Question: A quality control system selects a sample of three items from a production line. If one or more is defective, a second sample is taken

A quality control system selects a sample of three items from a production line. If one or more is defective, a second sample is taken (also of size three), and if one or more of these are defective then the whole production line is stopped. Given that the probability of a defective item is 0.05, what is the probability that the second sample is taken? What is the probability that the production line is stopped?

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