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Suppose that a recent poll of American households about pet ownership found that for households with...

Suppose that a recent poll of American households about pet ownership found that for households with pets, 45% owned a dog, 34% owned a cat, and 10% owned a bird. Suppose that three households are selected randomly and that the probabilities of owning each pet are independent of each other.  

What is the probability that all three randomly selected households own a dog?

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