Question

seventh grade students
instrument # of students
guitar 7
bass 12
drums 6
keyboard 11
eighth grade students
instrument # of students
guitar 9
bass 15
drums 4
keyboard 14
based on these results, express the probability that a seventh grader chosen at random will play the guitar as a fraction in simplest form.

Explanation:

Step1: Find total seventh graders

Sum the number of seventh graders for each instrument: \(7 + 12 + 6 + 11\)
\(7+12 = 19\), \(6 + 11 = 17\), \(19+17 = 36\)

Step2: Find probability for guitar

Number of seventh graders who play guitar is \(7\). Probability is \(\frac{7}{36}\) (already in simplest form as 7 and 36 have no common factors other than 1).

Answer:

\(\frac{7}{36}\)