  We construct Nicolai maps for $N=2$ supersymmetric extensions of
minisuperspace models. It is shown that Nicolai maps exist for only a very
restricted set of states. In the models considered these are the two states
corresponding to the empty and the filled fermion sectors. The form of the
Nicolai maps in these sectors is given explicitly, and it is shown that they
have a natural stochastic interpretation. This result also suggests a
probabilistic interpretation of the wave function.
