  We estimate from below the expected Betti numbers of real hypersurfaces taken
at random in a smooth real projective n-dimensional manifold. These random
hypersurfaces are chosen in the linear system of a large d-th power of a real
ample line bundle equipped with a Hermitian metric of positive curvature. As
for the upper bounds that we recently established, these lower bounds read as a
product of a constant which only depends on the dimension n of the manifold
with the K\"ahlerian volume of its real locus RX and d^{n/2}. Actually, any
closed affine real algebraic hypersurface appears with positive probability as
part of such random real hypersurfaces in any ball of RX of radius O(d^{-1/2}).
