This problem has been solved! See the answer A dice game involves throwing three dice and betting on one of the six numbers that are on the dice. The game costs $6 to play, and you win if the number you bet appears on any of the dice. The distribution for the outcomes of the games (including profit) is shown below: # of dice w/your number Profit Probability 0 -$6 125/216 1 $6 75/216 2 $8 15/216 3 $18 1/216