Nasim recorded the grade-level and instrument of everyone in the middle school School of Rock below.
Seventh Grade Students:
Guitar: 2
Bass: 10
Drums: 15
Keyboard: 2
Eighth Grade Students:
Guitar : 3
Bass : 2
Drums : 2
Keyboard : 5
Based on these results, express the probability that an eighth grader chosen at random will play the drums as a fraction in simplest form.
The total number of eighth grade students is:
3 (guitar) + 2 (bass) + 2 (drums) + 5 (keyboard) = 12
The probability that an eighth grader chosen at random will play the drums is:
2 (number of eighth grade drummers) / 12 (total number of eighth grade students) = 1/6
Therefore, the probability is 1/6 in simplest form.