zachary recorded the grade - level and instrument of everyone in the middle school school of rock…

zachary recorded the grade - level and instrument of everyone in the middle school school of rock below.\nseventh grade students\n|instrument|# of students|\n|--|--|\n|guitar|7|\n|bass|14|\n|drums|15|\n|keyboard|9|\neighth grade students\n|instrument|# of students|\n|--|--|\n|guitar|2|\n|bass|15|\n|drums|2|\n|keyboard|11|\nbased on these results, express the probability that an eighth grader chosen at random will play the drums as a percent to the nearest whole number.
Answer
Explanation:
Step1: Calculate total 8th - grade students
Add the number of 8th - grade students for each instrument. $2 + 15+2 + 11=30$.
Step2: Calculate number of 8th - grade drum - players
The number of 8th - grade students who play drums is 2.
Step3: Calculate the probability
The probability $P$ that an 8th - grader chosen at random plays drums is the number of 8th - grade drum - players divided by the total number of 8th - grade students. $P=\frac{2}{30}=\frac{1}{15}$.
Step4: Convert to percentage
To convert the fraction to a percentage, multiply by 100. $P=\frac{1}{15}\times100=\frac{100}{15}\approx6.67%$. Rounding to the nearest whole number gives 7%.
Answer:
7%