Concept explainers
Pet ownership Suppose that 25% of people have a dog, 29% of people have a cat, and 12% of people own both. What is the
Find the probability that one owns a dog or a cat.
Answer to Problem 1E
The probability that one owns a dog or a cat is 0.42.
Explanation of Solution
Given info:
There are 25% of people who have a dog, 29% of people who have a cat, and 12% of people have both dog and cat.
Calculation:
General addition rule of probability:
Here, 25% of people own a dog. Hence, the probability of selecting a person who owns a dog is 0.25. Similarly, the probability of selecting a person who owns a cat is 0.29 and the probability of selecting a person who owns both dog and cat is 0.12. The required probability is the probability that one owns a dog or a cat is obtained as follows:
Thus, the probability that one owns a dog or a cat is 0.42.
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