A shady underground casino has a fancy dice game. They allow you to roll a dice as many times as you want till a 6 appears. After each roll, if 1 appears, you will win $1. if 2 appears, you will win $2 ... if 5 appears, you win $5. You keep all your previous winnings. However, if a 6 appears, all the money you have won in the game is lost and the game ends. After each roll, if the dice number is 1-5, you can decide whether to keep the winnings or keep on rolling.