For a Yahtzee we must be successful with all 3 dice which occurs with probability (11/36) 3 = 0.0285. There are 6^2 = 36 possible outcomes when we re-roll the 1 and the 4. We first calculate the number of different outcomes that result in a particular hand and use this to determine the probability of each hand. 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 100 point bonus, but you do get a joker, and can choose your move following the rules described above for.
The objective of Yahtzee is to get as many points as possible by rolling five dice and getting certain dice combinations.
The game consists of 13 rounds. The round starts by rolling all the dice. After this either score the current roll, or re-roll any or all of the five dice. The dice can be rolled a total of three times — the initial roll, plus two re-rolls of any or all dice. After rolling three times, the roll must be scored. Any roll can be scored in any category at any time, even if the resulting score is zero.
The game continues until all 13 score categories have been filled.
All upper section categories score a sum of the specified die face. If the total score of all upper section categories is 63 or more, an extra bonus of 35 is added.
3 of a kind: Get three dice with the same number. Scores the sum of all dice.
4 of a kind: Get four dice with the same number. 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.
Large Straight: Get five sequential dice. Scores 40 points.
Chance: You can put anything into chance. Scores the sum of the dice.
YAHTZEE: Five of a kind. Scores 50 points. Each additional Yahtzee scores 100 extra points.
Solitaire
The objective of Yahtzee is to get as many points as possible by rolling five dice and getting certain dice combinations. The game consists of 13 rounds. The round starts by rolling all the dice. After this either score the current roll, or re-roll any or all of the five dice. Join a YAHTZEE® family to get help from your friends! Download now for 30 free bonus rolls! YAHTZEE® With Buddies Features Game Bonuses:. Complete Yahtzee games to win in-game scratchers for a chance to win bonus dice rolls. Activate a bonus dice roll to get an extra dice spin right when you need it. The objective of Yahtzee is to get as many points as possible by rolling five dice and getting certain dice combinations. The game consists of 13 rounds. The round starts by rolling all the dice. After this either score the current roll, or re-roll any or all of the five dice.