  We consider non-i.i.d. random holomorphic dynamical systems whose choice of
maps depends on Markovian rules. We show that generically, such a system is
mean stable or chaotic with full Julia set. If a system is mean stable, then
the Lyapunov exponent is uniformly negative for every initial value and almost
every random orbit. Moreover, we consider families of random holomorphic
dynamical systems and show that the set of mean stable systems has full measure
under certain conditions. The latter is a new result even for i.i.d. random
dynamical systems.
