simmormz8gabikaw simmormz8gabikaw

14-09-2016
Mathematics

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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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HomertheGenius HomertheGenius

16-09-2016

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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