Lestat, you absolutely can calculate the chances of one stack prevailing over another stack. The possibility of 2,3,4, and even 5 units prevailing against a single unit has already been calculated. And its just that, it tells you the percentage of times you can kill a single unit if you will attack it with 2, 3, etc. I haven't seen a calculation of the odds of more complicated stack attacks, but I'm sure it can be done. (And of course, a multiple quick simulation can be run to give you an idea - for instance you have 7 chariots and see 2 spearman in city - and simulation tells you that 40 times out of 100 the city dies to your attack). This could be very useful information.

And Tony, I understand your argument, but that's why its still called a 'possibility' or percentage to include the outliers. So if I were to have the program calculate the situation you're talking about, it will account for the outlier possibility of an impi taking mace down to 3 str (probably less than 1% chance) all other possibilities of each attack and spit out a number that says less than 1% you win that stack attack (or by using a simulation program it shows 1 or 0 outcomes out of 100 with that attack winning). That one is probably pointless, but there are closer calculations where this could be useful. I'm not asking the program to tell me that I will win or lose the battle, but rather, what my chances of winning or losing are.

Also, Tony, each battle does not consist of 5 fights. They each range depending on the number of hitpoints it takes to kill a unit. (For instance, if attacker takes 31 HP for each battle it wins, and defender takes 13 HP for each battle it wins, it could take up to 11 battles to determine the winner - i.e. 7 defense wins and 4 attack wins.)