Sophia has four tickets to a concert. Six of her friends, Yolanda, Michael, Kevin, Marissa, Annie, and Katie, have all expressed an interest in going to the concert. Sophia decides to randomly select three of her six friends to attend the concert.

(a) List all possible samples of size n = 3 from the population of size N = 6. Once an individual is chosen, he or she cannot be chosen again.

(b) Comment on the likelihood of the sample containing Michael, Kevin, and Marissa.

Approach 

List all possible combinations of three people chosen from the six. Remember, in simple random sampling, each sample of size 3 is equally likely to occur.