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TruePurple said:
If the game kept track of the random number and gave you a average of that number.. Like lets say first turn the game says there are 20 troops. Next turn it gives and average of 70 troops. But because of the 20 troop figure the turn before it gives you an average guess of 35. Next turn it randomizes 50 troops figure. But because of the 20 & 70 numbers of the turns before it gives you a number thats an average of all 3 numbers.(additionally under the random number or in replace of it)
Such assumes the scout has an IQ number high enough to rub together and start a fire (2  )that he could work out averages. But makes sense in alot of ways both for game play and game reasoning (the longer you observe troops, the better you know their numbers) Yes players can keep track of and average these numbers but who wants to bother with that kind of work when playing?
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This only works if the defenders don't change. Because the same algorithms are used for both independent provinces and enemy nations' provinces, approximation would mean that a province that had been empty for 4 turns and then had 100 troops passing by would show up as having 20 units. Furthermore, even independent provinces can have a varying amount of defenders in them. Events can add knights, vampires, trolls and various other things to independent provinces. These can double or triple the number of original defenders, and I'd rather be notified instantly. There is also at least one creature that moves from independent province to independent province without being part of any nation (Eater of the Dead once it becomes unfettered). It would be easy to mod it to be some kind of inquisitorial general and then add it to a map and give it an army, and in theory (I'm not sure if this would work) it would then move around the map with its army, going through independent provinces without harming them and rather randomly attacking human or AI players.