Baccarat is a game of multiple asymmetrical steps

It's almost certain that baccarat may only be beaten by exploiting its innumerable asymmetrical steps acting per every shoe dealt, steps that by definition cannot be contained in a univocal cut and dried strategy.

There are infinite asym steps to take care of, and each of them must be studied by testing a large shoe sample then collecting more informations than we can.

Here's a brief list of such asym steps. (Obviously I get rid of the Banker math propensity)

1) Number and distribution of naturals

Naturals come out very often so that if an hypothetical naturals side bet would give the house a 15% or so edge we could easily destroy any casino in the universe.
And I'm not talking about card counting 8s and 9s, just considering an average distribution.
For that matter casinos could even cut off from the play two or 2,5 decks and nothing will change for us.
Unfortunately such side bet doesn't exist.

Anyway we know that naturals probability is symmetrically placed in theory but actually distributed by 'more likely' asymmetrical ranges we should consider before choosing the side to bet.
We can't catch when and where a natural spot will fall at, we do know that naturals move around more likely ranges depending upon the segment of the shoe considered.
One sided naturals probability is more than double of the asymmetrical math strenght favoring Banker, so just to simplify a lot the issue whenever we'd think a natural will come out soon we're way better to wager Player for some (few) consecutive hands than betting Banker by taking advantage of the math propensity to win.
A natural coming out at P side is a huge win whereas a natural coming out at B side is a sure long term loss.     

2) The highest two-card initial point is strongly favorite to win the final hand.

Almost every bac player do not give a cottontail rabbitsh.it about how this parameter went along the shoe dealt. (Let alone in their testings if they did any). They are interested about the win/lose destiny of the hand, bet or observed.

In reality such parameter is essential toward the final hand destiny and it moves around more likely ranges.
Sayed in another way, as long as our bets have caught more two-initial higher points than expected, the final hand destiny shouldn't bother us. And obviously I'm not referring about naturals and standing points, just about all other hands that must draw one or two cards.

3) Third card(s) nature distribution

This is a more intricate issue as many times it intervenes at both strong unfavorite or favorite situations.
It's undoubtedly sure that Player predominant shoes benefit a lot from the third card impact, way more than what third cards will help the Banker side.
In fact Banker side more often than not doesn't want to draw a third card unless it has a 0, 1 or 2 initial point.

I mean that it's more difficult to track the third card actual impact range than the above mentioned factors without registering the real outcomes, so we might simplify the problem by assigning a general positive value only at cards different than 0, 1, 2 or 3.
8s and 9s are generally bad cards for the Player but they could transform a very bad situation into a wonderful one.

Anyway the third cards impact follow some more likely ranges, surpassed whom we're not interested to 'guess' anything unless we want to take the 'sky's the limit' approach thus considering 'potential' probabilities as 'virtual' probabilities but with no guarantee to succeed.

as.

Notice to not make confusion between final points probability and actual final winning probability.

as. 

Hi KFB and thanks for your reply.

Original authors of such a system investigated deeply the game by a strict mathematical approach, they didn't mention the previous BP gap other than by the rules I've written here.
So I do not know if your idea could be implemented in the system.
Only a program could solve the issue.

What I could provide is this:

The largest majority of winning points at either side are included within the 9-4 final points.
At Banker side this probability is 73.1% vs a Player's 70.8%.
Considering this final points range, Player odd and even final points are perfectly symmetrical in their probability to happen whereas at Banker side odd points amount to a 37.2% percentage and even points to a 35.9% probability.

Obviously this odd/even final points range must someway invert at the other less likely winning points range, that is points 3, 2 and 1.
Now Banker side will get a 19.4% share and Player a 21% share.

Naturally a 0 final point can't win, anyway this possibility comes out 7.5% of the times at Banker side and 8.2% at Player side.

Not suprisingly and taking into account both sides the highest final points gap shows up at 5 point (3% propensity for Banker side) and at 4 point (2.4% propensity for Player side), the actual situations where baccarat rules advantaging Banker will work most.

