Originally posted by vulture
fx: vulture gets out the stack combat calculator.
12 veteran archers vs 12 fortified veteran pikes in a city (5.55 defence).
Probability of taking the city and losing just 1 archer: 0.5% - that's 1 in 200, not 1 in 50, or even 1 in 5.
Probability of capturing city: 61.6%
Probability of all 3 pikes surviving 8.5%
The taking the city with 1 dead archer certainly was an aberration - a 1 in 200 shot, so you were quite lucky/unlucky to have it turn up like that. That's life.
fx: vulture gets out the stack combat calculator.
12 veteran archers vs 12 fortified veteran pikes in a city (5.55 defence).
Probability of taking the city and losing just 1 archer: 0.5% - that's 1 in 200, not 1 in 50, or even 1 in 5.
Probability of capturing city: 61.6%
Probability of all 3 pikes surviving 8.5%
The taking the city with 1 dead archer certainly was an aberration - a 1 in 200 shot, so you were quite lucky/unlucky to have it turn up like that. That's life.
Remember that your defensive units aren't always going to be fortified - for example when you've upgraded them the turn before they are about to be attacked.
Average losses: 8.1 archers, 2.3 pikes, 10.9% chance of defender getting a great leader (assuming non-militaristic).
With 4 pikes defending, you'd expect to capture the city 23.5% of the time (with 9.6 average archers losses, 2.0 average pike losses).
That's all broadly consistent with your numbers.
With 4 roll combat the chance of taking the city vs 3 pikes is somewhere less than 0.001% BTW - 99.76% chance that all 3 pikes survive.
With 4 pikes defending, you'd expect to capture the city 23.5% of the time (with 9.6 average archers losses, 2.0 average pike losses).
That's all broadly consistent with your numbers.
With 4 roll combat the chance of taking the city vs 3 pikes is somewhere less than 0.001% BTW - 99.76% chance that all 3 pikes survive.
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