A radio station has two tickets to give away to a Beyonce concert. It held a contest and narrowed the possible recipients down to four people: Alyssa (A), Mackenzie (M), Crystal (C),
and Grace (G). The names of two of these four will be
selected at random from a hat and the
two people will be awarded the tickets.
1. Use the counting principle to determine the number of points in the sample space.
2. Construct a tree diagram and list the sample space.
3. Determine the probability that Mackenzie is selected.
4. Determine the probability that Alyssa is not selected.
5. Determine the probability the neither Grace nor Crystal are selected.