A Dice Game Involves Rolling Three Dice and Betting on One

question 43

Multiple Choice

A dice game involves rolling three dice and betting on one of the six numbers that are on the dice. The game costs $11 to play, and you win if the number you bet appears on any of the dice. The distribution for the outcomes of the game (including the profit) is shown below: 0 -$11 125/216 $$\begin{array} { c c c } \hline \text { Number of dice with your number } & \text { Profit } & \text { Probability } \\\hline 0 & - \$ 11 & 125 / 216 \\1 & \$ 11 & 75 / 216 \\2 & \$ 13 & 15 / 216 \\3 & \$ 33 & 1 / 216 \\\hline\end{array}$$ Find your expected profit from playing this game.

• A) -$1.53
• B) $0.50
• C) $11.20
• D) $5.96

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Definitions:

Budgetary Responsibility

The obligation to manage financial resources within the limits of an approved budget in an organization.

Overall Planning

The comprehensive process of setting goals, defining strategies to achieve those goals, and developing tasks and schedules to implement the strategies.

Overall Supervision

The comprehensive oversight and direction of activities and processes within an organization to ensure goals are met.

Overall Control

The comprehensive management and regulation of all aspects of a project, process, or organization to ensure that objectives are achieved efficiently and effectively.