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A group of children is composed of 20 boys (2 of them are not vaccinated) and...

A group of children is composed of 20 boys (2 of them are not vaccinated) and 35 girls (5 of them are not vaccinated). A sample of 10 children is obtained by randomly selecting 5 boys and 5 girls. What is the probability that the sample will contain exactly one child that is not vaccinated?

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