  We consider two cases of the so-called stick percolation model with sticks of
length $L.$ In the first case, the orientation is chosen independently and
uniformly, while in the second all sticks are oriented along the same
direction. We study their respective critical values $\lambda_c(L)$ of the
percolation phase transition, and in particular we investigate the asymptotic
behavior of $\lambda_c(L)$ as $L\to \infty$ for both of these cases. In the
first case we prove that $\lambda_c(L)\sim L^{-2}$ for any $d\geq 2,$ while in
the second we prove that $\lambda_c(L)\sim L^{-1}$ for any $d\geq 2.$

Probability