  We examine the destruction of superconducting pairing in metallic grains as
their size is decreased for both even and odd numbers of electrons. This occurs
when the average level spacing d is of the same order as the BCS order
parameter. The energy levels of these grains are randomly distributed according
to random matrix theory, and we must work statistically. We find that the
average value of the critical level spacing is larger than for the model of
equally spaced levels for both parities, and derive numerically the
probabilities $P_{o,e}(d)$ that a grain of mean level spacing d shows pairing.
