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A zoo has a large primate collection including eight baboons and six chimps. If a vet randomly picks four of them for examination, what are the probabilities that these would include:

(a) two baboons and two chimps
(b) one baboon and three chimps

Solution Preview

a) 6(8/14)(7/13)(6/12)(5/11) = .4196

b) 4(8/14)(6/13)(5/12)(4/11) = ...