Question

Suppose that 57% of people have dogs.

If two people are randomly chosen, what is the probability that they both have a dog?
There is a _____ % chance the two randomly chosen people have dogs.
Round to the nearest one hundredth of a percent

Answer 1

There is a 32.49% chance that two randomly chosen people both have dogs, assuming the probability of an individual having a dog is 57%.

Step-by-step explanation:

If 57% of people have dogs, and two people are randomly chosen, the probability that both have dogs can be calculated by multiplying the probability of the first person having a dog by the probability of the second person having a dog. This is because the selections are independent events. Hence, the calculation is 0.57 * 0.57 = 0.3249, which means there is a 32.49% chance that both randomly chosen people have dogs, when rounded to the nearest one hundredth of a percent.