Question 4.42

4.42 Who goes to Paris?

Abby, Deborah, Sam, Tonya, 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.)

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