Find the probability it was produced from Nasik Factory

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The compressors used in refrigerators are manufactured by three different factories at Pune, Nasik and Nagpur. It is known that the Pune factory produces twice as many compressors as the Nasik one, which produces the same number as the Nagpur one. Experience also shows that 0.2% of the compressors produced at Pune as well as Nasik are defective and so are 0.4% of those produced at Nagpur. A quality controller chooses a compressor and finds it a defective one. What is the probability that it was produced at Nasik factory.