  The distribution of spacings between the lasing frequencies for an ensemble
of random lasers in the two-mode regime was computed. The random lasers are
implemented as open chaotic cavities filled with an active medium. The spectral
properties of the passive cavities are modeled with non-Hermitian random
matrices. The spacing distribution is found to depend on the relation between
the gain-profile width and the mean spacing of the passive-cavity modes. The
distribution displays mode repulsion and, under certain conditions, agrees with
the Wigner surmise. The role of mode competition is discussed.
