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.
