Question

juan recorded the grade - level and instrument of everyone in the middle school school of rock below. seventh grade students instrument # of students guitar 8 bass 3 drums 8 keyboard 10 eighth grade students instrument # of students guitar 2 bass 14 drums 8 keyboard 10 based 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. answer attempt 1 out of s

Explanation:

Step1: Calculate total number of seventh - grade students

The number of seventh - grade students who play guitar is \(8\), bass is \(3\), drums is \(8\), and keyboard is \(10\).
The total number of seventh - grade students \(n = 8 + 3+8 + 10=29\).

Step2: Calculate number of seventh - grade students who do not play drums

The number of seventh - grade students who do not play drums \(m=8 + 3+10 = 21\).

Step3: Calculate the probability

The probability \(P=\frac{m}{n}\). Substitute \(m = 21\) and \(n = 29\) into the formula, \(P=\frac{21}{29}\).
To convert this fraction to a percentage, use the formula \(P(\%)=\frac{21}{29}\times100\).
\(\frac{21}{29}\times100=\frac{2100}{29}\approx72.41\).

Answer:

\(72\%\)