Question

1. in a music school of 124 students, 82 students play the piano, 71 students play the guitar and 10 students play neither.

7d what is the probability that a student chosen at random plays neither the piano nor the guitar?

Explanation:

Step1: Recall Probability Formula

Probability of an event is the number of favorable outcomes divided by the total number of outcomes. Here, favorable outcomes are students who play neither, and total outcomes are total students.

Step2: Identify Values

Total students \( n = 124 \), students who play neither \( m = 10 \).

Step3: Calculate Probability

Probability \( P=\frac{m}{n}=\frac{10}{124} \). Simplify by dividing numerator and denominator by 2: \( P = \frac{5}{62} \approx 0.0806 \) (or keep as fraction).

Answer:

The probability is \(\frac{5}{62}\) (or approximately \(0.0806\)).