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A dice game involves rolling three dice and betting on one of the six numbers that are on the dice. The game costs $7

 

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: Number of dice with your number 0 1 2 3 Profit -$7 $7 $9 $21 Find your expected profit from playing this game. Probability 125/216 75/216 15/216 1/216

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