SOLUTION: A survey of athletes at a high school is conducted, and the following facts are discovered: 26% of the athletes are football players, 29% are basketball players, and 8% of the athl

Algebra ->  Probability-and-statistics -> SOLUTION: A survey of athletes at a high school is conducted, and the following facts are discovered: 26% of the athletes are football players, 29% are basketball players, and 8% of the athl      Log On


   

Question 1125595: A survey of athletes at a high school is conducted, and the following facts are discovered: 26% of the athletes are football players, 29% are basketball players, and 8% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player?
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.

This probability is   26% + 29% - 8% = 47%. 


If you ask me WHY, I will answer you in this way:


    You understand why I added 26% and 29% - without my explanations.

    I only should explain why I subtracted 8%.

    It is because when I added 26% and 29%, I counted twice those who  is a football player AND a basketball player.

Solved.