Question 8.69

38. Abby, Boaz, Carmen, Dani, and Eduardo 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.)

  1. Write down the sample space of all possible choices of two of the five names.
  2. The random drawing makes all choices equally likely. What is the probability of each choice?
  3. What is the probability that Abby is chosen?
  4. What is the probability that neither of the two men (Boaz and Eduardo) is chosen?