algebra

Suppose that in a particular game two dice are tossed, and various amounts are paid according to the outcome. Find the requested probability. (Enter the probability as a fraction.) If a seven or an eight occurs on the first roll, the player wins. What is the probability of winning on the first roll?
thank you

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  1. 36 possible outcomes if order matters

    If it is the sum that matters you have to figure a different probability for every sum
    for example there are 4 ways of getting a sum of 5
    1+4 or 4+1
    2+3 or 3+2
    to get a sum of 6 though, there are 5 ways
    1+5 or 5+1
    2+4 or 4+2
    3+3
    On the first roll
    get 7 with
    1+6 or 6+1
    2+5 or 5+2
    3+4 or 4+3
    four ways so 4/36 = 1/9
    get 8 with
    2+6 or 6+2
    3+5 or 5+3
    4+4
    five ways so 5/36

    1/9 + 5/36 = 9/36 = 1/4 = chance of winning on first roll

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    posted by Damon
  2. thank you

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