We consider semi-classical Schrödinger operators with potentials supported
in a bounded strictly convex subset O of Rn with smooth boundary.
Letting h denote the semi-classical parameter, we consider classes
of small random perturbations and show that with probability very close
to 1, the number of resonances in rectangles [a, b] - i[0, ch2/3], is equal to
the number of eigenvalues in [a, b] of the Dirichlet realization of the unperturbed
operator in O up to a small remainder.