  The present work shows that a properly chosen ordering of operators can
restore unitarity in anisotropic quantum cosmological models. Bianch V and
Bianchi IX models with a perfect fluid are worked out. It has been shown that a
transformation of coordinates takes the Hamiltonian to that of an inverse
square potential which has equal deficiency indices and a self-adjoint
extension is thus possible. It is also shown, although not detected clearly
before, that isotropic models are also apt to violate the conservation of
probability for a careless operator ordering.
