III.12. Choosing at random. Abby, Deborah, Mei-Ling, Sam, and Roberto work in a firm’s public relations office. Their employer must choose two of them to attend a conference in Paris. To avoid unfairness, the choice will be made by drawing two names from a hat. (This is an SRS of size 2.)
(a) Write down all possible choices of two of the five names. These are the possible outcomes.
(b) The random drawing makes all outcomes equally likely. What is the probability of each outcome?
(c) What is the probability that Mei-Ling is chosen?
(d) What is the probability that neither of the two men (Sam and Roberto) is chosen?