This is a bogus mindset. Having an "infinite" BTC (which is likely not possible) will not improve your "luck". Luck has nothing to do with balance, you could even turn a few hundreds satoshi by doing 9900x multiplier .
If you are thinking that having "infinite" balance and martingale-ing 1 satoshi bet might not bust you out then you are wrong on this, there is a chance that you will bust and ofcourse risking alot just to gain 1 satoshi is stupid enough
This is going to be interesting, you are partially right and wrong.
First off, yes infinite Bitcoin is impossible to have (technically infinite of anything is kind of impossible to have except in theory). So you are right there.
Now assuming in our hypothetical land. For you to fail enough times for you to go broke you'd have to lose infinite money right? To lose infinite money you'd have to lose an infinite number of times. Now if the probability of losing is 1/n for any single bet then you could simplify that for the infinity case from (1/n)^infinity to 1/infinity which is of course considered to be 0. Hence a 0 probability of going bust.
Basically, you'd have to lose for an infinite time period to actually lose - which is impossible.
Right, Im making mistake by stating too mAny of the "infinity" words there, according to math yes it is not possible to lose if you got "infinity" however what Im trying to imply is that even with infinite amount of
BTC there will be maximum win in each site which will prevent you for your next martingale (considering you reach the highest possible amount and lose )
In real terms, it simply means have a larger bankroll and smaller bet size makes it harder to go completely broke - which common sense tells you is true.
Harder yes but even with more common sense it would be very insane to bet 1 satoshi risking quite alot of
BTC ( I think it will reach 31 losing streak before hitting maximum win , considering it is 20
BTC )