Yup, the way to do it is via a small variant of http://en.wikipedia.org/wiki/Expectiminimax_tree http://en.wikipedia.org/wiki/Expectiminimax_tree. Backgammon ha

Yup, the way to do it is via a small variant of http://en.wikipedia.org/wiki/Expectiminimax_tree http://en.wikipedia.org/wiki/Expectiminimax_tree. Backgammon has "min", "max" and "expectation" nodes. The "correct" solver in this case only has "max" nodes (for the human moves) and "expectation" nodes (for the computer 'moves').