In addition, Banker final odd points account for a 37.2% probability vs a final even points of 35.9%.

After all it's not a bad idea to play toward math percentages under conditonal probabilities happened. 

as.

A card counting system

Card counting doesn't work at baccarat, right?
Not necessarily.

Some time ago I've picked up this interesting method involving a card counting technique along with simple math features that gave us some valuable hints. After innumerable tests, we've modified it in such a way:

9 = +12
8 = +10
7 = +7
6 = +5
5 = +8
4 = +8
3 = +2.5
2 = +2.5
A = +1
10s and Paints = 0

Differently to any other card counting method where the sum is 0, here card values only add up giving some totals.
Our range of interest considers a cutoff point after 2/3 of hands are dealt (ties included of course).

Thus we assume that 50 hands dealt are a fair way to take such 2/3 percentage trigger.

Rules

1) We'll consider to bet only whether after 50 hands dealt the total sum is restricted within the 952-1180 range.

2) In the previous 50 hands shoe sample, Player results had to come out more by even winning points than odd winning points.
In the relatively unlikely situation that P even winning points = P odd winning points, we may still consider to bet if the total sum approaches the low end of the 952-1180 range (average point is 1066)

3) The initial burnt card must be counted.

4) For obvious reasons, lower the initial burnt card is more reliable will be our counting.

Naturally it's a wise move not to play at those casinos which like to cut down from the play many cards, anyway as long as less than one deck is unplayable we're doing good.

What to bet if all of the above conditions are fulfilled.

In the remaining 25 or so hands, there's a substantial math propensity to get Banker side not forming heavy negative outliers, meaning that at this 25 hands 'conditioned' sample Banker side will get a fair number of winning hands over the possible total outcomes.

Notice that this doesn't mean the Banker will get more winning hands than losing hands, just that sd values will be way more restricted than expected.

This is the only exception to step away from a strict flat betting scheme as now we have reasons to adopt a kind of progressive plan (multilayered multiple step schemes).

Disadvantages of such a system

1) Shoes fulfilling all the above parameters are rare to happen.

Even if the maximum limit of total sum range stays around an average value, best opportunities come out at the lower end of such range and they are quite unlikely to happen. 

Think that at baccarat more odd points than even points are made and we need a sort of inversion distribution to show up at Player side.

2) Possible numerous ties happening at this 25 hands segment could dilute a favourable conditional probability up to a point where we may find ourselves to be stuck without the room to get a fair number of winning hands.
We've found out that this is the very threat of such a system.

3) The indispensable tool to observe the shoe right at the start of it.


An opposite line of thought could orient us to think that whenever such conditions aren't fulfilled (it happens on the majority of the times) Player side will be more likely to get the same opposite propensity but our tests have clearly shown that this kind of reasonment is untrue.
Mostly for the odd/even points math nature of bac outcomes.

as.

Best baccarat player in the world (again)

The best bac player in the world is one capable to be ahead after 7-10 shoes played, meaning that in the vast majority of the times the 7-10 shoes probability range will happen by ascertained values not likely reaching outliers that of course could be astoundingly good or terribly bad.
Therefore under normal situations and providing a fair number of hands bet per shoe, recreational players and 'I'm the new genius in town' players will get a very slim probability to be ahead after such 10 shoes sample.

As sayed many times here, progressive plans do not solve such a problem, they just dilute it.
So without any doubt, a flat betting scheme or a very slow multilayered wagering (as brilliantly proposed by KFB in his section) is the answer to know if we're really doing good or just getting a fluke.

No room to false illusions.

After a 10 shoe sample, in the vast majority of the times we must be ahead of something by flat betting (or any strategy very close to it).
If not we're fooling ourselves.

This statement is so true that even by betting just 5-6 hands per shoe and after a 10 shoe sample, probability to be eventually ahead will be strongly shifted toward the negative territory. And by percentages well surpassing the math negative edge.

