  We study families $\{f_\mu\}_{\mu \in \mathbb{D}}$ of automorphisms of
$\mathbb{C}^2$ unfolding in a generic way a homoclinic tangency associated to a
fixed point $p$ belonging to a horseshoe. We show that under the hypothesis of
stable intersection between the linearized versions of the Cantor sets
representing the local intersections of the unstable and stable manifolds of
$p$ with the horseshoe there is prevalence of parameters corresponding to
persistent homoclinic tangencies. Prevalence here means positive measure in the
parameter $\mu$ asymptotically close to zero.
