Question 3 If two teams, team Anteater and team Badger, play a best-of-three series, and if team Anteater has a (2/3) probability of winning any given game, then what is the average number of games in the series? Since it is a best-of-three match, there can be either two games (if one teanm wins the first and second match), or three games (if one team wins the first a. What are the two possible values of X? (The amount of games played b. Using "A" and "B" to symbolize which team won, draw all the possible c. So what is the probability Prob(X 2)? Use the sum rule to combine d. For the other case with 3 games. If the series doesn't have 2 games, the other the second, and either win the third) in the series?) outcomes for only 2 games each outcome's probability. then the only other option is Prob(X 3)-1- Prob(X 2. What is Prob(X 3)? e Now caleulate the value of ElX) with the equation in Theorem 1