newb99 said:
Is this probability based on playing without time limitations and that the bankroll is non-replensihable ?Newb99
Like Sonny said, pretty much always I think that is the assumption.
Also like he said, the risk depends, even with the same 1-4 spread, same game, same $roll, same everything, how much you bet and when. You could bet your money with a 90% ROR or a 26% ROR. Up to you.
But, if you are willing to take a 90% ROR betting $10-$40 with a $1K roll, while you may have a 26% ROR betting $10-$40 playing only + counts, why not bet $20-$80 with the same $1K in only + counts (numbers made up to illustrate the point lol) so you have the same 90% ROR you apparently were willing to play with in the first place?
Conversely, if you like the 26% ROR and still want to play-all, and have the same $1K roll, well, if the table min is $10, it's just not possible, is it?
The point is one can manipulate one's ROR with the same $roll. Like, maybe you even spread 1-3, $10-$30, with the same $1K and only play TC's of +2 or more and only have a 13%ish ROR.
ROR sort of depends on the EV per round vs the risk (variance or SD) per round. When that ratio is optimal, you have Kelly.
Hopefully, you get the general idea
The good news is, the flip-side is, even with a 90% ROR, you still have a 1 in 10 chance of turning your 100 unit roll into 50,000 units, your $1k into $500K
