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25 February, 19:08

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?

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Answers (1)
  1. 25 February, 19:14
    0
    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.
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