To find the probability that an eighth grader chosen at random will play an instrument other than drums, we first need to find the total number of eighth grade students playing instruments other than drums.
Total number of eighth grade students playing instruments other than drums = Total number of eighth grade students - Number of eighth grade students playing drums
= 9 (Guitar) + 10 (Bass) + 4 (Keyboard)
= 23
Total number of eighth grade students = 9 (Guitar) + 10 (Bass) + 10 (Drums) + 4 (Keyboard)
= 33
Therefore, the probability that an eighth grader chosen at random will play an instrument other than drums is:
P(instrument other than drums) = Number of eighth grade students playing instruments other than drums / Total number of eighth grade students
= 23/33
= 7/11
Therefore, the probability that an eighth grader chosen at random will play an instrument other than drums as a fraction in simplest form is 7/11.
Casho recorded the grade-level and instrument of everyone in the middle school School of Rock below.
Seventh Grade Students
Instrument # of Students
Guitar 5
Bass 10
Drums 13
Keyboard 13
Eighth Grade Students
Instrument # of Students
Guitar 9
Bass 10
Drums 10
Keyboard 4
Based on these results, express the probability that an eighth grader chosen at random will play an instrument other than drums as a fraction in simplest form.
1 answer