The first few obstacles were easy. He simply had to solve the major problems of chemistry. Being a part-time physicist this posed no problem and he passed the obstacles within a matter of minutes, but he soon finds himself in a room where he risks his life with every step. One poorly placed toe and the floor beneath him will fall away and send him plummeting to his death. It's just like in his film, The Last Crusade, but this time it's even more treacherous. This time it's a Stat. Mech. problem.

Indy quickly recalls his study of percolation experiments and hopes that the makers of the floor chose to include solid floor segments with a probability greater than the critical probability, at which point a spanning cluster is likely to form. He thinks to himself, if the floor is a square, 100 tiles wide and 100 tiles long, what is the critical probability? I'm in fairly decent shape and despite the theory that white men can't jump, I think I might be able to make it across one or more squares. What affect would jumping or leaping across squares have on the critical probability?

He pauses for a moment, and then remembers a few facts from ancient history. The laborers who constructed these places were, quite frankly, stupid. Despite countless attempts to organize their work, the pattern of stable and unstable floor tiles was completely random.

He vaguely recalls cruising the web a few years before when he stumbled upon a truly brilliant and enlightening investigation of a percolation problem just like that which he is facing.... Everything_you_ever_wanted_to_know_about_percolation_but_were_afraid_to_ask.html