Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the Atlanta Braves and the Minnesota Twins are playing in the World Series and that the first two games are to be played in Atlanta, the next three games at the Twins' ballpark, and the last two games, if necessary, back in Atlanta. Taking into account the projected starting pitchers for each game and the home field advantage, the probabilities 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 Set up a spreadsheet simulation model for which whether Atlanta wins or loses each game is a random variable. What is the probability that the Atlanta Braves win the World Series? If required, round your answer to two decimal places. What is the average number of games played regardless of winner? If required, round your answer to one decimal place.

Question

Mathematics

Quintin Blevins

16 August, 14:04

Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the Atlanta Braves and the Minnesota Twins are playing in the World Series and that the first two games are to be played in Atlanta, the next three games at the Twins' ballpark, and the last two games, if necessary, back in Atlanta. Taking into account the projected starting pitchers for each game and the home field advantage, the probabilities 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 Set up a spreadsheet simulation model for which whether Atlanta wins or loses each game is a random variable. What is the probability that the Atlanta Braves win the World Series? If required, round your answer to two decimal places. What is the average number of games played regardless of winner? If required, round your answer to one decimal place.

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Answers (1)

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Meredith Blackwell · Answer 1

For part; a)

probability that the Atlanta Braves win the World Series=0.40

For part b; b)

average number of games played regardless of winner = 5.8

Step-by-step explanation:

using the rand () function for the simulation of the probabilities and compare with given probabilites if less than above then Atlanta wins otherwise loses

a)

probability that the Atlanta Braves win the World Series=0.40

b)

average number of games played regardless of winner = 5.8