Question

suppose that 50% 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. enter an integer or decimal number, accurate to at least 4 decimal places more...

Explanation:

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

The probability that a single person owns a dog is $p = 0.5$.

Step2: Use the multiplication rule for independent events

Since the events of two people owning dogs are independent, the probability that both own a dog is $P=p\times p$.
$P = 0.5\times0.5=0.2500$

Answer:

$0.2500$