In a factory there are three separate production lines which all produce the same type of CD-player. Line A produces 30% of the CD-players, line B produces 25% and line C 45%. In a quality inspection 2% of line A's players are faulty, in line B 3% are faulty and in line C 5%.
One CD-player is picked at random. What is the probability that it is:
a) Faulty
b) It has been produced in line B when it is know that it is faulty?
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I believe that Venn diagram and Bayes' theorem are of use in this task.

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