In Janie’s homeroom, 45% of the students’ families own a dog and 23% own a dog and a cat. What is the probability that a student’s family ow

Question

In Janie’s homeroom, 45% of the students’ families own a dog and 23% own a dog and a cat. What is the probability that a student’s family owns a cat if the family owns a dog?

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Gabriella 16 mins 2021-09-15T20:52:06+00:00 2 Answers 0

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    0
    2021-09-15T20:53:18+00:00

    Answer:

    51,111%

    Step-by-step explanation:

    We know that 45% have a dog but no cat.  While 23% have both a dog and a cat.

    Then Pr(X has cat|X has dog) = Pr(X has dog and cat)/Pr(X has dog)

    = Pr(X has dog and cat)/Pr(X has dog) = 0.23/0.45 = 0.51 ≈ 51,111%

    The probability that a student’s family owns a cat if the family owns a dog is 51,111%

    0
    2021-09-15T20:53:24+00:00

    Answer:

    51.1% is the correct answer.

    Step-by-step explanation:

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