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Thread: Probability theory, rolling dice

  1. #1
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    Probability theory, rolling dice

    You are rolling N, m sided fair dice. Each time die got on face M I take it and next time you roll rest of dice. What is the probability that I will get all dice after n'th roll?
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  2. #2
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    Re: Probability theory, rolling dice

    You roll all the dice at once. I take all the dice showing M at once NOT just 1 of them.
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    Re: Probability theory, rolling dice

    Quote Originally Posted by Rafael View Post
    You roll all the dice at once. I take all the dice showing M at once NOT just 1 of them.
    Right. This is a tremendously involved problem.

    Were you assigned this as a class assignment?
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    Re: Probability theory, rolling dice

    This was proposed me by a friend.

    Is there a short way to solve it? I tried to solve case for one 6 sided die and two 6 sided dice. In the second case I used conditional probablily for exploring different cases
    Probability theory, rolling dice-2-dice.jpg
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  5. #5
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    Re: Probability theory, rolling dice

    My friend solved it for two 6 sided dice. Here is the probability dependance on number of roll (n)

    2/5*(5/6)^n - 11/25*(5/6)^(2*n)
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