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To solve the problem, we need to calculate the probability that a randomly chosen eighth grader plays the drums.

Here’s the step-by-step process:

1. **Identify the Total Number of Eighth Graders:**
   - Guitar: 3 students
   - Bass: 2 students
   - Drums: 2 students
   - Keyboard: 5 students

   Total number of eighth graders = \(3 + 2 + 2 + 5 = 12\) students.

2. **Identify the Number of Eighth Graders Who Play Drums:**
   - There are 2 students who play the drums.

3. **Calculate the Probability:**
   The probability is the number of students who play the drums divided by the total number of eighth graders:
   \[
   \text{Probability} = \frac{\text{Number of students who play drums}}{\text{Total number of students}} = \frac{2}{12}
   \]
   Simplify the fraction:
   \[
   \frac{2}{12} = \frac{1}{6}
   \]

So, the probability that a randomly chosen eighth grader plays the drums is \( \frac{1}{6} \).

Would you like more details or have any questions? Here are some related questions you might be interested in:

1. What is the probability that a randomly chosen eighth grader plays the keyboard?
2. How does the probability change if the total number of students in a grade increases?
3. What is the probability of randomly choosing a student (from both grades) who plays bass?
4. How would the probability change if one more eighth grader who plays drums is added?
5. Can this probability be represented as a decimal or percentage?

**Tip:** Always simplify fractions in probability to their lowest terms to make your answer as clear as possible.

Nasim recorded the grade-level and instrument of everyone in the middle school School of Rock. Based on these results, express the probability that an eighth grader chosen at random will play the drums as a fraction in simplest form.

Learn how to calculate the probability that an eighth grader from the School of Rock will play drums. This problem uses core probability concepts and fraction simplification. Suitable for students in Grades 6-8.

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