  The Bell inequality constrains the outcomes of measurements on pairs of
distant entangled particles. The Bell contradiction states that the Bell
inequality is inconsistent with the calculated outcomes of these quantum
experiments. This contradiction led many to question the underlying
assumptions, viz. so-called realism and locality.
  This paper proposes an appropriate probability model for the Bell experiment.
This model has only two simultaneously observable detector settings per
measurement, and therefore does not assume realism. It is in full agreement
with both quantum mechanics and experiments. In this model the expectation for
a particular pair of observations is partial to the selected detector settings.
This leads to a slightly different variant of the Bell inequality, one that is
consistent with both quantum mechanics and measurements. In this model there is
no Bell contradiction.
  Furthermore, the proposed probability model is statistically local, is not
factorizable, and is not Bell-separable. The latter implies that either hidden
variables must be ruled out, or that locality must be violated. Thus, our
conclusion agrees with Bell's conclusion.
