Engineering Board Exam Reviewer · Venn Diagram & Statistics · medium

A survey concerning a group of TV viewers shows that: 56% watch sports; 39% watch movies; 51% watch news; 16% watch sports and movies; 19% watch movies and news; 30% watch sports and news; 11% watch sports, movies, and news. The rest are children who like watching cartoons only. How many of the TV viewers are children?

  1. 15%
  2. 12%
  3. 8%
  4. 10%

Answer

C. 8%

Solution

Taking a sample of 100 viewers and filling in the Venn diagram from the center outward (sports-only, movies-only, news-only, and the pairwise overlaps) leaves a remainder of x=8% who are children.

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