Assume in a single game sudden death playoff between team A and team B that team A would win with probability 0.6.
a) What if the league deicdes to play a best of 3 series instead of a sudden death playoff. what is the probability that team B would win? show your calculations
b) What if the league decided to play a best of 5 series instead of a sudden death playoff. What is the probability that team B would win? show your calculation.
c) If you were the league commissioner and you were concerned about competitive balance and thus wanted to limit the value of talent to large market teams, what do the result in (a) and (b) suggest about the design of the league playoffs. Explain.