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Question: Two fair dice are rolled.

a. What is the (conditional) probability that one turns up two spots, given they show different numbers?

b. What is the (conditional) probability that the first turns up six, given that the sum is k, for each k from two through 12?

c. What is the (conditional) probability that at least one turns up six, given that the sum is k, for each k from two through 12?

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