If this weren't true, baccarat wouldn't exist.
Transforming the issue, there are times when we should follow average clustered situations and other times where the 'clustering effect' on average is less likely to happen.

Lesser the number of bets we'll make per shoe, higher will be our probability of success.

as.

See you next week

as.

   

As long as an asymmetrical game provides not perfect random but dependent and finite successions we can't lose

Providing we can bet whenever we wish.

This statement may be set in stone by a 100% accuracy.

Besides the key assumptions made by R. Von Mises on randomness and M. v. Smoluchoswki studies we took decisive hints from, a shuffled deck makes more probable than not and at various degrees some events than others.
Diaconis and Bloom (and others) made extensive works on the subject, obviously not specifically considering baccarat.

Shuffle thoroughly a single deck of cards and itlr you'll get precise values of some events happening (for example red/black card apparition in streaks or 'chops'). By increasing the number of decks employed, such features will approximate but tending to proportionally deviate in relationship of the number of decks utilized (for the impact of variance).

It's obvious that at baccarat red or black cards distribution doesn't matter, so the process is more complicated to be grasped and naturally it should be assessed toward the 'average' key card concentration/dilution.

Since we do know that an average number of rows and columns will be formed, we may infer that at some points such key card distribution will make more probable some events than others.

Fortunately no need to track cards, average patterns and other tools will make the job for us.

See you in a couple of days.

as.

What many players may think is a simple event is in reality a "Complex" event. Meaning many things have to line up for it to present.

+1 KFB!!

We humans are shaped to look for patterns and ancestors looked for patterns coming out by 'clumps'.

More interestingly, a lot of studies proved our inability to detect random and unrandom patterns, in the sense that most subjects wrongly assigned the proper 'random' and 'unrandom' feature at the tasks examined.
(See Muller, 2001) for example.

So it's not surprising that most baccarat players like to detect patterns knowing or thinking the distribution to be random (so unbeatable) whereas on the contrary manufactured unrandom patterns are considered as 'undetectable' for possibly showing 'too low' concentrated clumps to take advantage from.
That's why the 'complexity' factor will be one of the keys helping us to solve the puzzle as acting both at random and unrandom shuffled shoes.

Actually perfect randomly shuffled shoes do not exist or at least the 'random' feature cannot be proportionally distributed along a 416 cards shoe.
This is a different statement than accepting a sure dependence of the results that solely taken cannot lead to nowhere.

Thus in the real world some (or many) unrandom segments will happen per every shoe dealt, so the complexity parameter might take a different role whether applied to a random model or to a unrandom model, in the sense that the previous patterns and the number of hands dealt so far constitute a decisive parameter to look for.


More on that later.

as.

Thanks KFB!!

Average card distribution

Don't make the mistake to consider baccarat as a game where everything could happen per every shoe dealt; but do not make the more fatal error of thinking that a method could get the best of it at every shoe dealt.

For example, we know that a given amount of rows and columns will be filled per every shoe no matter how weird is the actual card distribution.

Since we are not interested to guess every hand or most hands dealt per shoe, we instead should be inclined to understand what's the actual patterns flow in relationship of the general average findings.
And this is a strict card distribution issue obviously depending upon the possible unrandomness as outliers (strong deviations) are more likely to show up when the unrandomness level is quite high.

Naturally such unrandomness is symmetrical, in the sense that we can hugely benefit from it or giving us harsh times when it doesn't go in our favor.
Most of the times unrandom levels are low or very low, so they do not constitute a sort of 'stop' or 'sky's the limit' situations affecting our strategy, yet itlr it's more likely to get strong deviations when the distribution is unrandom rather than attributing it to normal fluctuations a random model exhibits. In a word unrandom distributions get a slight than expected probability to form clusters. 

Example.

