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One fact that I want to make clear is the misconception of Bac player's abilities to apply mathematical theory through statistical results from the game of baccarat.  It simply does not exist in any type of measurable quantity that will factually assist the player in winning more than he losses.   And from what I have discovered through years of playing the game through observation and experience of countless players, following such theory will hurt them in greater amounts than what it will help them with an advantage. 

Yes, that is a bold statement.  But it is reality.  Here is my reasoning.  Probability starts with, probabilities being given.  Those probabilities are the presentment and outcome of the cards yet to be exposed.  The event will be each hand we are wagering on for a certain outcome.  If you knew what the value of the cards to be included within that event as well as the order of those cards to be drawn, then you could measure that singular event with algebra mathematics based upon the total hands drawn and those yet to be drawn.  However, you do not know the components that will make up that event.  So, computing a mathematical equation will be impossible to formulate for a certain hand or number of hands within a shoe of the game.

As far as probability as to the possibility of what will happen, that is extremely tough as well.  Why?  Because the actual determination of probability must be based on empirical type of models, mathematical statistics or outright assumptions.  Empirical type of models will be so broad and shallow it would be a guess without any real stance whatsoever.  It would be the same as say, I think the horse will run straight north instead of running any other way because he feels like it.  The defining of mathematical statistics I already addressed in the previous paragraph and cannot and will never apply from the published results of huge amounts of shoe results from millions or billions of tested hands, into a small enough quantity in order to be able to accurately apply to a small enough section in real play to capitalize on.  As far as outright assumptions, that is no better than attempting to guess exactly when and where the next fore will take place in the city of New York or Detroit or Los Angeles.  It cannot be done with any accuracy whatsoever.  So, the probability theory has nothing to say about the matter as well.

However, within limited time spans or parts of each shoe, probabilities can be limited and subjected to lesser constraints.  Why?  Because as I have been explaining in lots of my writings and discussions (if you have followed) events happen and events do not happen, producing a pathway for upcoming events of a limited nature to follow.  Meaning, changes in the type of outcomes either applying continual or discontinued events.  In basic probability any event must be non-negative and no greater than one.  And to me, that means at least one countably event or many countably events disjoint or join in short span, the sum of those individual probabilities we are all looking for to wager on with advantage. 

And what compounds our confusion, disbelief and extreme frustration when applying what I just talked about is, that there are large numbers of possible outcomes with only 80 hands of 416 cards mixed in an unknown order producing possible results that are in excess of trillions to one, for possible outcomes. 

So, in all essence, I will state that there are infinite possible events within one shoe of baccarat.  Any assignment of non-negative numbers that sum up to 1, defines a legitimate probability, yes; However, a legitimate probability space can determine a physically accurate model, but the number of actual possible events are so large within only 80- hands of outcomes, you cannot lock in an advantage that is more than an assumption at any time. 

That is the reasoning behind my Sections & Turning Points, whereas I take a smaller window of outcomes and limit the focus onto the events that are of concern.  Not those of past or future, which only confuses and blurs the only true advantage a player has to the game of baccarat.  And that advantage is classifying events as non-negative and others as possible.  Those must be done in relationship to the other factors that define normal, rarity, obscure, or in general terms?infrequently or frequently to happen or not happen.  And those are all subject to a player?s experience, thoughts, visual interpretations, emotional state and goals of which he is immediately seeking by wagering. 

I would like to close this article by reinforcing it with a simple explanation as to why statistics and mathematical results cannot be accurately applied to the game of baccarat.  Because you will come up with different results for the testing of every shoe whether those resulting represent 1,000, 1,000,000 or 100,000,000 shoes because of the shuffle, cut card placement and movement of a portion of the deck as well as a different burn card, each time.  That is why I look at the Sections & Turning Points and the events that are happening rather than those that have happened or are expected to happen. 

So is a shoe of baccarat countably infinite or is it uncountable.  I say it is nearly uncountable but tends to be more on the side of countably infinite the longer and greater amount of time you play it.  Why?   Because of the false reasoning, comparisons and rationale most all players inflict themselves with when wagering with their thought process.