Chuck-A-Luck is a carny game in which 3 dice are tossed. You pick a number from 1 to 6. If one of the dice shows your number you gain the value of your bet; if two of the dice show your number you gain twice the value of your bet and if three of your number show, you gain three times the value of your bet. Otherwise you lose the amount you bet.
What is your expected loss for each game?
