# Math

posted by
**Sammy**
.

A company that produces a particular machine component has 3 factories, one each in Buffalo, Detroit, and Pittsburgh. 39% of the components produced come from the Buffalo factory, 36% of the components come from the Detroit factory, and 25% of the components come from the Pittsburgh factory. It is known that 1.1% of the components from the Buffalo factory, 1.4% of the components from the Detroit factory, and 0.9% 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 Detroit?