Two machines are used in a factory to manufacture semiconductors. Machine A manufactures defective semiconductors \(10 \%\) of the time, while machine B manufactures defective semiconductors \(5\%\) of the time.
A randomly selected machine manufactures ten semiconductors.
Both machines are equally likely to be selected.
Find the probability that exactly two semiconductors are defecticve.
[4]Given that exactly two semiconductors are defective, find the probability that they were manufactured by machine A.
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