  We use the idea of a Wigner surmise to compute approximate distributions of
the first eigenvalue in chiral Random Matrix Theory, for both real and complex
eigenvalues. Testing against known results for zero and maximal non-Hermiticity
in the microscopic large-N limit we find an excellent agreement, valid for a
small number of exact zero-eigenvalues. New compact expressions are derived for
real eigenvalues in the orthogonal and symplectic classes, and at intermediate
non-Hermiticity for the unitary and symplectic classes. Such individual Dirac
eigenvalue distributions are a useful tool in Lattice Gauge Theory and we
illustrate this by showing that our new results can describe data from
two-colour QCD simulations with chemical potential in the symplectic class.
