  The scaling of the tails of the probability of a system to percolate only in
the horizontal direction $\pi_{hs}$ was investigated numerically for correlated
site-bond percolation model for $q=1,2,3,4$.We have to demonstrate that the
tails of the crossing probability far from the critical point have shape
$\pi_{hs}(p) \simeq D \exp(c L[p-p_{c}]^{\nu})$ where $\nu$ is the correlation
length index, $p=1-\exp(-\beta)$ is the probability of a bond to be closed. At
criticality we observe crossover to another scaling $\pi_{hs}(p) \simeq A \exp
(-b {L [p-p_{c}]^{\nu}}^{z})$. Here $z$ is a scaling index describing the
central part of the crossing probability.
