  This paper calls attention to the current state of the probability (P) domain
which presents weak points at the mathematical level and more significant flaws
at the application level. Popper notices how fundamental issues raised in
quantum mechanics (QM) directly derive from unresolved probabilistic questions.
Endless philosophical debates create more problems than solutions, so the
author of this research suggests going directly to the root of the issues and
searching for the probability theory which formalizes the multifold nature of
P. This paper offers a brief overview of the structural theory of probability,
recently published in a book, and applies it to QM in order to show its
completeness. The whole probability-based interpretation of QM goes beyond the
limits of a paper and these pages condense a few aspects of this theoretical
scheme. The double slit experiment is used to corroborate the theorems
presented here.
