Here's a draft of KGB's booth game, now updated to make it slightly clearer. There's still no marble, but the switches animate as if there were one.
Click on one of the blue buttons to drop a marble down the appropriate column. They should turn red, then back to blue when the marble is finished going through the game.
The top two switches just flip each time they drop.
The two paths in the middle then cross.
The middle switch flips to the left if hit from the left two paths, or to the right if hit from the rightmost path. The remaining path hits the middle, and falls whichever way the switch was set.
The next three switches are from Dr. Nim: if the marble comes from the left side, it will flip the leftmost switch to be vertical and fall down the left side. If it comes in from the right side, it will roll either until the end or until it hits a switch that stops it, when it will fall down.
Finally, the last switch (not animated, unfortunately) can hold a marble above it, but if a marble hits it on the bottom, it rotates counter-clockwise, letting the marble on top fall down. But if a second marble falls on the top before the first one is released, it rolls out the right side, which is the win condition (and here, there drop-buttons turn green).