A Dice Game Involves Rolling Three Dice and Betting on One

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