  Although the model probabilities (i.e., the probabilities of outcomes prescribed by the states λ) are different from the corresponding quantum-mechanical probabilities of outcomes (i.e., the probabilities prescribed by the quantum-mechanical states ψ), the quantum mechanical probabilities (which have been systematically confirmed) are recovered by averaging over the model probabilities. That is, it is supposed that the quantum-mechanical probabilities Pψ l r(xl &amp; yr), Pψ l(xl) and Pψ r(yr) are obtained by averaging over the model probabilities Pλ l r(xl &amp; yr), Pλ l (xl) and Pλ r(yr), respectively: For any ψ, l, r, xl and yr,