Unless the script simulated dice orientation, I don't think it would help any there. Having read the rules of the game I think there's still a pretty good close

Unless the script simulated dice orientation, I don't think it would help any there. Having read the rules of the game I think there's still a pretty good closed-form solution, minus the dice orientation stuff, that wouldn't take a lot of work to find. Or better yet you could write a script to compute exact probabilities!