A program for determining luck/morality in Heroes 3!

In reality, you can limit the morale drops, for example, 2 morale drops for a +2 creature, three morale drops for a +3 creature! for each stack, for the entire battle!!!!

This is probably too much. Imagine you have, say, 2 offensive stacks and 3 meat shields from the same castle in your army. You are suggesting allowing one morale drop on each offensive stack in one round, with a morale of 1. It would be difficult to generate this in an average case, except perhaps with a morale of 2. But, of course, there have been different cases. I remember in the 8th stage of the War of the Ancients campaign, I needed to take a dwarven stronghold with minimal losses. I timed the first attack to minimize losses, but after that, the dwarves started to drop morale in 3 out of 4 cases, so I had to play without relying on it. It was after this tournament that I understood a lot about the behavior of "randomness" in morale and luck. Although the situation there was the opposite; mainly, demoralization interfered, and luck was not needed more than once per battle.
I think the extra attention is caused by the fact that the last tournament required a lot of unit generation. Throughout my tournament experience (excluding the fourth game), I have never tried to time more than one morale/luck drop per battle and have not relied on it (except for one battle in 40+ rounds, but it somehow happened more than once). And this did not prevent me from taking quite high places.
In short, it's time to start a collective discussion about limitations.
For example, like this: one morale drop on an offensive stack can always be timed, and the maximum total number of drops, according to its probability, should not exceed twice (three times? your suggestions...) the mathematical probability that logically follows from the values of morale, luck, and the Bernoulli distribution.