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Math Help - Probability with dice

  1. #1
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    Probability with dice

    Two dice are rolled. Find the probability of rolling a sum greater than 6.
    Confused on how to work this but...
    Wouldn't the probability be just .71?
    Possible outcomes and probabilitiy

    2 1/36
    3 2/36
    4 3/36
    5 4/36
    6 5/36
    7 6/36
    8 5/36
    9 4/36
    10 3/36
    11 2/36
    12 1/36

    so you would add the probability of all the possible outcomes greater than 6 which is 21 and divide that by the remaining possibilities? 15/21 = .71? or 71%?
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  2. #2
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    Quote Originally Posted by Murphie View Post
    Two dice are rolled. Find the probability of rolling a sum greater than 6.
    Confused on how to work this but...
    Wouldn't the probability be just .71?
    Possible outcomes and probabilitiy

    2 1/36
    3 2/36
    4 3/36
    5 4/36
    6 5/36
    7 6/36
    8 5/36
    9 4/36
    10 3/36
    11 2/36
    12 1/36

    so you would add the probability of all the possible outcomes greater than 6 which is 21 and divide that by the remaining possibilities? 15/21 = .71? or 71%?
    How many of the 36 possibilities have a sum greater than 6?

    21.


    So Pr\left(\sum > 6\right) = \frac{21}{36} = \frac{7}{12}.
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  3. #3
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    Quote Originally Posted by Murphie View Post
    Two dice are rolled. Find the probability of rolling a sum greater than 6.
    Confused on how to work this but...
    Wouldn't the probability be just .71?
    Possible outcomes and probabilitiy

    2 1/36
    3 2/36
    4 3/36
    5 4/36
    6 5/36
    7 6/36
    8 5/36
    9 4/36
    10 3/36
    11 2/36
    12 1/36

    so you would add the probability of all the possible outcomes greater than 6 which is 21 and divide that by the remaining possibilities? 15/21 = .71? or 71%?
    Use this chart to count the favourable outcomes.
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