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Suppose you have a population with two men- one democrat; and one a republican; and two women- one a democrat and one a republican. For a simple random sample of size 2, all samples of size 2 have the same chance of being chosen. (1) What would the likelihood be of choosing any one of these samples? (2) Suppose for a sample of size two to be "representative" of the population, it has to have exactly one man and one woman, and one democrat and one republican. What is the chance of selecting a simple random sample of size two from this population that is representative (in this sense of the word)?

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