In a certain assembly plant, three machines, Machine 1, Machine 2 and Machine 3 make 30%, 45% and 25% respectively of the products. It is known from the quality control data collected from the past that 2%, 3% and 2% of the products made by each machine respectively, are defective. If a product is chosen randomly chosen and found to be defective, what is the probability that it is made by Machine 3? Scanned with CamScanner

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