Now the "battle" is not by guessing what happens next, just about comparing the two patterns considered in a specific position after running two different paced successions (BYB and SR, in our example).

This "trick" allow us to emphatize at most the natural asymmetrical features of the game, a thing that for sure will give us an edge.

After all the CFS cannot be homogeneous for long at two different sub sequences originated by a diverse pace (anyway not getting the common unbeatable binomial fluctuations), a kind of important proof that RVM and M. Von Smoluchoswki ideas are particularly effective in order to help us to define the baccarat problem.

Carefully studying two sub successions originated by the same sequence and getting a different pace will give us plenty of opportunities to take advantage and to restrict at most the biased limited values of relative frequency.

Of course natural and "coincidental" low level symmetrical patterns may happen for relatively "long" time, no matter which random walks we decide to utilize, yet the probability of success reamins higher than expected.

as.

Positional relationship between two derived roads

Consider the Big Eye Boy (BEB) and the Small Road (SR) successions taken column by column.
The pace starts as asymmetrical as SR needs more hands to initiate its sequence.
Then the density of the streaks happening at each succession will alter the positional paces, so it could happen that one road is quite prolonged and the other one is slow to fill the respective columns.
What we are interested at are the patterns showing up at the same column number.

more later

as.

CFS is made by + and - signs where + is any step moving toward the right (horizontal line) and - any step stalling (vertical lines).

So any + sign is any side shift and any - sign correspond to the same side happening again once or more times.
From a pattern point of view the only "long" +-+-+-... events are consecutive doubles, so we may consider them as the perfect form of CFS symmetry, everything else will accelerate or slow down the columns filling speed (CFS).

Considering  8 resolved BP hands, the fastest, the slowest and the most neutral speeds are: 

BPBPBPBP = +++++++
PBPBPBPB = +++++++

BBBBBBBB = -------
PPPPPPPP = -------

BBPPBBPP = -+-+-+-
PPBBPPBB = -+-+-+-

Those are just 6 out of the possible 128 patterns (first hand is the signal) coming out from any 8 resolved hand series.
In some sense they are "extremes" at either way.
Furthermore a kind of symmetrical movement acting for 7 or more consecutive steps can only come out from a 3,5 doubles consecutive appearance (2/128 probability).

Since an 8-deck shoe on average will form around 75 resolved hands, we know that we're facing close  to ten 7-hand situations.

Of course we do not want to consider doubles as "enemies", actually we are relatively more worried about long consecutive doubles successions that should be interpreted as a steady symmetrical (unwanted) distribution.

For example, a BPPBPPBPP (+-++-++-) sequence is an asymmetrical succession albeit showing two doubles).

On the other hand, we can't rule out long consecutive doubles successions (7, 8 or more doubles coming in a row) more likely to show up (even if very rarely) at some shuffling productions.

I've stated one millions of times here that at baccarat a kind of overalternating movement is the less likely to happen among others: the average consecutive doubles distribution could be a good start to investigate how a bac shoe really develops.

So it's not about HOW LONG a same sign (+ or -) will stand but about approximating at best WHEN either + or - clusters will show up by "categories" (clusters of one, clusters of two, etc).

After all consecutive doubles do not come out around any corner and anyway there are some tricks to partially get rid of them by following some derived random walks.

See you tomorrow.

as.

Anyway here some Big Road shoes really played: (A=asym pattern, S=sym pattern)
E= easy shoe, M=moderate shoe, T= tough shoe

A-A-A-A-A-A-A-A-A-A-A-A-S-A-A-A-S-S-A-A-S-A-A-S-S (E)

A-A-A-A-A-S-S-A-A-S-A-A-S-A-A-A-A-A-A-S-A-S (E)

S-A-A-A-A-S-S-A-S-S-A-A-A-A-A-A-A-S-A  (E)

S-A-A-A-A-A-A-S-A-A-A-A-A-A-S-S-A-A-A-A-A-S (E)

