slev wrote:For those better at probability than I...
That would be me. And Anderas, actually, but I got here first.
For those of you who don't like math, feel free to ignore this post.
slev wrote:Dice with only one symbol per face are easy to compare. But how do we compare them with multi-symbol faces?
For example, is a black die (four skulls) better or worse in the attack than a purple (two skulls and a double-skull)?
Obviously the black is more likely to do *some* damage, but the purple capable of more damage...
The difference between the black and the purple dice lies in their variance. Both dice have the same expected outcome of 0.667 skulls per die, but the purples will generate more 'extreme' results more often than the blacks. Here's a comparison of 3 purples vs 3 blacks:
As you can see, the black dice are more reliable, but the purple dice have more potential, although it is also easier to fumble with them and get 0 skulls.
Now for a more challenging thought process: What happens when you attack a Chaos Warrior with them???:
The two dice are very close in expected damage. The Purples have a slightly higher damage expectation, but this is mitigated by the fact that many of their high-skull rolls will overkill the targeted monster, leading to some wasteage. On the other hand, they also have a better chance of one-shotting monsters, which is of course very good. (The faster you kill the monsters, the less they get to attack you.) I may have to update the MSC Excel file to better visualize the impact of this sort of thing.