The reason why AI is not possible, because it does not think. AI runs off functions. It has no understanding of how a game works, it is just instructed what to do next based off a function.
Further A&A deals with probability/odds. No computer is ever truely random, not even a human can be truely random. Do not believe me, then take a look at how a computer expert would win Keno a bunch of times because he could figure out the next numbers that the computer was going to pull off. As long as someone is able to figure that out, it is easy to use that information to your advantage.
I remember the first computer beating the human in chess. To my knowledge the guy came back and killed the computer. All he had to do was make moves that the computer could not handle. The computer functioned in terms by giving values to units. Thus the guy used that info to his advantage.
You are asking for a computer program that some how deals with a pure dice game. There is no way of doing such. Hate to bust the bubble but A&A is all dice. Just roll and there you go.