  Bell's inequalities can be understood in three different ways depending on
whether the numbers featuring in the inequalities are interpreted as classical
probabilities, classical conditional probabilities, or quantum probabilities.
In the paper I will argue that the violation of Bell's inequalities has
different meanings in the three cases. In the first case it rules out the
interpretation of certain numbers as probabilities of events. In the second
case it rules out a common causal explanation of conditional correlations of
certain events (measurement outcomes) conditioned on other events (measurement
settings). Finally, in the third case the violation of Bell's inequalities
neither rules out the interpretation of these numbers as probabilities of
events nor a common causal explanation of the correlations between these
events---provided both the events and the common causes are interpreted
non-classically.
