Question: 1.A dice game involves rolling three dice and betting on one of the six numbers that are on the dice. The game costs $9 to

1.A dice game involves rolling three dice and betting on one of the six numbers that are on the dice. The game costs $9 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:

Number of dice with your number Profit Probability

0 -$9 125/216

1 $9 75/216

2 $11 15/216

3 $27 1/216

Find your expected profit from playing this game.

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