In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In addition, 30 percent of the families own a cat. What is the conditional probability that a randomly selected family owns a dog given that it owns a cat?

In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In addition, 30 percent of the families own a cat. What is the conditional probability that a randomly selected family owns a dog given that it owns a cat?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

In a certain community, 36 percent of the families own a dog and 22 percent of the families that
own a dog also own a cat. In addition, 30 percent of the families own a cat. What is the conditional
probability that a randomly selected family owns a dog given that it owns a cat?

Expert Solution

Step 1

Given

P(Dog)=36%=0.36, P(Dog and Cat)=22%=0.22, P(Cat)=30%=0.30

P(Dog|Cat)=?

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