5 out of every 10 Americans have brown eyes and the remainin

5 out of every 10 Americans have brown eyes, and the remaining people are split evenly between blue and green eyes.

a. What is the probability that out of 10 Americans chosen at random, at least 2 have different eye color? You may assume you are sampling from a “very large” population.

b. 30 family members whose eye colors are perfectly representative of the distribution in America attended a family reunion. If we choose 8 different attendees at random, is the probability of choosing at least 2 people with different eye color higher or lower than in part a?

Solution