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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