We examine random matrix models of QCD which are capable of supporting both chiral and diquark condensation. A numerical study of the spectral densities near zero virtuality shows that the introduction of color in the interactions does not alter the one-body results imposed by chiral symmetry. A model with three colors has the spectral density predicted for the chiral ensemble with a Dyson index $\ensuremath{\beta}=2;$ a pseudoreal model with two colors exhibits the spectral density of the chiral ensemble with $\ensuremath{\beta}=1.$