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Like any other dice game, it involves rolling dice five , matching them and pairing them for points. The object of the game is to make the maximum number of points.
The player with the greatest grand total wins the game and therefore earns the difference between his score and that of his opponents. It can be played by any number of people - in a large group or even by a single player Solitaire.
So where did it all start? The exact origin of Yahtzee is not very clear. It is said to have been made by Milton Bradley in the s.
But according to Hasbro, the current owners of the rights of the game, it was invented in by a Canadian couple who often played it with friends on their yacht.
And in , the couple is said to have visited a toy-maker called Edwin. Lowe and asked him to make a few samples of their infamous "Yacht game", to distribute as gifts.
Lowe liked the game so much, that he offered to buy the rights for the game in exchange for the first thousand games produced. Lowe then changed the name of the game to "Yahtzee".
Initially the game did not sell too well, so Lowe started throwing Yahtzee parties, believing in the power of word of mouth. The game had to be played to be appreciated.
If the final box is in the upper section, the strategy is to keep any of the number required and re-roll the others. The distribution is as follows:.
There are slightly different strategies depending on whether a player is simply just trying to get a three-of-a-kind or if they are trying to maximize their average score.
Different strategies will also be required should a specific target be needed to achieve. The strategy to maximize the chance of getting a three-of-a-kind involves keeping any three-of-a-kind that is rolled.
If a three-of-a-kind is rolled then after the first throw the player should keep any other 5s and 6s, while after the second throw the player should keep any other 4s, 5s, and 6s.
An example is with the player keeps and throws the other 2. If a three-of-a-kind is not rolled the player should keep any pair that is rolled and re-roll the other dice, with two pairs the player should keep the higher pair, and with no pair the player should keep the highest die.
Following this strategy gives a This strategy does not maximize the average score since there are a few situations after the first throw, where it is better to keep other combinations.
For instance after throwing , keeping maximizes the chance of getting a three-of-a-kind a guaranteed score of 15 but keeping 66 maximizes the expected average score The situations where the strategy to maximize the average score differs are all after the first throw and are as follows: For example, with the player should keep 6 rather than 22 and with they should keep not If they follow the strategy to maximize the average score they will get a three-of-a-kind As with three-of-a-kind there are slightly different strategies depending on whether a player is simply trying to get a four-of-a-kind or he is trying to maximize his average score.
Different strategies will also be required should he need to achieve a specific target. The strategy to maximize his chance of getting a four-of-a-kind involves keeping any four-of-a-kind that he has.
If he has a four-of-a-kind then after the first throw he will keep the other if it is a 5 and 6, while after the second throw he will keep it if it is a 4, 5 or 6.
So that with he keeps and will throw the 3. If he does not have a four-of-a-kind, the player should keep any three-of-a-kind or pair that he has and re-roll the other dice.
With two pairs he will keep the higher pair. With no pair he will keep the highest die. Following this strategy gives him a As with three-of-a-kind this strategy does not maximize the average score since there are a few situations after the first throw, where it is better to keep other combinations.
For instance, after throwing , keeping maximizes the chance of getting a four-of-a-kind but keeping 66 maximizes the expected average score 6.
Following the strategy to maximize the average score he will get a four-of-a-kind A player will keep a Yahtzee or Full House.
A Yahtzee will score 25 under the Joker rule, even though it is not strictly a full house. He will keep any four-of-a-kind, three-of-a-kind or pairs that are thrown and re-roll the others.
With two pairs he will keep both. On average he will succeed The strategy is complicated by the fact that, because of the Joker rule, the player will score 30 if he gets a Yahtzee.
Clearly he keeps any Small Straight or Yahtzee that he throws. After the first throw he will keep a run of 3 or 3 out of 4 e. Otherwise, he will keep a 3 or 4 or both and a 2 or 5 if he also has a 3 or 4 e.
He will not keep just 2, 5 or The only difference after the second throw is that he keeps , , and and will try to throw a Yahtzee unless the other die is a 3 or 4.
Again the strategy is complicated by the fact that, because of the Joker rule, he will score 40 if he gets a Yahtzee.
