solving probability

Question

Suppose that 47% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?

Answer 1

Since you are picking from a very large sample, we can assume the selection of people is independent, so probability of both owning a dog is the product of the probability of each owning a dog = 0.47 * 0.47 = 0.2209.