SOLUTION: Suppose that 28% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?

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Question 942134: Suppose that 28% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?
Answer by mathmate(429) About Me  (Show Source):
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Given:
Probability of a person owning a dog is 0.28
Choose two persons at random, find probability that both are dog-owners.

Solution:
probability of dog-ownership for one person chosen at random = 0.28
probability of dog-ownership for two persons chosen at random = 0.28%5E2+=+0.0784

Answer: probability of two dog-owners out of two randomly chosen persons is 0.0784.