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Rework problem 17 from section 3.2 of your text, involving the sum of the numbers showing...

Rework problem 17 from section 3.2 of your text, involving the sum of the numbers showing on two fair dice. (1) What is the probability that exactly one die shows a 3 given that the sum of the numbers is 6? (2) What is the probability that the sum of the numbers is 6 given that exactly one die shows a 3? (3) What is the probability that the sum of the numbers is 6 given that at least one die shows a 3?

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