in a class of 29 students, 18 play an instrument and 15 play a sport. there are 6 students who do not play…

in a class of 29 students, 18 play an instrument and 15 play a sport. there are 6 students who do not play an instrument or a sport. what is the probability that a student chosen randomly from the class plays an instrument?

in a class of 29 students, 18 play an instrument and 15 play a sport. there are 6 students who do not play an instrument or a sport. what is the probability that a student chosen randomly from the class plays an instrument?

Answer

Explanation:

Step1: Identify total number of students

The total number of students in the class is 29.

Step2: Identify number of instrument - playing students

The number of students who play an instrument is 18.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes (students who play an instrument) is 18 and the total number of outcomes (total students in the class) is 29. So, $P = \frac{18}{29}$.

Answer:

$\frac{18}{29}$