In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student chosen randomly from the class does not play a sport? Plays an instrument Does not play an instrument
Plays a sport 8 7
Does not play a sport 3 12

79.31%

First we need to find the total number of students.

We do that summing all the four values in the table:

Total students = 2 + 18 + 3 + 6 = 29

Then, the students that play a sport or an instrument are all student but the ones that don't play both:

Students(sport or instrument) = 29 - 6 = 23

So the probability of a random student playing a sport or an instrument is 23/29 = 0.7931 = 79.31%

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