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A company that produces a particular machine component has 3 factories, one each in Buffalo, Detroit, and Pittsburgh. 27% of the components produced come from the Buffalo factory, 39% of the components come from the Detroit factory, and 34% of the components come from the Pittsburgh factory. It is known that 1.7% of the components from the Buffalo factory, 2.8% of the components from the Detroit factory, and 1.4% of the components from the Pittsburgh factory are defective. Given that a component is selected at random and is found to be defective, what is the probability that the component was made in Buffalo?

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