OK, then add “or by choice” to my statement.
Either way, the battle results ARE 100% pre-determined.
For example, in a battle of 49 INF, and 49 ART against 99 INF:
In No-Luck the defedner will always have 8 INF left.
In Low-Luck, the range is from winning the fight with 7 ART surviving to losing with 16 INF left
In ADS the attacker has a 43% chance of victory and a chance at up to 37 ART alive. The defender has a 57% chance of winning, with up to 41 INF left, and the percentage chance for 37 INF left is exactly the same as to have 8 INF left: 2 %
Another Example: 6 ART attacking 6 INF.
In No Luck it is an Unresolvable Battle. Both sides get into a perpetual miss scenario with 1 ART attacker, 1 INF defender left. Attacker MUST retreat 1 ART leaving the Defender victorious.
In Low Luck the odds are 46% attacker, 47% defender, 7% mutual destruction, with an equal percentage chance, 22% of 1 ART attacker or 1 INF Defender
In ADS, it is a 48% attacker, 51% defender, 2% mutual destruction… a coin toss.
Hell of a big difference between 50/50 and a guaranteed win.