S-A-S-A-S-A-A-A-A-S-A-A-A-S-S-S (E)

A-A-A-S-A-A-A-A-A-S-A-S-A-S-A-A  (E)

A-A-A-A-A-A-A-A-A-A-A-A-A-A-A-A-A-S-S (E)

A-A-S-A-A-S-A-A-A-S-A-A-A-S-A-A-A-A-A-S-A-A-A-A-A (E)

A-A-S-A-A-A-A-A-A-A-A-A-A-A-A-A-A-A-S-A-A-S-S-A (E)

S-A-A-S-A-A-A-A-S-A-A-A-A-A-S-S-A-S-A-S-A-A-S  (E)

S-A-A-A-A-A-A-S-A-A-S-A-A-A-A-S-A-A-A-S-A-A-A-A  (E)

A-A-A-A-S-A-A-A-S-A-A-A-A-A-A-S-A-A-S-A-A-A  (E)

A-A-S-A-A-S-S-A-A-A-A-S-S-A-S-S  (M)

A-S-S-A-S-S-A-A-S-S-A-A-A-S-S-A-S  (M)

A-S-A-S-A-A-A-A-S-A-A-A-S-A-A-A-A-A-A-A-A-S (E)

A-S-A-A-S-A-S-S-S-A-A-A-A-S-A-A-A-A-A-A-A (E/M)

A-A-S-S-A-A-S-S-S-A-A-S-S-S-A-A-S-A (T)

A-A-A-S-A-S-A-A-A-A-A-A-A-A-S-S-S-A (E/M)

A-A-A-A-A-A-A-A-A-S-A-A-A-A-A-A-A-S-A-A-A-S-S (E)

S-S-S-S-S-A-S-A-S-A-A* (T)

S-S-A-A-A-S-A-S-A-A-A-S-A-A-S (E)

S-A-A-A-S-S-S-A-A-S-A-A-A-A-A-A-S (E/M)

A-A-A-A-A-A-S-A-A-A-S-A-A-A-A-S-A-A-S-A (E)

A-A-A-S-S-S-A-A-A-A-A-A-A-A-A-A-S-A (E)

*: a very rare back-to-back 5 S sequence

as.

99.99% of baccarat players quit the tables as moderate or huge winners anytime a kind of long univocal situation(s) happen; Most part of players make a living a this game quit the tables as low or very low winners, so not relying upon long univocal situations.

If experts improperly label baccarat as a "coin flip" game they have reasons to state that.
Long winning streaks=long losing streaks plus something and long winning streaks come from steady univocal situations getting the same probability of long losing streaks.

What happens "good" sooner or later will transform into "bad", so in some sense we should be more prepared to face the "bad" than trying to get the "good" around every corner.

Technically here we've seen several ideas (yet based upon long term statistical findings) to try to restrict at most the bad instead of steadily looking for the good.

And IMO this task involves a lot of patience as there are no easy countermeasures to be employed other than by staying still, maybe waiting for the next shoe.

As Alrelax pointed out several times here, an approach works until it doesn't.
Unfortunately casinos profits made worldwide teach us that the vast majority of approaches do not work.

Asymmetrical vs symmetrical successions

With the A/B patterns seen above and somewhat limited in their AS/S appearance, we know beyond any shadow of doubt that the good (asym consecutive events) will be proportionally longer than the bad (sym consecutive events).
That alone is not sufficient to set up a long term winning plan as too many situations will form "unsound" results in relationship of what we'd expect to face. In poorer words, AS-AS>AS-S or S-AS>S-S and every other superior ratio (as S-S-AS>S-S-S, etc), will be easily counterfeited by just one wrong card falling. 

Therefore we should be more interested to consider results of every shoe as a "whole" and comparing it with our old average shoe category.
Whenever things seem to be "too weird distributed in terms of card combinations" we should put the brakes on. In fact odds are that this shoe doesn't fit the category.
The same about shoes featuring a high number of ties (unresolved hands).

