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math

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In a
manufacturing process, each item leaving an assembly line will be examined by
two inspectors: A and B individually. Based on past experiences, Inspector A detects 60% of the defective items. If the defective items are not detected by Inspector A, 90% of them will be detected by Inspector B. However, 60% of the defective items are not detected by Inspector B given that they are detected by Inspector A.


What is the probability that a defective item is detected by Inspector A, given
that it is detected by Inspector B?

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