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?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 10E
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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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