  We analyse the impact of the statistical uncertainties of the the
nucleon-nucleon interaction, based on the Granada-2013 np-pp database, on the
binding energies of the triton and the alpha particle using a bootstrap method,
by solving the Faddeev equations for $^3$H and the Yakubovsky equations for
$^4$He respectively. We check that in practice about 30 samples prove enough
for a reliable error estimate. An extrapolation of the well fulfilled Tjon-line
correlation predicts the experimental binding of the alpha particle within
uncertainties.
