Baseball's World Series is a maximum of seven games, with thewinner being the first team to win four games. Assume that theAtlanta Braves and the Minnesota Twins are playing in the WorldSeries and that the first two games are to be played in Atlanta,the next three games at the Twins' ballpark, and the last twogames, if necessary, back in Atlanta. Taking into account theprojected starting pitchers for each game and the home fieldadvantage, the probabilities of Atlanta winning each game are asfollows:
Game | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Probability of Win | 0.7 | 0.45 | 0.49 | 0.55 | 0.47 | 0.45 | 0.6 |
Set up a spreadsheet simulation model for which whether Atlantawins or loses each game is a random variable. What is theprobability that the Atlanta Braves win the World Series? Ifrequired, round your answer to two decimal places.
What is the average number of games played regardless of winner? Ifrequired, round your answer to one decimal place.