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Math Help - Three dice are rolled.

  1. #1
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    Three dice are rolled.

    Any help appreciated, thanks.
    Three dice are thrown. What is the probability that the total number of dots shown is twelve? What is the probability that the total number of dots shown is twelve and at least one or more of them shows a six?
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  2. #2
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    How many different ways are there of making 12 when throwing 3 dice?
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  3. #3
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    Do I just count them? because it did take a while and I think it is 25 ways of making 12.

    Thanks
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  4. #4
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    Quote Originally Posted by shra28 View Post
    Do I just count them? because it did take a while and I think it is 25 ways of making 12.
    You are correct about the 25.
    However, each of the twenty-five may have different probabilities.

    For example 444 can appear in only one way.
    But, 255 can appear in three different ways.
    And 246 can appear in six different ways.

    6^3=216 Thus the \mathcal{P}(4+4+4)=\frac{1}{216}.
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