SOLUTION: A pair of fair dice is rolled. What is the probability that the sum of the numbers falling uppermost is less that 9 given that at least one of the number is a 6?

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Question 427771: A pair of fair dice is rolled. What is the probability that the sum of the numbers falling uppermost is less that 9 given that at least one of the number is a 6?
Answer by stanbon(75887) About Me  (Show Source):
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A pair of fair dice is rolled. What is the probability that the sum of the numbers falling uppermost is less than 9 given that at least one of the number is a 6?
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Pairs that meet the conditions: (6,1)(6,2);(1,6)(2,6)
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Pairs with at least one 6:
(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)
(1,6)(2,6)(3,6)(4,6)(5,6)
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P(sum< 9|at least one 6) = 4/11
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Cheers,
Stan H.
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