Video Game Gambling

Hey so I play an online game final fantasy 11 online. There is a job named corsair and their main ability is "rolling" a six-sided "die" once at a time. After each roll, you have the choice to accept your number or roll again. Traditionally, the higher the number the better the buff. If you go over the number "11" you bust and lose the buff. This is absolutely horrible, something that can never happen.

http://wiki.ffxiclopedia.org/wiki/Samurai_Roll

Basically, I want to roll a 2,7,8,9,10,11. Is there a way to do this problem without computer imulations?

Key: You will never roll on 6, ever.

Some of the Dragon Quest games have casinos in them with different games. I wish real life slot machines paid out like they do in those games, the casino would be broke in no time.