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A pair of fair dice is rolled and the sum of the two

Question: A pair of fair dice is rolled, and the sum of the two numbers falling uppermost is observed. The probability of obtaining a sum of 2 is the same as that of obtaining a 7 since there is only one way of getting a 2-namely, by each die showing a 1; and there is only one way of obtaining a 7-namely, by one die showing a 3 and the other die showing a 4. What is wrong with this argument?

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Mathematics: A pair of fair dice is rolled and the sum of the two

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