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There is a population of four people: Amy, Ben, Clara, and Donna. [Note: this is a...

There is a population of four people: Amy, Ben, Clara, and Donna. [Note: this is a population, not a sample.] They are asked how many apples they ate last month. Amy ate 3 apples, Ben ate 5 apples, Clara ate 11 apples, and Donna ate 1 apple. We are too lazy to poll the entire population, so we take a sample of two (with replacement and order matters). What is the probability of the sample mean equaling the population mean?

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