Problem: Who gets interviewed? Abby, Deborah, Mei-Ling, Sam, and Roberto are students in a small seminar course. Their professor decides to choose two of them to interview about the course. To avoid unfairness, the choice will be made by drawing two names from a hat. (This is an SRS of size 2.)
Required:
(i) Write down all possible choices of two of the five names. This is the sample space.
(ii) The random drawing makes all choices equally likely. What is the probability of each choice?
(iii) What is the probability that Mei-Ling is chosen?
(iv) Abby, Deborah, and Mei-Ling liked the course. Sam and Roberto did not like the course. What is the probability that both people selected liked the course?