SOLUTION: A survey of athletes at a high school is conducted, and the following facts are discovered: 19% of the athletes are football players, 45% are basketball players, and 3% of the athl
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-> SOLUTION: A survey of athletes at a high school is conducted, and the following facts are discovered: 19% of the athletes are football players, 45% are basketball players, and 3% of the athl
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Question 1204084: A survey of athletes at a high school is conducted, and the following facts are discovered: 19% of the athletes are football players, 45% are basketball players, and 3% 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 greenestamps(13198) (Show Source):
In standard usage, "... is either a football player or a basketball player..." allows the possibility that the athlete plays both sports.
Adding the 19% that play football and the 45% that play basketball gives a total of 64%. But in adding those percentages we have counted the 3% who play both sports twice. So only 64-3=61% of them play either football or basketball, or both.
