The person who submits the position chooses the setup. It might not be random. His opponent sees position then agrees to play. Again not exactly random.
There should be a function between lotto balls selected and numbers from 1 to 960 that gives each number between 1 and 960 equal opportunity. 2 players agree on this function then one uses FEN to challenge the other.
I know the 960 positions of the setup, but I'm not able to put the FEN (you can find it on the web) cod. I also play in a site where the system chooses the positions to play, but this is not possible on this site...