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Conditional Probabilityhard
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A manufacturing firm uses two machines, M1M_1M1​ and M2M_2M2​, to produce gears. M1M_1M1​ produces 65% of the total output with a 2% defect rate, and M2M_2M2​ produces 35% with a 5% defect rate. If a gear is selected and found to be non-defective, what is the probability that it originated from M1M_1M1​?