Hugo Duminil-Copin's works may be illustrated by this kind of activity : Tiling a square kitchen with regular hexagonal tiles of two colors (her black and white, the white surrended by black draws to see better the shapes but black not surrended by white so as to let the hanjie logically solvable...). The color of each tile is chosen by tossin a coin (My digital coin seems to prefer the white : I got 30 white tiles for 20 black tiles for my 50 entire or partial tiles that are not actually regular hexagons because of draxs made with little squares...)
First question quite easy to solve is : "Which is the probability of having a black way from left wall to right wall ?" as it's the case here.
It's quite easy to guess that the only thing to make impossible such a way is a white way from bottom wall to upper wall. Black and white having the same probability, that two contradictive ways have the same probability : 50 %.
We can notice, on my example, the white is overrepresented (60 %) but it didn't make a white way but a black one...