Baseball's World Series is a maximum of seven games, with thewinner being the first team to win four games. Assume that theAtlanta Braves are playing the Minnesota Twins in the World Seriesand that the first two games are to be played in Atlanta, the nextthree games at the Twins' ballpark, and the last two games, ifnecessary, back in Atlanta. Taking into account the projectedstarting pitchers for each game and the home field advantage, theprobabilities of Atlanta winning each game are as follows:
Game | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Probability of Win | 0.4 | 0.55 | 0.42 | 0.56 | 0.55 | 0.39 | 0.52 |
a. Set up a spreadsheet simulation model in whether Atlanta winseach game is a random variable. What is the probability that theAtlanta Braves win the World Series? If required, round your answerto two decimal places.
b. What is the average number of games played regardless of winner?If required, round your answer to one decimal place.