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 $7 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: $\begin{array}{ccc}\hline \text { Number of dice with your number } & \text { Profit } & \text { Probability } \\\hline 0 & -\$ 7 & 125 / 216 \\1 & \$ 7 & 75 / 216 \\2 & \$ 9 & 15 / 216 \\3 & \$ 21 & 1 / 216 \\\hline\end{array}$
Find your expected profit from playing this game.

A) $- \$ 0.92$
B) $\$ 3.90$
C) $\$ 7.18$
D) $\$ 0.50$