As I'm sure you know, understanding this distribution is critical to good backgammon play. For example, all else being equal it's better to leave your exposed b

As I'm sure you know, understanding this distribution is critical to good backgammon play. For example, all else being equal it's better to leave your exposed blots closer to a threatening opponent checker than further away (within 6 pips of course). Also, you need to account for rolling doubles which results in the counter-intuitive average pip value of a roll being 49/6 (~8.16). An interesting bit of trivia: In roman times it seems they played with 3 dice instead of 2: http://www.bkgm.com/variants/Tabula.html http://www.bkgm.com/variants/Tabula.html