Clearly he will keep any Large Straight or Yahtzee that he throws. The best strategy is also to keep a four-of-a-kind and try to throw a Yahtzee, even after the first throw.
The player should not keep a three-of-a-kind. Keep a small straight or 4 out of 5 e. Otherwise he should simply keep any 2, 3, 4 or 5 just one of each , so that with he would keep A player should keep any Yahtzee, four-of-a-kind, three-of-a-kind or pair that is thrown and re-roll the others.
On average he will succeed 4. To get the maximum average score the strategy is straightforward. After the first throw the player will keep any 5s and 6s.
After the second throw he will keep any 4s, 5s, and 6s. On average he will score Different strategies will be required when he needs to achieve a specific target.
The strategy for maximizing the expected score has been determined. It is important to note that the "Optimal" strategy simply maximises the average score.
It does not maximise the chances of winning a game. There are two main reasons for this. Firstly, the Optimal strategy takes no account of any opponents.
In normal gameplay a player will adjust their strategy depending on the scores of the other player or players. Secondly, the Optimal strategy tends to give undue importance to Yahtzee bonuses.
It is rare for a player without a Yahtzee bonus to beat a player with one. Consider the situation where the Yahtzee bonus was worth a million rather than a hundred.
It would not influence normal gameplay where the objective is to score more than the opponent. It would, however, affect the "Optimal" strategy since scoring a million would have a dramatic effect on the average score.
The "Optimal" strategy would be dominated by the prospect of a Yahtzee bonus. Even with a Yahtzee bonus worth the "Optimal" strategy tends to give too much importance to Yahtzee bonuses.
Despite these limitations the "Optimal" strategy does provide a useful guide as to the best strategy, especially in the early rounds.
The "Optimal" strategy for the first round is described in the next section. After the first round, the number of different games rapidly makes detailed analysis difficult but, in the early rounds, players generally simply adapt the first round strategy based on the boxes used.
For instance if a player throws in the first round they will keep 66 but if the 6s box was used in the first round and they throw in the second round they will naturally keep 55 instead.
The following table shows the average score obtained using the Optimal strategy and the proportion of the time that zero is scored in a particular category: 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.
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 knowing different situations. 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. 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. These exceptions are different for the second and third rolls.
If the One, Three or Four Categories were selected for scoring with this roll, you would score a zero. If placed in the Two or Six category, you would score 2 and 6 respectively.
Bonus If the total of Upper scores is 63 or more, add a bonus of Note that 63 is the total of three each of 1s, 2s, 3s, 4s, 5s and 6s.
You score the total of all the dice. For 4 of a kind you would need 4 die faces the same. Small and Large Straight A Straight is a sequence of consecutive die faces, where a small straight is 4 consecutive faces, and a large straight 5 consecutive faces.
Small straights score 30 and a large 40 points. So if you rolled: Full House A Full House is where you have 3 of a kind and 2 of a kind. Full houses score 25 points.
First Yahtzee A Yahtzee is 5 of a kind and scores 50 points, although you may elect NOT to score it as a yahtzee, instead choosing to take it as a top row score and safegaurd you bonus.If a large straight is rolled, keep it. So that if a deutschland ungarn em 2019 scores four "sixes" they will be "6 up"; while if they then hunters video just two "twos" they will then be only "4 up". Similarly, if a player starts with two "twos" they will be "2 down". The dice can be rolled up to three times in a turn to try to make various scoring combinations and dice must remain in the box. In normal gameplay a player will adjust their strategy depending on the scores of the other player or players. To use the strategy described therefore requires knowing different situations. The worst first roll is which has a value of This strategy does not maximize the average score since there are a few situations after the first throw, where it is better to keep the best casino slots to play combinations. After this over 40 million games were sold in America and around the globe. The is achieved by scoring five aces 5five twos 10five threes 15five fours 20five fives 25five em italien 2019 30the Upper Section bonus pro 7 pokerstars.de nacht 2019five sixes scored as Three-of-a-kind 30five sixes champignons league as a four-of-a-kind 30a how does rich casino work house 25a small straight 30a large straight so gut wie möglicha Yahtzee 50and five sixes liga pro as chance