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A 1/L-expansion for percolation problems is proposed, where L is the latticefinite length. The square lattice with 27 different sizes L = 18, 22 ... 1594is considered. Certain spanning probabilities were determined by Monte Carlosimulations, as continuous functions of the site occupation probability p. Weestimate the critical threshold pc by applying the quoted expansion to thesedata. Also, the universal spanning probability at pc for an annulus with aspectratio r=1/2 is estimated as C = 0.876657(45).

Corrections to finite size scaling in percolation