an estimated 5% of all people have hazel eyes. if two people are selected at random from around the world…

Explanation:

Step1: Identify the probability of one - person having hazel eyes

The probability that a single person has hazel eyes is $p = 5%=0.05$.

Step2: Use the multiplication rule for independent events

Since the selection of the two people is random and the events are independent, the probability that both people have hazel eyes is the product of the probabilities of each person having hazel eyes. Let $P(A\cap B)$ be the probability that both people have hazel eyes. For independent events $A$ and $B$, $P(A\cap B)=P(A)\times P(B)$. Here, $P(A) = P(B)=0.05$. So $P(A\cap B)=0.05\times0.05 = 0.0025$.

Step3: Convert the decimal to a percentage

To convert the decimal 0.0025 to a percentage, we multiply by 100. So $0.0025\times100 = 0.25%$.

Answer:

0.25%