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Do The Math

A survey of a group's viewing habits over the last year revealed the following information:

  1. 28% watched gymnastics
  2. 29% watched baseball
  3. 19% watched soccer
  4. 14% watched gymnastics and baseball
  5. 12% watched baseball and soccer
  6. 10% watched gymnastics and soccer
  7. 8% watched all three sports.

Calculate the percentage of the group that watched none of the three sports during the last year.

  1. 24
  2. 36
  3. 41
  4. 52
  5. 60

Solution: D

Let

    G = event that a viewer watched gymnastics
    B = event that a viewer watched baseball
    S = event that a viewer watched soccer

Then we want to find