simmormz8gabikaw
simmormz8gabikaw simmormz8gabikaw
  • 14-09-2016
  • Mathematics
contestada

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 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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