Find the Expected Payoff $M$ Be the Matrix Game Having Payoff Matrix

question 53

Multiple Choice

Find the expected payoff.
-Let $M$ be the matrix game having payoff matrix $\left[ \begin{array} { r r r } - 2 & 0 & 2 \\ 2 & - 1 & 3 \\ - 2 & 1 & 0 \end{array} \right]$ .
Find $E ( x , y )$ when $x = \left[ \begin{array} { c } \frac { 1 } { 4 } \\ \frac { 1 } { 2 } \\ \frac { 1 } { 4 } \end{array} \right]$ and $\mathbf { y } = \left[ \begin{array} { c } \frac { 1 } { 6 } \\ \frac { 1 } { 2 } \\ \frac { 1 } { 3 } \end{array} \right]$

• A) \(\frac { 13 } { 24 }\)
• B) \(\frac { 5 } { 8 }\)
• C) \(\frac { 7 } { 12 }\)
• D) \(\frac { 1 } { 2 }\)

---

Definitions:

Arena Chapel

Also known as the Scrovegni Chapel, a small church in Padua, Italy, famous for its extensive fresco cycle by Giotto, a masterpiece of early Renaissance art.

Italian City

A term referring to any of the cities in Italy, often noted for their rich history, culture, and contributions to art, architecture, and cuisine.

Padua

A city in northern Italy, known for its historic university, beautiful architecture, and art.

Loosely Curved Folds

Commonly refers to a stylistic feature in art and textiles where fabric or other materials display soft, flowing, and gently bending lines, suggesting motion or a natural, relaxed demeanor.