When to bet for AS patterns

A general plan could be devised as:

1- Bet AS after a single S event (P1)

2- Bet AS after two S events (P2)

3- Bet AS after any AS event (Px)

Such attacks taken individually will be so balanced in their apparition that even a kind of brainless progression (both positive and negative) will get the best of it.
Way better is to start the action after a fictional multi shoes negative situation happened.

Remember that we're not necessarily considering the Big Road, actually this is the worst succession to take care of.

as.

Example.

We know that per every shoe dealt the probability to get all or just one asymmetrical patterns is very low.
Therefore more than one symmetrical pattern MUST come out at some portion of the shoe.

Since we are not belonging to the category of those id.iots thinking that it's possible to read randomness or profitably following patterns, we must be prepared to face symmetrical patterns that we empirically labeled as "unprofitable".

Now it's up to us whether we want to select at most our betting opportunities or to hope we'll able to humanly guess a greater than 50% of total situations.
The latter scenario is what really fuels the game and casinos' profits.

Gambling experts of my a$$ teach us that every hand is a new hand no matter what.

Bighornsh.it.

Since cards are surely asymmetrically distributed, related results will be surely asymmetrically distributed.
Maybe sometimes results will take a kind of symmetrical shape for quite long but that's not the rule.

So let's falsify such hypothesis and starting to bet towards symmetry.
You'll go broke very soon or at least sooner than by wagering a kind of asymmetrical approach.

As long as symmetrical patterns will be consecutively placed by lower proportionally levels than asymmetrical patterns we will be in good shape.

We'll be back on this issue in a couple of days.

as.

The main problem about A/S (A= asymmetrical patterns, S= symmetrical patterns) occurences is that several times just one hand that went "wrong" will transform sure AS more likely sequences into a "long" S one, so disrupting a more probable flow.

Consider this A/S sequence.

A-S-S-S-S-A-A-A-A-S-A-A-A

In this bac succession the S marked in bold/red was a more natural opposite winning side (actually was a standing 7 point vs a 4 point that catched a third card 4) so more likely to produce a AS hand than a S hand; thus the above sequence would be read as:

A-S-S-A-S-A-A-A-A-S-A-A-A

And actually this is, by far, the most likely A/S situation happening, that is a fair number of A clusters and a "limited" number of singled or doubled S events.
 
Obviously such "unsound math" hands could easily go at our favor (that is forming A events where S situations were more supposed to show up) but we shouldn't be so happy to win such hands for long.

So solely playing for A events is the best action to make, yet possible consecutive shoes not fitting our plan will pose a real threat to our plan in terms of variance.

In order to set up a multilayered betting scheme (or a super selected flat betting method) we must take into account the WORST possible scenarios, that is a strong very very unlikely distribution of shoes not fitting the "average shoe" requisites.

I talked about shoes and not about hands.

Here's a brief list of real played shoes at HS rooms (preordered shuffled shoes), presented in the natural succession we've encountered them. Our random walk was utilized but event the big road succession will fit the concept. 
Feel free to re-arrange such shoes in the worst possible sequence.

For the purpose of the S average distribution I'll mention only S sequences (0.25% general probability to appear).
1= one S event
2= two consecutive S events
and so on

1-1-1-3

1

1-1-2-1

2-1

2-1

2-1

1-2

2-1

1-1

1-1-1-1

2-1

1-2

1-2

1-1-1

1-4

2-1-2-1

1

0

2-1-1-1

1-1-1

1-1-1-2

1-1-1-1-(2)

1-(2)

1-1-1-1

1-1-2

2-2-1

1-2

1-1-1

1-1-1-1-(2)

1-1

1-2

2-1-1-1-1

1

1-1

1-2-1

2-2

4-1

1-1-1-1-(2)

