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2 June, 22:21

Two dice are thrown simultaneously. Given that sum of the numbers is NOT more than 5, what is the probability that sum is more than 3?

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  1. 2 June, 23:12
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    A method to know the probability is to list down all of the possible combinations that would present an outcome of not more than 5. This is listed below:

    1 + 4

    4 + 1

    2 + 3

    3 + 2

    1 + 1

    2 + 2

    1 + 2

    2 + 1

    1 + 3

    3 + 1

    There are 10 possible outcomes. But among these, the only ones that can have a sum more than 3 are:

    1 + 4

    4 + 1

    2 + 3

    3 + 2

    2 + 2

    1 + 3

    3 + 1

    There are only 7 possible outcomes that meet both requirements. Given that there are 7 outcomes within the total of 10, the probability would be 7/10, or 0.7.
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