Our targeted complex pattern will come out, on average, 4 times per shoe.
Since we've tested that generally we could get a huge control of its dispersion values, we number the general probabilities of such event coming out (Y) or not (N) at the actual shoe we're playing at:

YYYY
YYYN
YYNY
YYNN
YNYY
YNNY
YNYN
YNNN
NNNN
NNNY
NNYN
NNYY
NYNN
NYYN
NYNY
NYYY

Now we're not interested to hope that Y>N as Y=N, let alone to 'follow' seemingly univocal patterns (e.g. betting Y after YY or N after NN), just to get at least one symbol of each category to show up clustered at some point, obviously knowing that the 'average' 4 apparitions could fail, (it may be 3 or 5 or other).
Thus the position of such complex apparition along the shoe does make a huge impact over our strategy.

The expected probability to get any YY or NN pattern in a 4-betting trial applied to an independent random model is 14/16 (87.5%); naturally the remaining 12.5% YNYN and NYNY symmetrical occurences will proportionally cancel any advantage.
But baccarat is not an independent random model, especially while taking complex events as 'triggers'.
It's like that the 87.5% probability increases to 89% or more. Now we get an advantage.

But another pivotal effect of baccarat distributions is that complex events show itlr a minor than expected propensity to produce YYYY and NNNN patterns so increasing the apparition of the other more likely 12 patterns not forming an 'alternating' process (YNYN and NYNY).

Therefore less likely events showing up are NNNN, YYYY, YNYN and NYNY.

Remember again that we're not talking about B and P hands but about 'complex' events.
So in any instance B or P do correspond to Y or N.

The 4 average event apparition per shoe is just an example.
There are infinite 'complex' patterns to look for. I've chosen a decent average event's rate, a kind of 5.33% trigger considering 75 resolved hands per shoe.

The important thing to know, imo, is to never chase a situation to be clustered unless deriving from some kind of a 'complexity'.
Complexity tends to get rid of short term variance (platykurtic distribution), the actual distribution casinos make a lot of money from.

as.

Another nice post Al!
Best part imo Is Influence Is Huge

as.

Thanks Al and KFB for your replies.

@Alrelax: yep, the 'whole' shoe picture is defined at the end of it, yet imo there are costant 'average' probabilities that something will stay or turn into an opposite direction so strong 'educated' guesses must be made upon such 'averages'.
Obviously your 'sections' point of view is of utmost importance.

@KFB: spot on! When we think as baccarat as a game of 'ranges' we can't fail. By any means.

Baccarat is a game of numbers #2

Exhaustive long term observations made on a large live shoes sample let us to think that baccarat patterns move around 'ranges' not corresponding to an infinite 0.5068/0.4932 model, the very thing literature has taught us for years.

Nobody is arguing about the long term B and P probability, just that shoe per shoe certain betting 'ranges' assume more detectable shapes measured by sd values different to a still general probability model.

Technically our WL results put into a graphic will take a leptokurtic distribution, that is a distribution where elements are concentrated around the mean and where the variance is minimal.

Thus as long as our betting scheme moves into this restricted field we can't fear anything 'strongly' bad or 'strongly' good and of course winning and losing processes will be affected too.

Naturally a leptokurtic distribution doesn't favor one side or another, it just remains symmetrically concentrated around the 0 point.
In another words, our betting 'random walk' makes shorter steps than expected and surely crossing several times the 0 point. (We named it a 'limited' random walk)

How to make our betting scheme to form a leptokurtic distribution touching several times the 0 point

1) getting rid of many B/P hands confusing the whole picture;

2) knowing the average general probability to get some 'complex' patterns more likely crossing the 0 point;

3) taking for grant that each class of positive or negative steps must be be equal itlr;

4) comparing the general probability with the actual probability in terms of more likely clusters.

5) evaluating the unrandomness level of every shoe dealt. 


Point #1 was touched many times here.
Only id.i.ots could think to beat the game by betting every hand or most hands dealt.
The very exact players' class casinos are very happy to get at their tables.
Probability such players will get a leptokurtic curve results is zero.

Point #2 is the decisive factor to look for. It's the most serious duty any serious player should be inclined to find out.

