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Mathematics, 19.10.2020 14:01 sfritz6456

An airport screens bags for forbidden items, and an alarm is supposed to be triggered when a forbidden item is detected. Suppose that 4%, percent of bags contain forbidden items. If a bag contains a forbidden item, there is a 99%, percent chance that it triggers the alarm. If a bag doesn't contain a forbidden item, there is an 5%, percent chance that it triggers the alarm. Given a randomly chosen bag triggers the alarm, what is the probability that it contains a forbidden item? (roun your answer to 3 decimal places if needed)

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