A certain manufacturer produces cars at two factories labele
     A certain manufacturer produces cars at two factories labeled A and B.  10% of the cars produced at factory A are found to be defective, while 5% of the cars produced at factory B are defective. If factory A produces 100, 000 cars per year and factory B produces 50, 000 cars per year, compute the following:  The probability of purchasing a defective car from the manufacturer  If a car purchased from the manufacturer is defective, what is the probability that it came from factory A? 
  
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