Confirm everything is wired correctly by placing the 4 AAA batteries in the holder. When the final battery is in place the pixel ring should immediately light up as it did when you did the USB test. DO NOT power the device from the USB and Batteries at the same time.

If the ring is lit and in the colorful "draw" mode, press the button. This should start the roulette mode. If it does not, remove the batteries and check the connections of the battery to the Arduino Nano.

With everything working you can now close up the game. The cover will friction fit into the game cylinder. If you are using the smaller case you may have to fight with your wiring to get it to all fit. When you want to reopen the game there are four slots around the top of the game cylinder where you can insert a small screwdriver to leverage off the cover.

With cheap batteries I was able to get over eight (8) hours of use. Better batteries will give you longer life. 

Thread a string through the hole in the tab behind the push button. Or come up with some other clever way to attach it to you, or something you are wearing. If you don't need the necklace attachment, you can always snip it off. 

If you want to change the odds of people winning, modify the code and re-flash the Arduino Nano. Instructions to do this are in the code.