14.1-3. Consider the following parlor game to be played between two players. Each player begins with three chips: one red, one white, and one blue. Each chip can be used only once. To begin, each player selects one of her chips and places it on the table, concealed. Both players then uncover the chips and determine the payoff to the winning player. In particular, if both players play the same kind of chip, it is a draw; otherwise, the fol- lowing table indicates the winner and how much she receives from the other player. Next, each player selects one of her two remain- ing chips and repeats the procedure, resulting in another payoff ac- cording to the following table. Finally, each player plays her one remaining chip, resulting in the third and final payoff. Winning Chip Payoff ($) Red beats white 90 White beats blue 70 Blue beats red 50 Matching colors

14.1-3. Consider the following parlor game to be played between two players. Each player begins with three chips: one red, one white, and one blue. Each chip can be used only once. To begin, each player selects one of her chips and places it on the table, concealed. Both players then uncover the chips and determine the payoff to the winning player. In particular, if both players play the same kind of chip, it is a draw; otherwise, the fol- lowing table indicates the winner and how much she receives from the other player. Next, each player selects one of her two remain- ing chips and repeats the procedure, resulting in another payoff ac- cording to the following table. Finally, each player plays her one remaining chip, resulting in the third and final payoff. Winning Chip Payoff ($) Red beats white 90 White beats blue 70 Blue beats red 50 Matching colors

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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