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 0.05.

What is the probability that a randomly selected student plays a sport, given

that the student is a senior?

Question

Geography

Timothy Graves

16 February, 22:20

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 0.05.

What is the probability that a randomly selected student plays a sport, given

that the student is a senior?

+3

Answers (1)

Know the Answer?

Koen Bonilla · Answer 1

The answer is: 0.25

Step-by-step explanation:

We will use conditional probability formula to solve our given problem.

, where,

= Probability of event B, given probability of event A.

= Probability of event A and event B.

= Probability of event A.

Let us substitute our given values in conditional probability formula.

= Probability that a student plays a sport given that student is a senior.

=The probability that a student is a senior and plays a sport = 0.05.

= Probability that a student is a senior = 0.20.

Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior will be 0.25 and option C is the correct choice.

At a high school, the probability that a student is a senior is 0.20. Theprobability that a student plays a sport is 0.15. The probability that a studentis a senior and plays a sport is 0.05.What is the probability that a randomly selected student plays a sport, giventhat the student is a senior?