Solve the Problem $\frac { 19 } { 29 }$ B) $\frac { 1 } { 2 }$

Multiple Choice

Solve the problem.
-Player R has two cards: a red 2 and a black 8. Player C has three cards: a red 3, a black 5, and a black 10. They each show one of their cards. If the cards are the same color, C receives the larger of
The two numbers. If the cards are of different colors, R receives the sum of the two numbers. The
Payoff matrix is :
Find the value of the game.

A) $\frac { 19 } { 29 }$
B) $\frac { 1 } { 2 }$
C) $\frac { 10 } { 29 }$
D) $\frac { 53 } { 29 }$