1-1

1-1-1

1-2

1-1

1-1-2-1

1-2-1-1-2

2

1-2

1-1-1

1

2-1-1

3-1-2

1-1-1

1-2-1-1

2-1

1-1-1-1-2

1-1-2

1

1-1

1-1-1-(2)

2-1-(2)

1-1-(2)

1-1

1-1-2

2-1-1-1

3-2-1

3

1-1-1

1-2-1

2-1-2

1-1-1

1-1-1-2

2-1-2-1

1-1

1-1

1-1(2)

1-1-1

1-1-3-1

1-3-1-1

1

1-1-1-1

1

1-1

1

1-1

1-1-1-1

1-2-2-(2)

2

1-1

1-3

1

1-1-1

1-2-1

1-1-1-1-(2)

1

1-2-1-1

1-1

1-2-1

1-1

1-1-2

1-1-1-1

1-1

1-1-2

1-2

1-1-3

2-1-2

1-1

1

1-1-2

1-2-1-1-1

1-1-1

2-1

1-2

1-1-1-1

1-1-2-1

2

1-1-1-1

1-1-1

2-1-1-1

1-2-1

1-1-3

1-1-(2)

1

1-1-2

1-1-2

1-1

1-1-1-1

3-3

1-1

1-2

2-2

2

1-4

2

1-1-2

2

1

1-1

1-2-1-1-1

2-1

2

1-1-1-2

1-1-1-(2)

1-1

1-2-1

1-1-1

1

4-3

1-2-1-1-1-1

2-1-2-1

1-1

1-1-(2)

1-1

1-1-1

1-1

2-1

3-2-1

2-2

2-1-1-1-1

1-1-1

1-3

1-1-1-1

1-1-1-(2)

1-1-1-2-1

oOoOo

Well, are those sequences performing a kind of "more likely patterns" in terms of numbers?

Notice that whereas the definition of A pattern is quite easy, the definition of a S pattern stops after the first level of symmetry happening.

So a (AABB)AB pattern (S pattern) should be considered as equal to a (AABBAABBAABB...) pattern, the same about consecutive patterns as AAABBBB or AAAAAAAABBBBAAABBBBBB, etc.

Sayed in another form, S patterns are those back to back patterns formed by the same or superior quantity related to the previous pattern up to the old 3-step degree.

Notice that more S numbers are displayed and shorter were the A sequences and vice versa.

Thus instead of guessing the unguessable, try to assign a deviation value to each fictional player  wagering for us and betting towards more probable specific levels of less likely symmetry.

P1 will bet towards level 1 of symmetry, so waiting the appearance of 1-step events of symmetry then wagering for the symmetry to stop after a given negative deviation happened.

P2 will bet towards level 2 of symmetry, so waiting the appearance of 2-step events of symmetry then wagering for the symmetry to stop after a negative deviation happened.

Px is our "id.iot gambler" so endlessly wagering towards the asymmetry, always considered by clusters. So meaning that it doesn't start the action until an asymmetrical event had shown up.

Merging the three players action together the W/L ratio at carefully selected spots will be way higher than 0.75.
So capable to erase and invert the HE.

as.

But what are the more likely AS/S occurrences along any shoe dealt?

And are there ploys to avoid strong negative deviations?

See you later

as.
   

Hi KFB!

It is my opinion FREEPLAY is very important to most players.

However, the EV is obviously very high on free play/

I totally agree, still not tkinking that many players are really interested in them.

Among the various promotions, freeplay is one of the best for the players.
On one occasion I remember a woman tossing a $50 freeplay voucher and then quitting the table with more than a $4.000 win...no bad.
Since this player hadn't played any table game once in her life, she was 100% freerolling with casino's money (she got the FP voucher as a hotel guest).
I don't know if after this wonderful experience now she's a baccarat lover, hope she doesn't.

Why not taking advantage of getting back some EV- by playing at some premises that give FP tickets?

as.

