Microcontroller PCB for Dartboard LEDs

I'm wanting to convert a traditional dart board into one whereby the 20 numbers (1 to 20 around the perimeter of the board) are LEDs that can move at random every 4 seconds. Based upon which number is hit I'd like to look into the possibility of the score being automatically recorded and accumulated after X number of darts have been thrown. The preference is to use real quality darts and not the electronic dart board types. I know the score accumulation is a far fetched request but will be happy with a board that has the numbers randomly move every 4 seconds, making it a test of the dart throwers eye, aim and reaction time.