  We demonstrate that the EPR-Bohm probabilities can be easily obtained in the
classical (but contextual) probabilistic framework by using the formula of
interference of probabilities. From this point of view the EPR-Bell experiment
is just an experiment on interference of probabilities. We analyse the time
structure of contextuality in the EPR-Bohm experiment. The conclusion is that
quantum mechanics does not contradict to a local realistic model in which
probabilities are calculated as averages over conditionings/measurements for
pairs of instances of time $t_1< t_2.$ If we restrict our consideration only to
simultaneous measurements at the fixed instance of time $t$ we would get
contradiction with Bell's theorem. One of implications of this fact might be
the impossibility to define instances of {\it time with absolute precision} on
the level of the contextual microscopic realistic model.
