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Exercise II. We roll a fair 6-sided die with faces labeled 1 through 6, and a fair 8-sided die with
faces labeled 1 through 8. We observe the numbers showing on top of the dice. (a) Find the
probability that the sum of the numbers is 10. (b) Find the probability that the sum of the
numbers is at least 10. (c) Find the probability that the sum of the numbers is 10 if we know that
at least one of the numbers is 6 or greater. (d) Find the probability that at least one of the
numbers is 6 or greater if we know that the sum the numbers is 10.

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  • 1. Exercise II. We roll a fair 6-sided die with faces labeled 1 through 6, and a fair 8-sided die with faces labeled 1 through 8. We observe the numbers showing on top of the dice. (a) Find the probability that the sum of the numbers is 10. (b) Find the probability that the sum of the numbers is at least 10. (c) Find the probability that the sum of the numbers is 10 if we know that at least one of the numbers is 6 or greater. (d) Find the probability that at least one of the numbers is 6 or greater if we know that the sum the numbers is 10.