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In a factory, machine A produces 60% of the daily output, and machine B produces 40% of the daily output. After quality control process, 2% of machine A's output is defective, and 3% of machine B's output is defective. If an item was inspected at random,

In a factory, machine A produces 60% of the daily output, and machine B produces 40% of the daily output. After quality control process, 2% of machine A's output is defective, and 3% of machine B's output is defective. If an item was inspected at random,

 1- What is the probability that the item is defective? 

2- What is the probability that the item was produced by machine A given that it was found defective?

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In a factory, machine A produces 60% of the daily output, and machine B produces 40% of the daily output. After quality control process, 2% of machine A's output is defective, and 3% of machine B's output is defective. If an item was inspected at random,
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