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3 February, 10:57

If two fair dice areâ rolled, find the probability that the sum of the dice is 10â, given that the sum is greater than 8.

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  1. 3 February, 11:57
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    If the sum is greater than 8, it can be 9, 10, 11 or 12.

    sum 9: 6+3, 3+6, 5+4, 4+5, 4 cases

    sum 10: 4+6, 6+4, 5+5, 3 cases

    sum 11: 5+6, 6+5, 2 cases

    sum 12: 6+6, 1 case

    so P (sum 10 / sum>8) = 3 / (4+3+2+1) = 3/10
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