Question

At a high school, the probability that a student is a senior is 0.20. The probability that a student plays a sport is 0.15. The probability that a student IS a senior and plays a sport is 0.05What is the probability that a randomly selected student plays a sport, giventhat the student is a senior?A. 0.33B. 0.05C. 0.25D. 0.15

Answer 1

Answer: 0.25

Step-by-step explanation:

This is a conditional probability problem.

The probability that a randomly selected student plays a sport, given

that the student is a senior = Probability that a student is a senior and plays a sport/probability that a student is a senior

From the information given,

probability that a student is a senior = 0.2

Probability that a student is a senior and plays a sport = 0.05

Thus,

The probability that a randomly selected student plays a sport, given

that the student is a senior = 0.05/0.2

The probability that a randomly selected student plays a sport, given

that the student is a senior = 0.25