Question

Suppose a shipment of 170 electronic components contains 3 defective components. to determine whether the shipment should be​ accepted, a​ quality-control engineer randomly selects 3 of the components and tests them. if 1 or more of the components is​ defective, the shipment is rejected. what is the probability that the shipment is​ rejected?

Answer 1

If nCk represents the number of ways k parts can be chosen from a pool of n, the probability of interest is the complement of the probability of selecting all good parts.
  1 - (167C3)/(170C3) = 42,085/804,440 ≈ 0.0523

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nCk = n!/(k!(n-k)!)