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You are a member of a population of 10,000 people. You happen to be chosen for a simple random sample of size 1,000 this year.

You are a member of a population of 10,000 people. You happen to be chosen for a simple random sample of size 1,000 this year. Then you are chosen for another simple random sample of size 100 (drawn independently of the first sample) next year. You think you're incredibly unlucky to be chosen for two such samples, but how unlucky are you? The probability of this happening is which of the following?

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