Imagine you are playing a game of roulette... There are 2 blocks with the names "odd" or "even". If you choose odd and the random number selected is odd, you win double your money. If it isn't the correct selection, you lose what you bet.
You decide to bet based on a "fool proof" system:
At first you bet 1 on odd. If you lose, you bet 2 on odd... If you lose again you bet 4 on odd... Etc... You continue until you win: and when you win you reset your system... Starting at 1 and you continue the method. ($1,2,4,8,16,32,...$)
Let's follow a few example rounds:
- Win (gain 1) $+ 1$
- Lose, Win (lose 1, gain 4) $+ 3$
- Lose, Lose, Win (lose 3, gain 8) $+ 5$
I don't see any "fault" in this system? Is there an error, and if there is... What is it? Any answers/comments will be highly appreciated :)