For a moment let's forget all "complicated" issues regarding a profitable bet selection so focusing more about a MM.
Consider this MM plan (already invented, btw).
We split our play into endless portions of 5 resolved hands wagered by flat betting, stopping the action whenever we have reached out a +1 profit (before tax); if we didn't manage to get a profit after those five hands bet (consecutively or not) we take the loss in units then calculating the future bet working on 5 next hands by increasing the loss by one unit up to the point where we'll cover all previous losses and getting a +1 profit (minus vig).
This plan is unbeatable mathematically as the probability to win one unit per every 5-hand betting cluster is 68.75%.
Naturally the practice collides with the theory as without a proper BS plan, we need a huge bankroll to cover all the possible negative fluctuations, sooner or later surpassing the table limits.
Each 5-hand betting cluster will get 32 possible WL combinations, all specular in term of WL numbers, but since we have chosen to stop the betting after one unit profit, now we have some combinations starting with a L working for us (namely LLWWW, LWLWW, LWWLL, LWWWL, LWWWW and LWWLW).
Therefore the probability to win one unit profit (better sayed a W>L one-step situation) per each 5-hand cluster is 22/32, that is a 68.75% winning probability.
Example.
After 5-hands bet by flat betting, the overall total would be positive right at the start 50% of the times (16 patterns start with a W) and six times over 16 whenever a L starts the pattern (the aforementioned WL patterns).
Of course the general probability to win or lose a given amount of hands is symmetrical, anyway the fact we're looking for just one unit profit tends to unbalance the ratio in some way. At the risk of the bet increase.
I've chosen to display the 5-hand clusters as I know that many bac players won't like to flat bet clusters of 7-hands, 9-hands or greater amount of odd hands.
Actually more hands we're considering for each cluster and better and more precise will be the probability to know we're working in the "right" field. Providing a proper BS is utilized.
And of course the bet increase is the decisive tool to understand whether we're randomly betting or getting the best of it by a possible edge either coming out from a bad shuffling or by bac features.
Back to the numbers.
According to this plan, the worst scenarios we are forced to face is whenever after each 5 hands bet, our total result will be -5 or -3.
That is in order to get the 68.75% edge, we must increase the future bet to 6 units or 4 units.
Naturally odds this scenario will take place are 6:32 (18.75%).
The overall remaining losing part of every 5-hand sample accounts for the other 12.5% percentage prompting just one losing hand.
Meaning that whenever we're losing, odds we'll get more than one losing hand per every 5-hands wagering are exactly 2:1.
Most experienced bac players aren't going to lose 10 hand in a row, meaning that this MM plan won't enlarge the bets by 6:1 and then 31:1 ratio standard.
That's the key point of a profitable betting.
I do not know long term winning players betting more than the double of their standard bet.
Thus restricting the bac probabilities into a 1-2 step category.
They are right, as a similar 50/50 game must be solved right at the start. Either something follows or it doesn't.
as.
Consider this MM plan (already invented, btw).
We split our play into endless portions of 5 resolved hands wagered by flat betting, stopping the action whenever we have reached out a +1 profit (before tax); if we didn't manage to get a profit after those five hands bet (consecutively or not) we take the loss in units then calculating the future bet working on 5 next hands by increasing the loss by one unit up to the point where we'll cover all previous losses and getting a +1 profit (minus vig).
This plan is unbeatable mathematically as the probability to win one unit per every 5-hand betting cluster is 68.75%.
Naturally the practice collides with the theory as without a proper BS plan, we need a huge bankroll to cover all the possible negative fluctuations, sooner or later surpassing the table limits.
Each 5-hand betting cluster will get 32 possible WL combinations, all specular in term of WL numbers, but since we have chosen to stop the betting after one unit profit, now we have some combinations starting with a L working for us (namely LLWWW, LWLWW, LWWLL, LWWWL, LWWWW and LWWLW).
Therefore the probability to win one unit profit (better sayed a W>L one-step situation) per each 5-hand cluster is 22/32, that is a 68.75% winning probability.
Example.
After 5-hands bet by flat betting, the overall total would be positive right at the start 50% of the times (16 patterns start with a W) and six times over 16 whenever a L starts the pattern (the aforementioned WL patterns).
Of course the general probability to win or lose a given amount of hands is symmetrical, anyway the fact we're looking for just one unit profit tends to unbalance the ratio in some way. At the risk of the bet increase.
I've chosen to display the 5-hand clusters as I know that many bac players won't like to flat bet clusters of 7-hands, 9-hands or greater amount of odd hands.
Actually more hands we're considering for each cluster and better and more precise will be the probability to know we're working in the "right" field. Providing a proper BS is utilized.
And of course the bet increase is the decisive tool to understand whether we're randomly betting or getting the best of it by a possible edge either coming out from a bad shuffling or by bac features.
Back to the numbers.
According to this plan, the worst scenarios we are forced to face is whenever after each 5 hands bet, our total result will be -5 or -3.
That is in order to get the 68.75% edge, we must increase the future bet to 6 units or 4 units.
Naturally odds this scenario will take place are 6:32 (18.75%).
The overall remaining losing part of every 5-hand sample accounts for the other 12.5% percentage prompting just one losing hand.
Meaning that whenever we're losing, odds we'll get more than one losing hand per every 5-hands wagering are exactly 2:1.
Most experienced bac players aren't going to lose 10 hand in a row, meaning that this MM plan won't enlarge the bets by 6:1 and then 31:1 ratio standard.
That's the key point of a profitable betting.
I do not know long term winning players betting more than the double of their standard bet.
Thus restricting the bac probabilities into a 1-2 step category.
They are right, as a similar 50/50 game must be solved right at the start. Either something follows or it doesn't.
as.