Am I stupid? I can't fit these two concepts into any type of harmony.

[Alex/Mugaaz]

A: Infinity
B: Chance

Basic, maybe flawed question: Let's say you have a bankroll of 1 trillion BB's, and your winrate is 3bb/100. If you played an infinite amount of time, would you eventually bust out?

Since it is always possible that you could lose X hands, will this eventually happen since the time range is infinity? How does this concept mesh with the fact that you should always be up in the long run since you have an edge?