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Among 17 metal parts produced in a machine shop, 6 are defective. If a random sample of four of these metal parts is selected, find:

(a) The probability that this sample will contain at least three defectives. (Do not round the intermediate answers. Round your answer to 4 decimal places.)



(b) The probability that this sample will contain at most one defective. (Round your answer to 4 decimal places.)

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