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In order to manage the credit risk, a bank regularly rates each of its borrowers as A1 or A2 or A3, based on their credit history. A1 implies lowest risk and A3 implies highest risk. Risk means the chance that a borrower might fail to pay back the loan amount. Based on historical data, on an average, 30% customers are rated A1 60% are rated A2 and 10% are rated A3. It was found that 1% of the customers who were rated A1, 10% of the customers who were rated A2, and 18% of the customers who were rated A3, eventually become defaulters (failed to payback). (Question) If you randomly pickup on customers from defaulter’s pool, what is the probability that he had received on A1 rating?

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