Point #3 is very important too.
Positive or negative step classes are surely going to be balanced itlr or more likely partially balanced in the same shoe: this last occurence happens around 70% of the times.
A wonderful 'average' probability to rely upon.

Point #4 is another decisive factor to look for, so i'll make an example.
Along each shoe dealt there's a probability to get an average number of 1-2 patterns and an average lenght going along.
We know that per every shoe dealt the probability NOT to get a 1-2 cluster of any lenght is 0, yet this probability is related to the actual streaks lenght.
Since the shoe is finite, particularly very long streaks put a serious threat about such probability in the sense that long streaks make less probable to get a proper average number of 1-2 clusters.
So even if we're deadly sure that 1-2 will come out clustered at least once per every shoe dealt,  we must know that in very rare occurences singled 1-2 situations may show up even for 5 or 6 steps (Yes, this is a very strong and very very unlikely scenario but it could happen).

Point #5 is probably the factor why we're constantly beating this game (the other option is because we're geniuses deserving a baccarat Nobel prize, lol).
We'll see it in a couple of days.

as. 

5) Baccarat is a game of numbers

At gambling games when you provide numbers you look smarter, especially if numbers derive from complicated math formulas where 99.9% of common people won't know a bit about.

On the other end, without numbers we can't estimate whether our method may get a decent chance to win itlr, but for obvious reasons 'the long run' is shorter than the infinite field where math formulas apply.

Simplyfing the subject, either a given method/approach works or it doesn't and we do not need millions of shoes tested to verify this.
And imo the only way to ascertain this is to assess if our method will get more wins than losses that in another way means that wins and losses are restricted within 'ranges' getting lower sd values than expected.

Say we have two possible events A and B (having a nearly 50/50 probability to appear) spreading into finite distinct successions of 75 or so propositions.
We do not know which A or B side will get a constant or volatile edge over the other one, but given the kind of 'coin flip' premise we may infer that A and B patterns will be distributed by a kind of binomial probability that constitutes our 'control group'.
Such control group is opposed to our method oriented to somewhat negating such unbeatable binomial probability (moreover knowing the game is burdened by a constant EV-).

At the end, the more our method 'numbers' deviates from a kind of binomial probability 'numbers', greater will be the probability to think that our method is really successful.

Baccarat literature is based too much (or only) about classical probability not caring a bit about the frequentist approach.
This last one is the only tool we have at our disposal to evaluate 'complex' patterns distribution by 'ranges' (so numbers), patterns that are made first by the actual card distribution and then by math instrinsic features.
 
Putting things into another perspective, single B or P hands (let alone mere Banker advantaged situations) do not mean nothing to us as it's the whole shoe picture that matters.

In fact complex patterns need a way greater amount of hands to get univocal results standing for long as they must fight against a strong asymmetrical production happening for the entire shoe and/or math features belonging to an average key card distribution (a finite and dependent process!)

In a word, complex patterns tend to exhibit manageable and detectable values capable to easily erase and invert to our favor the HE.

And of course complex patterns move around measurable numbers moving around strong limited ranges, the real thing we should be happy to know.

But what's a 'complex' pattern?
 
as.

Thanks KFB!
I agree you are not the exact person every casino would be glad to get at their bac tables.

A lot of stuff to be digested, I need some time to possibly make some questions.

Cheers

as.

-NO SIDE: any card having a value of 1, 2 or 3

-TWO SIDE: any card having a value of 4 or 5.

-THREE SIDE: any card having a value of 6, 7 or 8.

- FOUR SIDE: any 9 or 10.

Good thread!

ITLR= in the long run

BR= big road

BYB= big eye boy road

SR= small road

CR= cockroach road

BP= bead plate road

T= tie

AS= asymmetrical hand (favoring Banker side)

S= symmetrical hand (no third card affecting Banker options)

HS= high stakes

L6= Lucky 6

Monkey= any picture card or 10 card value

as.