A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. He writes the numbers 1–10 on equally sized slips of paper and places them in a bag. He shakes the bag and selects 3 slips of paper. Is the sample of 3 questions a simple random sample?

A simple random sample gives every group of 3 questions the same chance of being selected. The slips are equally sized, so no number is favored by its physical size, and shaking the bag mixes them before selection. Therefore, the sample is a simple random sample: choice D, “Yes, because the paper slips were equally sized and the bag was shaken.”

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