Suppose that $59 \%$ of people own dogs. If you pick two people at random, what is the probability that they both own a dog? Give your answer as a decimal rounded to 4 places. Submit Question

Step 1 ：Suppose that 59% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?

Step 2 ：The probability of two independent events both happening is the product of their individual probabilities. In this case, the probability of the first person owning a dog is 0.59, and the probability of the second person owning a dog is also 0.59.

Step 3 ：Therefore, the probability of both people owning a dog is \(0.59 \times 0.59\).

Step 4 ：probability = 0.34809999999999997

Step 5 ：Final Answer: The probability that both people own a dog is \(\boxed{0.3481}\).