Jaxson recorded the grade-level and instrument of everyone in the middle school School of Rock below.Seventh Grade StudentsInstrument # of StudentsGuitar 5Bass 13Drums 14Keyboard 8Eighth Grade StudentsInstrument # of StudentsGuitar 2Bass 12Drums 11Keyboard 15Based on these results, express the probability that a seventh grader chosen at random will play the guitar as a decimal to the nearest hundredth.
Question
Jaxson recorded the grade-level and instrument of everyone in the middle school School of Rock below.Seventh Grade StudentsInstrument # of StudentsGuitar 5Bass 13Drums 14Keyboard 8Eighth Grade StudentsInstrument # of StudentsGuitar 2Bass 12Drums 11Keyboard 15Based on these results, express the probability that a seventh grader chosen at random will play the guitar as a decimal to the nearest hundredth.
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 playing each instrument:
Guitar: 5 students Bass: 13 students Drums: 14 students Keyboard: 8 students
Total = 5 + 13 + 14 + 8 = 40 students
Next, we need to find the number of seventh grade students who play the guitar, which is 5.
The probability of a randomly chosen seventh grader playing the guitar is then the number of guitar players divided by the total number of students.
So, Probability = Number of guitar players / Total number of students
= 5 / 40
= 0.125
Expressed as a decimal to the nearest hundredth, the probability is 0.13.
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