  Recent studies indicate that the configurational entropy is an useful tool to
investigate the stability and (or) the relative dominance of states for diverse
physical systems. Recent examples comprise the connection between the variation
of this quantity and the relative fraction of light mesons and glueballs
observed in hadronic processes. Here we develop a technique for defining a
configurational entropy for an AdS-Schwarzschild black hole. The achieved
result corroborates consistency with the Hawking-Page phase transition. Namely,
the dominance of the black hole configurational entropy will be shown to
increase with the temperature. In order to verify the consistency of the new
procedure developed here, we also consider the case of black holes in flat
space-time. For such a black hole, it is known that evaporation leads to
instability. The configurational entropy obtained for the flat space case is
thoroughly consistent with the physical expectation. In fact, we show that the
smaller the black holes, the more unstable they are. So, the configurational
entropy furnishes a reliable measure for stability of black holes.
