  We re-examine neutrino oscillations in exact parity models. Previously it was
shown in a specific model that large neutrino mixing angles result. We show
here that this is a general result of neutrino mixing in exact parity models
provided that the neutrino mass matrix is real. In this case, the effects of
neutrino mixing in exact parity models is such that the probability of a given
weak eigenstate remaining in that eigenstate averages to {\it less} than a half
when averaged over many oscillations. This result is interesting in view of the
accumulating evidence for a significant deficit in the number of solar
neutrinos. It may also be of relevance to the atmospheric neutrino anomaly.
