A survey questioned 1,000 high school students. the survey revealed that 48% are honor roll students. of those who are honor roll students, 45% play sports in school and 22% of those that are not honor roll students, don't play sports. what is the probability that a high school student selected at random plays sports in school?

Question

Mathematics

Greyson Clark

23 January, 12:00

A survey questioned 1,000 high school students. the survey revealed that 48% are honor roll students. of those who are honor roll students, 45% play sports in school and 22% of those that are not honor roll students, don't play sports. what is the probability that a high school student selected at random plays sports in school?

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Jonah Odom · Answer 1

Of the 1000 students surveyed, 48%, or 480, are honor roll students. Of those 480, 45%, or 216, play sports.

Of the remaining 520 non-honor-roll students, 22%, or 114.4 don't play sports. That leaves 405.6 that do.

Thus, of the 1000 students surveyed, 216 + 405.6 = 621.6 play sports, for a ratio of 621.6/1000 = 0.6126.

The probability that a randomly chosen student plays sports in school is about 0.6216.