ANSWER
[tex]P(\text{enjoys}-\text{guitar-prefers-Math)}=\frac{1}{2}[/tex]EXPLANATION
We want to find the probability that the randomly selected student enjoys guitar given that the student prefers Math.
There are 8 students that prefer Math and among them, only 4 enjoy the guitar.
Therefore, the probability that the randomly selected student enjoys guitar given that the student prefers Math can be found by dividing the number that enjoy guitar b(4) y the number that prefers Math. (8)
That is:
[tex]\begin{gathered} P(\text{enjoys}-\text{guitar-prefers-Math)}=\frac{4}{8} \\ P(\text{enjoys}-\text{guitar-prefers-Math)}=\frac{1}{2} \end{gathered}[/tex]That is the answer.
