Bob is asked to construct a probability model for rolling a pair of fair dice. He lists

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Bob is asked to construct a probability model for rolling a pair of fair dice. He lists the outcomes as 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12. Because there are 11 outcomes, he reasoned, the probability of rolling a two must be 1/11 . What is wrong with Bob’s reasoning?

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