Question: A production line has an automatic scanner to detect defects. In recent production, 10% of items have been defective. Every defective item is identified correctly

A production line has an automatic scanner to detect defects. In recent production, 10% of items have been defective. Every defective item is identified correctly as defective with the probability 90%. Every nondefective item is identified correctly as nondefective with the probability 80%.

If the scanner identifies an item as defective, what is the probability that it is truly defective?

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