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2 August, 21:42

A pair of fair dice is rolled and the sum of the numbers is noted. Determine the probability that one die resulted in a 5 given that the sum is 8.

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  1. 2 August, 22:15
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    Pairs whose sum is 8:

    2 + 6, 3 + 5, 4 + 4, 5 + 3, 6 + 2 (there are 5 pairs)

    Pairs when one die is 5: 3 + 5, 5 + 3 (2 pairs)

    P (A) = 2 / 5 = 0.4

    Answer: The probability that one die resulted in a 5 given that a sum is 8 is 0.4.
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