Is This A New Way Of Determining Mathematical Chance?

Question

I believe it's possible that prior trials do affect current outcomes. The reason this isn't widely recognized in math is that the 3 accepted axioms create only a narrow definition for how probability is structured. They're only useful when thinking in terms of a single trial, theoretical probability. Therefore, when one uses these axioms, as a foundation on which to build equations and formulas, the limits of their definition are transferred into those equations.

In other words, the simple reason why it appears as if past events have no affect on current outcomes is because these axioms define the characteristics of probability for one event. The math that is created from the axioms is limited to the measurement of one event, hence, when using them, no one is able to see where the past outcomes effect the current outcome and therefore determine that it is not possible.

I've written documents that go into great detail on the matter and would like share ideas:

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Answer 1

You are mistaken in that it "isn't widely recognized in math". Also, you need to distinguish three things with regard to any area of formal sturdy, and in this case, Probability.

1. The intuitive background

2. The formal theory

3. The applications.

(Try William Feller's classic on probability)

The notion of previous trials affecting the outcome is easily modeled in the framework of the probability theory. For example, if a coin is tossed n times, the sample space is {H, T}^n. That allows you to model multiple trials.