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    Africa 101's Avatar
    Africa 101 Posts: 1, Reputation: 1
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    #1

    Apr 8, 2007, 05:23 PM
    Probability of rolling a red die
    When rolling a red die and a green die, how many combinations of rolls will add to 6?
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Apr 8, 2007, 05:31 PM
    You can use the following generating function to find the number of ways two die will sum to 6.



    Expand and look at the coefficient of x^6. That's your answer.

    Actually, it'd probably be easier for you to just write them out. There aren't that many.

    G-1, B-5
    G-2, B-4
    B-1, G-5
    G-4, B-2
    B-3, G-3

    That's about it.

    The aforementioned generating function works nice if the sum needed is large, such as how many ways can 5 dice sum to 24? Now, that's a 'whole nuther' matter. However, if you used it you would see the 5x^6.

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