according to a report for veterinarians in the united states, 36.5 percent of households in the united states own dogs and 30.4 percent of households in the united states own cats. if one household in the united states is selected at random, what is the probability that the selected household will own a dog or a cat?

Respuesta :

The probability of owing a dog or a cat by an American household is 0.669.

What is probability?

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%    

                = 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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