This is such a fun problem. It'll probably not interest any of you but I'll yap anyway. This is a board game and there are only 2 rules, you can sprint or stroll and you move 2 forwards if you roll 6 on sprint (otherwise go 2 backwards) and you go 1 forwards if you roll 5,6 on stroll (otherwise go 1 backwards). If you land at 1 you get eternally damned and if you land at 5 you get 1 dollar. What is the best tactic to move and what's the chance to get to the dollar?