Juan recorded the grade-level and instrument of everyone in the middle school School of Rock below.Seventh Grade StudentsInstrument # of StudentsGuitar 8Bass 3Drums 8Keyboard 10Eighth Grade StudentsInstrument # of StudentsGuitar 2Bass 14Drums 8Keyboard 10Based on these results, express the probability that a seventh grader chosen at random will play an instrument other than drums as a percent to the nearest whole number.
Question
Juan recorded the grade-level and instrument of everyone in the middle school School of Rock below.Seventh Grade StudentsInstrument # of StudentsGuitar 8Bass 3Drums 8Keyboard 10Eighth Grade StudentsInstrument # of StudentsGuitar 2Bass 14Drums 8Keyboard 10Based on these results, express the probability that a seventh grader chosen at random will play an instrument other than drums as a percent to the nearest whole number.
Solution
To solve this problem, we first need to find the total number of seventh grade students. We do this by adding up the number of students who play each instrument:
Guitar: 8 students Bass: 3 students Drums: 8 students Keyboard: 10 students
So, the total number of seventh grade students is 8 + 3 + 8 + 10 = 29 students.
Next, we need to find the number of seventh grade students who play an instrument other than drums. We do this by subtracting the number of students who play drums from the total number of students:
29 students - 8 students (who play drums) = 21 students
Finally, we find the probability by dividing the number of students who play an instrument other than drums by the total number of students, and then multiplying by 100 to get a percentage:
(21 students / 29 students) * 100 = 72.41%
Rounding to the nearest whole number, we get 72%. So, the probability that a seventh grader chosen at random will play an instrument other than drums is 72%.
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