For two quantum systems with spaces L (X 1) and L (X 2) and given states |Ψ 1 ⟩ and |Ψ 2 ⟩ respectively, their combined state |Ψ 1 ⟩ ⊗ |Ψ 2 ⟩ can be expressed as ψ 1 (x 1) ψ 2 (x 2) a function on X 1 × X 2, that gives the product of respective probability measures. In other words, amplitudes of a non- entangled composite state are products of original amplitudes, and respective observables on the systems 1 and 2 behave on these states as independent random variables. This strengthens the probabilistic interpretation explicated above .