A big part of the early Atari 2600 library consisted of digital adaptations of tabletop games — including several that could be played solo against a computer opponent.
One such example was Backgammon, a fairly comprehensive package that allowed one or two players to play Backgammon or Acey Deucey, with or without a “doubling cube” to facilitate gambling.
I’m not good at Backgammon, but aside from this adaptation’s bizarre paddle-based control system, this seems like as good a way as any to learn!
Atari A to Z 