Question

A survey revealed that 56% of the students at North Valley high school are involved with in a sports team. The survey also showed that 24% of the students at the school are involved in a sports team also participated in the prom dance. What is the probability that a student who is involved in a sports team also participated in the prom dance?

Answer 1

The probability that a student who is involved in a sports team also participated in the prom dance = 0.1344

Explanation:

56% of the students are involved in a sport team

56% = 0.56

According to the question, it is stated that 24% of the students at the school that are involved in a sports team also participated in the prom dance.

24% = 0.24

This means that we are going to find 24% of the original 56%, since 24% of them also participated in the prom dance.

The probability that a student who is involved in a sports team also participated in the prom dance = 0.24 * 0.56

The probability that a student who is involved in a sports team also participated in the prom dance = 0.1344