Question

suppose that 18% 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 (to at least 3 places) or fraction 0.032

Explanation:

Step1: Identify the probability of one - person owning a dog

The probability that a single person owns a dog is $p = 0.18$.

Step2: Use the multiplication rule for independent events

Since the events of two randomly - chosen people owning a dog are independent, the probability that both own a dog is $P=p\times p$.
$P = 0.18\times0.18=0.0324\approx0.032$

Answer:

$0.032$