Dispensers and glass with redstone hooking them all together with 9 different items in each of the dispensers. The circuit is self-disconnecting and you must hit a button to open a hatch to drop items into hoppers which put them back in the dispensers and reconnect the circuit.
It'll be nice to go to a gambling hall again. Haven't seen one since Aegis. Anyway, basically all the possible games you can do within LotC have been said, but you can always try to make a game of your own!