to get to know her students better, ms. vega surveyed her math students to determine what hobbies and school…

to get to know her students better, ms. vega surveyed her math students to determine what hobbies and school subjects they prefer. what is the probability that a randomly selected student prefers athletics and prefers literature? simplify any fractions.
Answer
Explanation:
Step1: Find total number of students
Add all the values in the table: $8 + 3+5 + 2=18$.
Step2: Identify number of students who prefer athletics and literature
From the table, the number of students who prefer athletics and literature is 3.
Step3: Calculate the probability
The probability $P$ is the number of favorable outcomes divided by the total number of outcomes. So $P=\frac{3}{18}=\frac{1}{6}$.
Answer:
$\frac{1}{6}$