Susan, John, Lisa, and Michael share an office. Two of them will be randomly chosen to change offices by drawing names out of a hat. What is

Question

Susan, John, Lisa, and Michael share an office. Two of them will be randomly chosen to change offices by drawing names out of a hat. What is the probability that Michael will be chosen first and Susan will be chosen second.

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Jasmine 3 weeks 2021-09-21T13:11:04+00:00 1 Answer 0

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    2021-09-21T13:12:40+00:00

    Answer:

    8.33% probability that Michael will be chosen first and Susan will be chosen second.

    Step-by-step explanation:

    Initially, there are 4 people(Susan, John, Lisa, and Michael). The probability of Michael being chosen first is 1/4.

    Now, suppose Michael was chosen.

    There are 3 people(Susan, John and Lisa). The probability of Susan being chosen is 1/3.

    What is the probability that Michael will be chosen first and Susan will be chosen second.

    Multiplying these probabilities

    p = \frac{1}{4}*\frac{1}{3} = \frac{1}{12} = 0.0833

    8.33% probability that Michael will be chosen first and Susan will be chosen second.

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