Among 25 Presidential candidates, 11 think global warming is a myth, 8 believe that global warming i

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Among 25 Presidential candidates, 11 think global warming is a myth, 8 believe that global warming is real, and the rest have no opinion (“I'm not a scientist”). A newspaper interviews a random sample of 5 of the candidates. What is the probability that (a) all 5 think global warming is a myth; (b) all 5 share the same position (i.e., all think it is a myth, all believe it is real, or all have no opinion); (c) 3 share the same position and 2 share a different position (for example, 3 believe it is a myth and 2 have no opinion).

 

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