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10 December, 23:30

In Janie's homeroom 54% of the students' families own a dog and 32% 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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  1. 11 December, 03:24
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    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%
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