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Math Help - Regarding Dice

  1. #1
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    Regarding Dice

    This might be simple but for some reason I can not stop pondering this question....
    Is the probability of rolling 6 dice and getting exactly one 1 equal to the probability of rolling 12 dice and getting exactly two 1s? Please explain thanks.
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  2. #2
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    Re: Regarding Dice

    Quote Originally Posted by tobeelijah1 View Post
    This might be simple but for some reason I can not stop pondering this question....
    Is the probability of rolling 6 dice and getting exactly one 1 equal to the probability of rolling 12 dice and getting exactly two 1s? Please explain thanks.
    NO
    P(one 1 out of 6 throws) =6(1/6)(5/6)^5 (the 6 comes because the 1 could be 1st 2nd........or6th)
    P(two 1s out of 12 throws)= 12C2 (1/6)^2(5/6)^10 (12c2 is the number of different ways two 1s can occur in 12 throws. Actually=66)
    Thanks from HallsofIvy
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  3. #3
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    Re: Regarding Dice

    How would this change with say 6 six sided dice vs 6 twelve sided dice? In the 6 12 sided dice scenario I would have a 1/6th chance to roll a one or a two right. Therefore the probability would be the same of rolling exactly one 1 or 2?
    Last edited by tobeelijah1; June 13th 2012 at 10:34 AM.
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