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    Probability of Yahtzee game




    Hi, i am new to this forum. Sorry if i post in wrong place.

    Have anyone played Yahtzee game?
    It's a popular game with 5 dice and you can roll up to 3 times: http://boardgamegeek.com/boardgame/2243/yahtzee

    My question relate to this game. Assume that you have 5 dice, in turn you can roll, keep and re-roll any dice up to 3 times.

    What is probability in 3 times roll to get:

    Specific "2 of a kind": 1-1, 2-2, 3-3, 4-4, 5-5, 6-6.
    Specific "3 of a kind":1-1-1, 2-2-2, 3-3-3, 4-4-4, 5-5-5, 6-6-6.
    Specific "4 of a kind":1-1-1-1, 2-2-2-2, 3-3-3-3, 4-4-4-4, 5-5-5-5, 6-6-6-6.
    Specific "3 in a row": 1-2-3, 2-3-4, 3-4-5, 4-5-6.
    Specific "4 in a row":1-2-3-4, 2-3-4-5, 3-4-5-6.
    Specific "5 in a row":1-2-3-4-5, 2-3-4-5-6.
    Total above or equal 15.
    Total above or equal 20.
    Total above or equal 25.
    Any two different pairs (ex,2-2 and 3-3).
    Any full house (ex, 2-2-2-3-3).
    Any three of a kind (ex, 4-4-4).
    Any four of a kind (ex, 5-5-5-5).
    Any small straight (ex, 1-2-3-4).
    Any large Straight (ex, 1-2-3-4-5).

    Thank you,

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    Re: Probability of Yahtzee game

    It depends on your strategy of how you choose which die to keep.
    I don't have emotions and sometimes that makes me very sad.

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    Re: Probability of Yahtzee game

    Quote Originally Posted by Dason View Post
    It depends on your strategy of how you choose which die to keep.
    Is there any way to calculate general Probability?
    Example, 1-2-3 always easier to roll than 1-2-3-4, regardless strategy right?

    Can you help me count probability in all (or some) strategies?
    I am designing a game so this is very important to balance the game.
    I will very grateful for this.

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    Re: Probability of Yahtzee game


    Anyone help?

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