Question 1

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A college has an undergraduate enrollment of 3500.  Of these, 860 are business majors and 1800 are women.  Of the business majors, 425 are women.

  1. Are the events "selecting a woman student" and "selecting a business major" mutually exclusive?  
  2. If the college newspaper conducts a poll and selects students at random to answer a survey, find the probability that a selected student is a woman or a business major.  
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