Probability/The Addition Rule Question 13 During a 52-week period, a company paid overtime wages for 18 weeks and hired temporary help for 9 weeks.  During 5 weeks, the company paid overtime and hired temporary help.

  1. Are the events "selecting a week that contained overtime wages" and "selecting a week that contained temporary help wages" mutually exclusive?  {#1}
  2. If an auditor randomly examined the payroll records for only one week, what is the probability that the payroll for that week contained overtime wages or temporary help wages?
    {#2}
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  • Not mutually exclusive.  For five weeks the events overlap.
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