Question 1

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A company that makes cartons find the probability of producing a carton with a puncture is 0.05, the probability that a carton has a smashed corner is 0.08, and the probability that a carton has a puncture and a smashed corner is 0.004.

  1. Are the events "selecting a carton with a puncture" and "selecting a carton with a smashed corner" mutually exclusive?  
  2. If a quality control inspector randomly selects a carton, find the probability that the carton has a puncture or a smashed corner.  
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