It is believed that there are only 25 of a type of animal that is near extinction in a certain region. Five individuals from this type have been caught, tagged, and released to mix into the...

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Extracted text: It is believed that there are only 25 of a type of animal that is near extinction in a certain region. Five individuals from this type have been caught, tagged, and released to mix into the population. Then a random sample of 10 of these animals is selected. Find the probability that there are at most 2 tagged animals in the sample. Note: Please round your final answer to 4 decimal places.