Question

In a class of students, the following data table summarizes how many students playan instrument or a sport. What is the probability that a student who plays a sport alsoplays an instrument?Plays an instrument Does not play an instrumentPlays a sport24.Does not play a sport93

Answer 1

Given:

The total number of students is,

2+4+9+3=18.

The number of students who play both sports and instruments is 2.

To find the probability that a student who plays a sport also plays an instrument:

So, the probability that a student who plays a sport also plays an instrument is,

`\begin{gathered} P(E)=\frac{\text{No. of students who play both}}{\text{Total number of students}} \\ =(2)/(18) \\ =(1)/(9) \end{gathered}`

Thus, the answer is,

`(1)/(9)`