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A foreman admits that he forgets to shut off a machine on 55% of his night shifts. This causes the probability that a defective product

A foreman admits that he forgets to shut off a machine on 55% of his night shifts. This causes the probability that a defective product will be produced the next morning from 4% to 23%.

The plant manager randomly selects a product from the morning and discovers it is defective.

What is the probability that the foreman forgot to shut off the machine the previous night?

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