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 0.08. what is the probability that a randomly selected student plays a sport, given that the student is a senior?

0.32

Step-by-step explanation:

We have been given that 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 0.08.

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

= The probability of event B given event A.

= The probability of event A and event B.

=Probability of event A.

Let A be that the student is senior and B be the student plays a sport.  

P(A and B) = Probability that student is a senior and plays a sport.

Upon substituting our given values we will get,

Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior will be 0.32.

only 10/60 isn't equivalent

hope this : )