Question

To get to know her students better, Ms. Arnold surveyed her math students to determine what hobbies and school subjects they prefer. Math Literature Poetry 1 3 Student council 3 4 Guitar 4 1 What is the probability that a randomly selected student enjoys guitar given that the student prefers math? Simplify any fractions.

Answer 1

ANSWER

$P(\text{enjoys}-\text{guitar-prefers-Math)}=\frac{1}{2}$

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:

$\begin{gathered} P(\text{enjoys}-\text{guitar-prefers-Math)}=\frac{4}{8} \\ P(\text{enjoys}-\text{guitar-prefers-Math)}=\frac{1}{2} \end{gathered}$

That is the answer.