In a certain town, there are 1000 households. Each household has either a cat, a dog, both, or neither. Upon surveying the residents, it was determined that: 250 households have cats. 150 households have dogs. 75 households have both cats and dogs. If a household is chosen at random, what is the probability that the household has either a cat or a dog?

Exam

GRE

Section

Difficulty

GRE Quantitative Reasoning Section

Probability of Households with Cats or Dogs

Hard Data Analysis Probability

In a certain town, there are 1000 households. Each household has either a cat, a dog, both, or neither. Upon surveying the residents, it was determined that:

250 households have cats.
150 households have dogs.
75 households have both cats and dogs.

If a household is chosen at random, what is the probability that the household has either a cat or a dog?

0.45

0.475

0.575

0.675

Hint

Submitted3.8K

Correct2.2K

% Correct58%