Unification of geometry and probability theory (Certificate of Appreciation)

Background:
We may ask a number of questions about the nature of the relationship between geometry and probability. Can both accurately model objective reality at all while the same is changing permanently?
Methods:
Various aspects of the relationship between geometry and probability have been re-investigated while relying on a hypothetico deductive method.
Results:
It turns out that an interplay between two basic theorems of geometry, Euclid’s theorem and Pythagorean theorem, is a possible theoretical foundation of probability theory too.
Conclusion:
Geometry as a framework of systematic logical thinking is unified with probability theory.