Final answer:
Option C. The probability that a randomly selected family owns a dog or doesn't own a cat depends on whether owning a dog and owning a cat are mutually exclusive or not.
Step-by-step explanation:
The probability that a randomly selected family owns a dog or doesn't own a cat depends on whether owning a dog and owning a cat are mutually exclusive or not. If owning a dog and owning a cat are mutually exclusive events, then the probability is the sum of the probabilities of owning a dog and not owning a cat, or the sum of the probabilities of not owning a dog and owning a cat.
If owning a dog and owning a cat are independent events, then the probability is the sum of the probabilities of owning a dog and not owning a cat, or the sum of the probabilities of not owning a dog and owning a cat. However, without more information about the relationship between owning a dog and owning a cat, it is not possible to determine the exact probability.