Probability/The Addition Rule Question 20 The percent distribution of the number of occupants in vehicles crossing the Tacoma Narrows Bridge in Washington is shown in the pie chart.  Find each probability.

 

  1. Randomly selecting a car with two occupants  {#1}
  2. Randomly selecting a car with two or more occupants  {#2}
  3. Randomly selecting a car with between two and five occupants, inclusive  {#3}
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