2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/91109It is shown how, given a "probability data table" for a quantum or classical system, the representation of states and measurement outcomes as vectors in a real vector space follows in a natural way. Some properties of the resulting sets of these vectors are discussed, as well as some connexions with the quantum-mechanical formalism.LaTeX2e/RevTeX4, 8 pagesQuantum PhysicsWhy can states and measurement outcomes be represented as vectors?text