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Quantum theory is about the ensembles and about the individual outcomes of measuring systems. But I think that in quantum mechanics there are less real events than in clsxsical mechanics but there are more real events than in the classical statistical mechanics. The reason is the fact that quantum mechanics is reversible probabilistic theory while classical statistical mechnics is the irreversible probabilistic mechanics. This is the main difference !!! Thus quantum mechanics has features that cannot be found in the classical statistical mechanics. Details of my opinions can be found in https://ijqf.org/wp-content/uploads/2015/06/201503.pdf.
Your Jiri Soucek