Probability as Contextual Projection A Unified View of Classical and Quantum Probability

We propose a simple reinterpretation of probability as a contextual notion arising from 
projections of a total system onto chosen decompositions. In this view, probability is not an 
intrinsic property of events but is defined only relative to a context (a partition of the whole). 
This perspective provides a unified conceptual framework in which classical probability 
appears as the case of compatible contexts, while quantum probability arises when contexts 
are incompatible and probabilities are derived from amplitude superposition. The aim is not 
to replace existing theories but to clarify their common structural basis.