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Statistical Versus Real Numbers

Started by alrelax, January 06, 2024, 05:22:40 PM

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alrelax

What so many people do not, or will never recognize is the minimum and maximum numbers versus real numbers.

For the math freaks there is something called 'Set Theory'.  But, that can only apply if there are no 'real/reality numbers'. 

In mathematical analysis, the maximum and minimums of a function are, respectively, the largest and smallest value taken by the function. Known generically as extremum, they may be defined either within a given range (the local or relative extrema) or on the entire domain (the global or absolute extrema) of a function. >>>But not how each hand, or the order of each hand will be presented from any shoe.<<<

As defined in set theory, the maximum and minimum of a set are the greatest and least elements in the set, respectively. Unbounded infinite sets, such as the set of real numbers, have no minimum or maximum.

In statistics, the corresponding concept is the sample maximum and minimum.  Please Note:  Statistics are a theoretical sampling of 80 hands of Baccarat, played out approximately 1,000,000 times. 80,000,000 hands and then each minimum and maximum result figured out for whatever valued defined, etc. 

So in reality and more importantly, in relationship to wagering at the game, you can have maximum and minimum in statistical analysis.  However............But............in the game of baccarat and how each and every shoe will present its presentments, 80 + - times a shoe, will be 'real numbers'. 

And 'Real Numbers' have zero corresponding adherence to statistical results the highest of the highest amount of times.  And more likely, IMO the relationships, if any, can safely be classified as coincidental rather than statistical presentment.
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