees are a bit complex.
There are a couple of different cases: You already have a Yahtzee: You get a bonus points in the Yahtzee box, but you also have a joker, which means that you can choose another move for the Yahtzee you just got.
If the number you got yahtzees with has not been filled out in the upper section, then you must choose that. If the upper section box is already filled then you can choose any of the lower region boxes, and they will be scored as normal.
Yahtzee is a superset of 3 of a kind, 4 of a kind, full house and chance, but you can also choose small or large straight and will get the normal 30 and 40 points for those.
You've already put 0 in the Yahtzee box: In this case you get no point bonus, but you do get a joker, and can choose your move following the rules described above for jokers.
Multiplayer After years of only playing against the computer, you can now start playing against other people from all over the world.
Strategy tips Try to get the bonus. Back to game. About Yahtzee.