on the first day of music class, students submitted a survey. one survey question asked students to report…

on the first day of music class, students submitted a survey. one survey question asked students to report which music genre they prefer. another question asked students how frequently they sing in the shower. what is the probability that a randomly selected student sings in the shower 0 times a week and prefers rock? simplify any fractions.

on the first day of music class, students submitted a survey. one survey question asked students to report which music genre they prefer. another question asked students how frequently they sing in the shower. what is the probability that a randomly selected student sings in the shower 0 times a week and prefers rock? simplify any fractions.

Answer

Explanation:

Step1: Find total number of students

Add all values in the table: $2 + 4+2 + 2=10$.

Step2: Identify favorable number of students

The number of students who sing 0 times a week and prefer rock is 4.

Step3: Calculate probability

Probability = $\frac{\text{Favorable outcomes}}{\text{Total outcomes}}=\frac{4}{10}=\frac{2}{5}$.

Answer:

$\frac{2}{5}$