If exactly 4 boys volunteer, what is the probability that the team is all boys or no boys?
There is not enough information to make conclusions. We assume in addition that there are 4 boys, m girls and the aim is to make a team with n persons, . In case we want to make a team from 4 boys, the total number of choices is: . I.e., we take 4 boys and for the other places take m girls. In case we wish to make a team with no boys, the number of choices is: .
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