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.

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:

$\frac{1}{6}$