A Dice Game Involves Throwing Three Dice and Betting on One

question 12

Multiple Choice

A dice game involves throwing three dice and betting on one of the six numbers that are on the dice. The gamecosts $6 to play, and you win if the number you bet appears on any of the dice. The distribution for theoutcomes of the game (including the profit) is shown below: $$\begin{array} { c c c } \hline \text { Number of dice with your number } & \text { Profit } & \text { Probability of Observing } \\\hline 0 & - \$ 6 & 125 / 216 \\1 & \$ 6 & 75 / 216 \\2 & \$ 8 & 15 / 216 \\3 & \$ 18 & 1 / 216 \\\hline\end{array}$$ Find your expected profit from playing this game.

• A) -$0.77
• B) $0.50
• C) $6.18
• D) $3.39

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Definitions:

Visual Perception

The ability to interpret the surrounding environment by processing information contained in visible light.

Mental Rotation

The cognitive ability to rotate mental representations of two-dimensional and three-dimensional objects.

Analogical Processes

Refers to the cognitive ability to draw similarities and make comparisons between different situations, objects, or concepts based on shared attributes or relationships.

Mental Representations

Contents in the mind that stand for some object, event, or state of affairs.