A Game Is Said to Be "Fair" If the Expected

question 40

Essay

A game is said to be "fair" if the expected value for winnings is 0, that is, in the long run, the player can expect to win 0. Consider the following game. The game costs $1 to play and the winnings are $5 for red, $3 for blue, $2 for yellow, and nothing for white. The following probabilities apply. What are your expected winnings? Does the game favor the player or
the owner? $$\begin{array} { r | r } \text { Outcome } & \text { Probability } \\\hline \text { Red } & .02 \\\text { Blue } & .04 \\\text { Yellow } & .16 \\\text { White } & .78\end{array}$$

---

Definitions:

Indirect Materials

Materials used in the production process that cannot be directly linked to a specific product, such as lubricants and cleaning supplies.

Factory Overhead

All indirect costs related to manufacturing, excluding direct materials and direct labor, like utilities, depreciation, and maintenance expenses.

Product Units

Refers to the individual items or quantities of a product that are produced or available for purchase.

Factory Overhead

Refers to the indirect manufacturing costs that are not directly traceable to specific units produced, including utilities, depreciation, and salaries for factory staff.