Welcome back Bally, it's always nice to see you in this site.
Hope you'll restart to post.

as.

Hi KFB!

Ouch, I guess it's just coincidental...a weird coincidence though.

Never investigated the ACV but I know you don't miss anything...


One should look at baccarat wagers just like shopping. Sometimes the wager is worth more than what we pay for it and sometimes wagers are selling for a price greater than their value. Optimally we should shop to pay $48 for a $52 dollar wager. Sometimes there are even better deals. However, often there may only be a half dozen or so good deals per shoe.

Can't agree more on that.

as.

At baccarat itlr the asymmetrical propensity will be slight superior than the symmetrical one, yet many shoes could produce long situations of sym patterns posing a real threat to any not carefully conceived plan. Remember that the HE is always burdening us.

So less is more, by any means. Meaning that lower is the amount of our bets better will be our "precision" of being more right than wrong. At the cost of missing some profitable situations that anyway itlr will save us a lot of money.

Suppose the core (discarding some initial and final hands) of the shoe A/B patterns went as: (AS=asymmetrical pattern= +1 and S=symmetrical pattern= -3), Big Road considered.

AS-AS-AS-AS-AS-AS-S-AS-AS-S-AS-AS-S-S-AS-S-S-S-AS

At the end this is a strong Symmetrical shoe as AS=12 (=+12) and S=7 (=-21). Total -9.
Yet AS clusters (3) are equal to AS isolated events (1); S patterns came out as isolated two times and double clustered one time (S-S) and only one time clustered more than two times in a row (S-S-S).

Another shoe:

AS-AS-S-AS-AS-AS-S-AS-AS-AS-AS-AS-AS-AS

AS= 12 (+12), S= 2 (-6).

Here this shoe haven't balanced the previous one (-9), now (+6) but at this shoe there are no "unexpected" distributions capable to be harmful to our plan.
AS= always clustered and S= always isolated.

Another shoe:

AS-AS-AS-S-AS-AS-AS-AS-AS-AS-AS-AS-AS-S-AS-S-(-1)

AS=13, S=3 plus -1 that is a total of +3.

Moreveor even here AS clusters are 3 and AS isolated events (at the end of the shoe) are just 1.

Let's see what happens by respectively running our random walk getting a different pace than the Big road succession.

shoe #1: AS-AS-S-AS-AS-AS-AS-AS-AS-AS-AS-AS-AS-AS-S (AS=13, S=2) that is +13 and -6

shoe #2: AS-S-AS-AS-S-S-AS-AS-AS-AS-AS-S-AS (AS=9, S=4) that is +9 and -12

shoe #3: AS-AS-AS-AS-S-AS-S-AS-AS-AS-AS-AS-(-1) (AS=10, S=2 plus -1) that is +10 and -7

Even though after having collected thousands and thousands of real live shoes data we've managed to set up the best performing random walk catching the most likely average card distribution, we'll see that, generally speaking, the least patterns to look for are those forming symmetrical patterns for long. Providing to assign the "asymmetrical/symmetrical" feature up to a point.

So to simplify the issue, symmetrical spots are:

1) ABAB or BABA

2) AABBA or BBAAB

3) AAA(...)-BBB(...) or BBB(...)-AAA(...)

Then, asymmetrical spots are:

1) ABB or BAA

2) ABAA or BABB

3) AABA or BBAB

4) AAA(...)BA or BBB(...)AB

5) AAA(...)BBA or BBB(...)AAB

Obviously a deep selected betting plan must take into account how many times any first or second level of asymmetry came out in a row or not, a thing we'll take care very soon.

as.

You're fine LP and thanks for your interest.

This thread is made upon ideas, findings and a very deep interest about this complicated game where we didn't take anything as granted.
Therefore our strategies are mainly based upon statistical findings applied to volatile productions very often improperly labeled as "randomly distributed".

