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Math Help - Dice game problem

  1. #1
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    Dice game problem

    The problem that I raise is the following one: there exists a game in which the player rolls a certain number of six faces dice and obtains a success for every six or every two fives that he obtains in the roll, for example if it was rolling five dice and rolls 5,6,5,5,5 he obtains three successes.

    Then I would like to make a table that indicates the possibilities of obtaining one or more successes and exactly one, two, three and so on up to ten with a reservation of between one and ten dice.

    Can anybody help me?
    Last edited by Pueblic; September 10th 2010 at 10:10 AM.
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  2. #2
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    Quote Originally Posted by Pueblic View Post
    The problem that I raise is the following one: there exists a game in which the player rolls a certain number of six faces dice and obtains a success for every six or every two fives that he obtains in the roll, for example if it was rolling five dice and rolls 5,6,5,5,5 he obtains three successes.

    Then I would like to make a table that indicates the possibilities of obtaining one or more successes and exactly one, two, three and so on up to ten with a reservation of between one and ten dice.

    Can anybody help me?
    For the one or more successes question:

    Let number of dice be n.

    Consider the number of ways to roll such that no 5 and no 6 is rolled. It is 4^n.

    Consider number of ways to roll such that no 6 is rolled and exactly one 5 is rolled. It is 4^(n-1) * n.

    Total number of ways to roll is 6^n.

    So...
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