Abstract: An electronic backgammon game is disclosed. A memory stores m unique sets of dice rolls, each of the m sets of dice rolls includes n sequential rolls and defines a unique game to be played. A game select input is provided for enabling a player to select a desired one of the m sets of dice rolls and thereby to select a unique game to be played. A human actuatable dice roll switch controls the operation of the game. Each time the dice roll switch is reactivated, the next sequential roll in the selected set of dice rolls is displayed on a display board.