Yes, that's exactly what I meant.
Especially with tanks that use a long reload like the IS2, this would be very interesting. Units fall out of meta because they are simply unreliably when you need to count on them. Especially if a heavy does not perform by pure chance in the first engagements a lot of the shock value is gone. Making them more reliable was also one reason for the rework. Looking at the AoE changes this has been achieved 100%, but being able to deal not enough damage within the first 10-15 seconds of the engagement can still be a breaking point.
This is a very good point and something that isn't really well portrayed by the averages in the graphs, as you've mentioned. Actually, I'd even take it a step further and say we'd need not only the probability distribution for the 1st shot, but for the whole duration of the firefight to make an educated guess about how reliable the damage output/kill rate is.
I've actually had a bit of time to spare on collecting some more data yesterday, and the results are quite interesting. However, since this expands the problem into a 3D data set it's a bit hard to visualize properly, but for the three heavies in question it looks something like this:
In these graphs, the x- and y-axes represent the number of shots fired and damage dealt (divided into 40 damage intervals) or kills scored, respectively, while the height of the surface/columns shows the probability.
Taking the Tiger for example, it's quite obvious that there is a rather huge variability in damage dealt for the 1st shot (anywhere between 40 and 300, with 120 -200 being the most likely), but dealing no damage at all has only a ~15.4% chance. This quickly shifts towards higher average damage and a narrower probability distribution the more shots are fired, and it is actually quite unlikely (less than 10% chance) to deal less than 200 damage after the 2nd shot.
With respect to model kills basically the same applies, although here the chance not to drop one or more models with the first hit is a staggering 76%. This goes down naturally as time progresses and after the 2nd shot (or ~ 11 s) there’s only a 26% probability to not having killed a single entity.
The differences between the heavies are actually relatively small. The IS-2 and Pershing are a bit less likely to completely miss (as in deal no damage whatsoever) with the 1st shot and the most probable results shift a bit to higher average damage numbers. Also interesting, the Pershing has a small chance (5%) to kill 3 models with its alpha strike, whereas the Tiger and IS-2 can’t kill more than 2.
As said before it’s a bit hard to read these graphs as you can’t rotate them to get a different perspective, so for those interested I’ve uploaded the source spreadsheet with all graphs and additional data for the preWBP heavies plus the Pz.IV, T-34/76 and HE-Sherman
here for download.