VDV_forever
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It doesn't change: 30 out of 151, which means the Tower will fall. Although, I'll test it again. Maybe I missed something ;)
Everything is correct; it seems it just seemed that way to me.
You can also include information about the probability of inflicting specific damage in the reference. For example, what is the probability that a ranged Tower will inflict damage, say, 72, if the damage range is 68-102, etc.?
I would be happy if such information is available.
I'm currently thinking about the "white spots" in the physics of HoMM I. Are there any left? For now, only the not very accurate 1.77 (Diplomacy) comes to mind. Everything else seems to be in order.
I think there are still many of them.
for example, the reference lacks the following information:
what types of obstacles exist on the battlefield (stones, trees, volcanoes, logs, etc.), and also that during the siege of a Castle, all of them are completely ABSENT!
one of the most important questions remains a "white spot": the drop of morale, luck, special abilities, and Damage. I will definitely write an article about this, and if you don't mind, I will send it to you by email for review, since I consider you an expert in this difficult matter (especially since most of the information in this article will be yours).
But, the best thing would be if you wrote this article yourself:o
Maybe I'm not saying anything new, but...
Let's assume that the attack of the attacking unit and the defense of the defending unit are equal, i.e., there are no damage modifiers.
Let there be N warriors in the attacking unit, and the damage range of each warrior is [min_dmg..max_dmg], then:
a) if N = 1, then all damages from the range are equally likely. The probability of inflicting specific damage is 1/(max_dmg - min_dmg + 1).
Example 1. One dragon inflicts 25 damage with the same probability as 50. The probability is 1/(50 - 25 + 1) = 1/26, but if there are two or more...
b) if N > 1, then damages located in the center of the range are more likely.
Example 2. Four nomads ([2*4-5*4] = [8-20]) are most likely to inflict 14 damage (probability 17.19%), while the probability of inflicting 8 or 20 damage is only 0.39%! The probability that the damage will be at least 75% of the maximum is 41.41%.
For comparison. Three nomads inflict damage of at least 75% of the maximum with a probability of 31.25%.
If you build a graph of the dependence of the probability of a specific damage occurring (Y-axis) on this damage (X-axis), you will get a curve similar to a bell.
The exact values of probabilities can be obtained using programs.
The first line is the damage, the third is the probability of it occurring.
yes, the information is definitely interesting and requires study (not for the average mind:p). I will figure it out, thank you.
Sincerely, VDV_forever
Updates to the reference!
Added 20 hours 43 minutes ago
I am pleased to announce that a new section 25, Basic concepts and terms (game basics) has been added to the reference; I ask all interested parties to familiarize themselves with it:smile20:
Also, in section 23, History of Heroes of Might and Magic 1, the 2nd letter from Lord Ironfist has been added. The 3rd and 4th letters are coming soon. My wife, Phoenixhmm, is now in charge of the translation :p
Sincerely, VDV_forever