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In a factory, machine X produces 60% of the daily output and machine Y produces 40% of the daily output. 2% of machine X's output

In a factory, machine X produces 60% of the daily output and machine Y produces 40% of the daily output.

2% of machine X's output is defective, and 1.5% of machine Y's output is defective.

One day, an item was inspected at random and found to be defective. What is the probability that it was produced by machine X?

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