Write the payoff matrix for the given game, use Rachel as the row player.   Two players, Rachel and Charlie, each have two cards.  Rachel has one black card with the number 3 and one red card with the number 5.  Charlie has a black card with a 6 written on it and a red card with a 1.  They each select one of their cards and simultaneously show the cards.  If the cards are the same color, Rachel gets, in dollars, the sum of the two numbers shown.  If the cards are different colors, Charlie gets, in dollars, the difference of the two numbers shown.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.CR: Chapter Review
Problem 2CC: What is the row-echelon form of a matrix? What is a leading entry?
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  1.  Write the payoff matrix for the given game, use Rachel as the row player.

 

Two players, Rachel and Charlie, each have two cards.  Rachel has one black card with the number 3 and one red card with the number 5.  Charlie has a black card with a 6 written on it and a red card with a 1.  They each select one of their cards and simultaneously show the cards.  If the cards are the same color, Rachel gets, in dollars, the sum of the two numbers shown.  If the cards are different colors, Charlie gets, in dollars, the difference of the two numbers shown.

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