A program for determining luck/morality in Heroes 3!

For example, like this: it's always possible to time a single occurrence on a damage stack, and the subsequent maximum sum of occurrences, based on its probability, should not exceed a doubled (or tripled?) mathematical probability, which logically follows from the values of morale, luck, and the Bernoulli distribution.

The following difficulties may arise:
1. There will be difficulties with the concept of a "damage stack," as various interpretations of this concept will emerge....
2. Something needs to be done about morale for units with a single morale value; otherwise, all units with a single morale value will block all enemy ranged units in the first round...
3. What if, after a permissible occurrence of N morale values, N+1 morale values occur completely randomly?
4. For some, words like "terver," "mathematical expectation," and especially "Bernoulli distribution" or "Gaussian distribution" are considered offensive :D