A lake contains 30 fish of which seven are captured, tagged, and released. A certain time later, six of the 30 fish are captured.

1. How many samples of size six are possible?
2. How many samples of size six, which include three of the seven tagged fish, are possible?
3. If the six captured fish represent a simple random sample drawn from the 30 fish (seven of which aretagged), find the probability that three of the six captured fish are tagged.

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