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three factories produce light bulbs to supply the market. factory a produces 20%, 50% of the tools are produced in factory b and 30% in factory c. 2% of the bulbs produced in factory a, 1% of the bulbs produced in factory b and 3% of the bulbs produced in factory c are defective. a bulb is selected at random in the market and found to be defective. what is the probability that this bulb was produced by factory b?