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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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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