Question

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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Answer 1

51,111%

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%