I’m so confused by the added complexity here. If there’s a gold ball behind every door, the choice of door doesn’t matter.

We were asked to pull a ball from behind one of three doors, not figure out what two dudes know about balls in a grid.

I choose the following option:

Kick the madman in the nuts, open all the doors and take all of the balls, switch the trolly track myself, save the people, sell the balls, then go back and tie the madman to the tracks and ask him to pick the door with the black and blue balls. If he doesn’t choose his own fly as the door, TROLLEY.