A survey of 100 random high school students finds that 85 students watched the Super Bowl, 25 students watched the Stanley Cup Finals, and 20 students watched both games. How many students did not watch either game?
A)15
B)30
C)10
D)20

Question

Quizplus · Accepted Answer

To find the number of students who did not watch either game, we use the principle of inclusion-exclusion. The total number of students who watched at least one of the games is the sum of students who watched the Super Bowl (85) and the Stanley Cup Finals (25) minus the students who watched both (20) to avoid double counting. This gives us 85 + 25 - 20 = 90 students. Therefore, 100 - 90 = 10 students did not watch either game.

A Survey of 100 Random High School Students Finds That