Solve the Problem $$\text { Find the optimal strategy for player } R \text {. }$$

question 48

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 :
$$\text { Find the optimal strategy for player } R \text {. }$$

• A) \(\hat{x}=\left[\begin{array}{l} \frac{19}{29} \\ \frac{10}{29} \end{array}\right]\)
• B) \(\hat{x}=\left[\begin{array}{l} \frac{2}{3} \\ \frac{1}{3} \end{array}\right]\)
• C) \(\hat{x}=\left[\begin{array}{l} 1 \\ 0 \end{array}\right]\)
• D) \(\hat{x}=\left[\begin{array}{l} \frac{10}{29} \\ \frac{19}{29} \end{array}\right]\)

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Definitions:

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Activity in which a large set of individuals, typically using information and communication technologies (ICTs), separately completes a task. The tasks best suited to crowdsourcing are those that can be decomposed into small units and then put back together, but it is also used to generate creative solutions to challenging problems.

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