Suppose the Dodgers and the Yankees are in the World Series of baseball. A team must win four games to win the World Series. From their season records, you predict that the Dodgers have a probability of 0.6 f beating the Yankees in any one game. Assume this probability is independent of which team has won a preceeding game in this World Series.
c) For a team to win the series in exactly five games, they mus win exactly three of the first four games, then win the fifth game. Find the probability that the Dodgers win the series in five games, they must win exactly three of the first four games, then win the fifth game. Find the probability that the Dodgers win the series in five games.
d) Find the probability that the Yankees win the series in five games. e) Find the probability of each of these events i. The Dodgers win the series in six games ii. The Dodgers win the series in seven games iii. The Yankees win the series in six games iv. The Yankees win the series in seven games
f) Find the probability that the Yankees win the series. g) What is the most probable length of the series - four, five, six, or seven games?
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