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You are playing a number game against one opponent. One player picks an integer from 1 to 99. After hearing the first player's pick, the second player then picks a different integer from 1 to 99. Then, a random integer from 1 to 99 is chosen by a computer. Whichever player is closest to the computer's number is the winner. a) If the first player chooses the number 35, then what integer should the second player choose to maximize their chance of winning the game? b) If you were the first player to choose, what number should you choose to maximize your chance of winning the game? Assume the second player is good at this game.

You are playing a number game against one opponent. One player picks an integer from 1 to 99. After hearing the first player's pick, the second player then picks a different integer from 1 to 99. Then, a random integer from 1 to 99 is chosen by a computer. Whichever player is closest to the computer's number is the winner. a) If the first player chooses the number 35, then what integer should the second player choose to maximize their chance of winning the game? b) If you were the first player to choose, what number should you choose to maximize your chance of winning the game? Assume the second player is good at this game.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.1: Counting
Problem 1E: The Fundamental Counting Principle says that if one event can occur in m ways and a second event can...
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You are playing a number game against one opponent. One player picks an integer from 1 to 99. After hearing the first player's pick, the second player then picks a different integer from 1 to 99. Then, a random integer from 1 to 99 is chosen by a computer. Whichever player is closest to the computer's number is the winner. a) If the first player chooses the number 35, then what integer should the second player choose to maximize their chance of winning the game? b) If you were the first player to choose, what number should you choose to maximize your chance of winning the game? Assume the second player is good at this game.
Transcribed Image Text:You are playing a number game against one opponent. One player picks an integer from 1 to 99. After hearing the first player's pick, the second player then picks a different integer from 1 to 99. Then, a random integer from 1 to 99 is chosen by a computer. Whichever player is closest to the computer's number is the winner. a) If the first player chooses the number 35, then what integer should the second player choose to maximize their chance of winning the game? b) If you were the first player to choose, what number should you choose to maximize your chance of winning the game? Assume the second player is good at this game.
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