A finite-state paradox you can operate

Losing
Together

A fair-looking belt feeds two bad rules into one machine. Flip the tiles. The pockets are capital modulo three; their changing occupancy is the whole trick.

A alone −0.0100
B alone −0.0087
Rule belt · click a tile to flip it
periodic steady state+0.0000 / turn36 coins · mean +0.00
now applying A · turn 0
schedule AAB · exact mass 33.3 / 33.3 / 33.3%

Why the belt can win

Game B is brutal in pocket 0 and generous elsewhere. Game A loses gently, but it also redistributes the population. A useful schedule keeps rescuing coins from B’s bad pocket. The animation is a witness; the stamped drift is calculated from the periodic probability distribution.

Game AWin probability 0.495 in every pocket.
Game BWin probability 0.095 in pocket 0; 0.745 in pockets 1 and 2.