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A Dice Game Involves Throwing Three Dice and Betting on One

question 12

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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:  Number of dice with your number  Profit  Probability of Observing 0$6125/2161$675/2162$815/2163$181/216\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.

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Definitions:

Procedural Memory

A type of long-term memory that enables people to perform tasks without consciously thinking about them, often referred to as muscle memory, like typing or riding a bike.

Contacts

Connections or relationships with other people that can provide support, access to information, or resources.

Implicit Retrieval

A process in which memories are recalled without conscious awareness or effort, often demonstrated through the influence of past experiences on present behavior or thought.

Repetition Priming

A phenomenon where previous exposure to a stimulus enhances the ability to recall or recognize the same stimulus later.

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