Whether is impossible to read randomness (providing each trial to be as perfectly independent from the previous one), we know that distributions sooner or later will take more likely distributions in relationship of the actual shuffling factor.

The problem of moderate/strong unrandomly shuffled shoes is that it's more difficult to spot an "average" key card distribution along with math advantaged hand ranges, in a sense high/low cards are more clumped than expected by running a true random model.

Of course if a given strategy works at perfect random or close to perfect random shoes, anything different than that (unrandom world prevails) might be attacked by a kind of opposite method. So maybe privileging more the SYMMETRICAL less likely feature.
But doing this we could find ourselves in the unwanted world of full uncertainty unless a same shoe is shuffled several times by the same biased procedure.

So players thinking that every shoe dealt in different circumstances will be distributed by the same random features actually commit a big mistake erasing a possible edge.

more later

as.

Believe me, you can't be wrong by properly exploting the asymmetry.

Say we want to adopt a multilayered progressive scheme.

We have three different fictional players betting for us.

#1 will constantly betting toward clustered asym spots up to a loss, then he'll wait for a new asym situation to restart the betting.

#2 will wait for a symmetrical spot to show up (sometimes it'll take quite a long time and that should give you the idea of what I'm talking about) then wagering toward one asym spot then stops its action letting #1 to restart the betting.
If he loses, #3 come in play.

#3 will wait for TWO asym spots to show up then wagering toward one asym spot then stops its action letting #1 to restart the betting.
If he loses, the action is stopped for every player (#1, #2 and #3) until a fresh asym spot shows up.
And so on.

After each player had lost three times in a row, we'll raise the bet for that specific player by a 10% or 20% amount knowing that the only harsh "enemy" spots making ALL three players to lose in a row are those forming one asym isolated spot followed by three (or more) symmetrical spots.

When such unlikely thing happens (all players losing) we have reasons to even double our standard bet then staying at this betting level until a full recover happened.

In fact asym-sym-sym-sym-...-asym situations coming out in a row are just an exception.

See you next week

as.

A personal test for bac randomness

Our group is made by frequentist probability lovers, in the sense that we like to collect data coming out from the same exact source and then building a probability theory.

Even the "same source" concept could be a volatile definition: think about shuffling machines operating at two alternate shoes lasting for a X time (number of shuffles per each shoe).
We've found important differences if the same shoe did undergo one or two shuffles or multiple shuffles.

Therefore if we want to exploit the "average" card distribution tool, we want to play at properly shuffled shoes.
Remember the comparison with black jack: low cards-neutral cards-high cards decks (in any LNH sequence) completely deny a card counter math advantage.
Of course such situation could easily happen for natural reasons, but we never know if it seem to appear for "too much" long.

At baccarat we've personally devised two valuable main tools to take care of in order to approximate whether a shoe is really randomly shuffled or not.

a) the math advantaged two-initial cards points losing "too many times" despite of their math propensity to win;

b) a higher than average ratio of hands resolved by 6 cards.

Of course those are the two main factors, there are other minor parameters to look for.

Realize that there's no way to win at baccarat itlr if our bets will get the inferior 2-card initial point as the number of drawouts will be underdog to get a long term edge.
Thus whenever the drawouts are coming out "too often", we theorized that that shoe was improperly shuffled. So unplayable.

Hands resolved by 6 cards is an additional factor to look for and is related to the high neutral card density (more than 30%) along with the 6s,7s,8s and 9s class (again more than 30%), then to  other less likely card combinations forming natural points as 5-4, 5-3, 4-4 or standing points as 5-A, 5-2, 4-3, 4-2 or 3-3.

Card distributions not forming those situations AT BOTH SIDES for long are relatively rare and when they're not (that is they are coming out too often) we could assume a kind of randomness bias.

Paradoxically it's better to move around a strong good or strong bad choice than navigating into a more undefined world where too many cards will dictate the actual result.
That's because an overalternating shifted world will be the least situation to happen.

as.