Question

an estimated 5% of all people have hazel eyes. if two people are selected at random from around the world, what are the chances that both of these people have hazel eyes?
0.25%
1.00%
2.50%
10.00%
25.00%

Explanation:

Step1: Identify probabilities

The probability that one person has hazel eyes is $P = 5\%=0.05$.

Step2: Use multiplication rule for independent events

Since the selections are independent, the probability that two people both have hazel eyes is $P_{both}=0.05\times0.05$.
$P_{both}=0.0025$.

Step3: Convert to percentage

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

Answer:

0.25%