2metraninja
Defender of Nabaxica
I though it is the opposite - it will give you higher than the real chances when drills are involved. But I might be wrong. I like and use drill promotions very much regardless1. Drill promotions. I assume that these are simply not factored in to the winning percentage... e.g. that a badly wounded Drill IV infantry will stand a much better chance of defeating that last defending full-health catapult than the odds would suggest.
This was something I considered a bug till very recently - that you can avoid a river penalty if attacking across a river if it does not show in the chances. Then someone pointed me this and I checked the combat log, where it clearly shows that the amphibious penalty is added. And I was like: "WTF, till now I attacked each time and had good ratio of wins" It is Fortuna Favet Fortibus or the fore-mentioned "miraculous 5 consecutive wins @ 5%"2. Two-movement terrain modifications. Let's say that you're HA rushing a city from two tiles away. You're presented with 75% odds, but once you move next to the city you have to cross a river. The game won't provide you with the modified odds, although it does factor in the defense bonus should you choose to attack.
I think the biggest single problem with battle percentage odds are that they are shown at all. I dont remember having those in Civ1, 2 or 3. Back then you needed to know what unit can or cant win given fight and use this knowledge. Giving hard calculated percentages spoils the magic a bit for me