Suppose you have 14 percent of people own dogs if you pick two people randomly .what is the probability that they both own a dog .. answer as a decimal rounded 4 places

Answer 1

We are given that 14% of the people own dogs, if you choose a random person, the probability that they own a dog is 14% or 0.14.

If you pick two people at random you can calculate the probability that they both own dogs by this simple step:

First we observe that :

P(Both the people own dogs) = P(first person own dogs)*P(second person own dogs) because we can see that "owning dogs" is independent between two people.

So the probability is as calculated:

P(Both the people own dogs) = 0.14*0.14 = 0.0196 or 1.96%

answer in four decimal places is 0.0196