A football club purchased footballs manufactured at three different factories in Chennai, Mumbai…

A football club purchased footballs manufactured at three different factories in Chennai, Mumbai and Delhi. Given below is the data of the footballs manufactured at these factories during the same period: - Chennai factory produced twice as many footballs as the Mumbai factory. - The factory in Delhi manufactured the same number of footballs as that of the Mumbai factory. Past records show that: - $0.2\%$ of the footballs produced by factories at Chennai and Mumbai were defective. - $0.4\%$ of the footballs manufactured at Delhi had defects. A quality control team chose a football and found it to be defective. What is the probability that it was produced in Mumbai factory?