Question

Suppose that 13% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?

Answer 1

Explanation:

If 13% of people own dogs, then the probability that a randomly selected person owns a dog is 0.13. Assuming that the ownership of dogs is independent between people, the probability that two randomly selected people both own a dog is equal to the product of their individual probabilities:

P(both own a dog) = P(1st person owns a dog) * P(2nd person owns a dog | 1st person owns a dog)

P(both own a dog) = 0.13 * 0.13

P(both own a dog) = 0.0169

Therefore, the probability that two people picked at random both own a dog is 0.0169 or approximately 1.69%.