Discover a wealth of information and get your questions answered on IDNLearn.com. Ask any question and receive comprehensive, well-informed responses from our dedicated team of experts.

At a high school, the probability that a student is a senior is 0. 25. The probability that a student plays a sport is 0. 20. The probability that a student is a senior and plays a sport is 0. 8. What is the probability that a randomly selected student plays a sport, given that the student is senior?

Sagot :

The probability of randomly selected student who plays sport  given that student is senior is 0.04

P(A) denotes probability of occurring of  an event A

P(B) denotes probability of occurring of an event B

P(B/A)  is known as condition probability.

The dependent events are the only ones that give rise to the conditional probability P(B/A). The conditional probability of B given that A has happened is provided.

According to this question A denotes as student is senior

B denotes student plays sport.

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

given that the student is senior is same as conditional probability.

P(B/A) ->Condition probability of B given that A has happened.

Student is senior given we have to tell about student plays a sport.

P(B/A) = P(A∩B) / P(A)

Given that P(A∩B) = 0.10

P(A) = 0.25

P(B/A) = 0.10/0.25 = 0.4

Given Question is incomplete Complete Question here.

At a high school, the probability that a student is a senior is 0.25. The probability that a student plays a sport is 0.15. The probability that a student is a senior and plays a sport is 0.10. What is the probability that a randomly selected student plays a sport, given that the student is senior?

To know more about conditional probability here

https://brainly.com/question/11899923

#SPJ4