A game known to most children is rock-paper-scissors. On the count of three, each person displays rock (fist), paper (palm), or scissors (two fingers extended). Rock beats scissors, scissors beats paper, and paper beats rock. Let's say three people play according to these rules. If all three match, player 1 wins, if all three are different, player 2 wins; otherwise, player 3 wins. Is this a fair game? Why or why not? If it is not a fair game, modify the game so that it becomes fair.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A game known to most children is rock-paper-scissors. On the count of three, each person displays rock (fist), paper (palm), or scissors (two fingers extended). Rock beats scissors, scissors beats paper, and paper beats rock. Let's say three people play according to these rules. If all three match, player 1 wins, if all three are different, player 2 wins; otherwise, player 3 wins. Is this a fair game? Why or why not? If it is not a fair game, modify the game so that it becomes fair.

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