We consider the problem of percolation in a system having sites distributed at random, but in which only a fractionh of the physical overlaps form viable links. We convert this to a site problem on the covering lattice, and then show that in two dimensionsh - 1/S 4 forh - 1, andh - 4)S2 forh 1, whereS is proportional to the critical percolation radius in the original array. This result reproduces the T–1/3 behavior for log(conductivity) expected of variable-range hopping and found by numerical methods. It also accounts for the region of transition tor-percolation asT . We make a prediction that in three dimensions,h = 1/8S3 + const/S6, but numerical confirmation is lacking for this case. While the argument is not exact, we have demonstrated a novel approach to random systems.