The probability of owing a dog or a cat by an American household is 0.669.
Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
Given that,
The percent of households owning dogs is 36.5%.
The percent of households owning cats is 30.4%.
Suppose, A be the event of owning dogs and B of owning cats.
Then, as per the question P(A) and P(B) is given as,
P(A) = 36.5%
    = 36.5/100
And, P(B) = 30.4% Â Â
        = 30.4/100
Now, P(A or B) is given as,
P(A or B) = P(A) + P(B)
        = 36.5/100 + 30.4/100
        = 66.9/100
        = 0.669
Hence, the probability that the selected household will own a dog or a cat is 0.669.
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