So, here I was, innocently testing an adventure for lethality, when I found myself feeling that the d20 I was using was rolling with an odd distribution. I'd just found it in a corner, and hadn't really used it before, so I got to wondering if my feeling was justified. So, I cranked up Excel & analyzed 100 rolls in a chi-square. Not enough to say anything definitively if there were a small bias, of course, but the results were reassuring that I had a fair die ... Then, since I was still puzzled by my intuitive feeling, I grabbed my 'old faithful' black d20 that I generally use in games, and ran that through the same test.
And some more-with only a hundred rolls, even a weird result could be chance, better do a few hundred more ...
Definitive result: I've been using a biased die in my games for years.
So that's why the new d20 felt 'off'-it was actually fair, so I wasn't seeing the results I was used to.
It wasn't so far off that it would be obvious (unlike the old d20 with a chipped corner I used to have that would roll 18 or 20 about a third of the time); it has a slight bias in favor of 3, 15, and 18, and a strong bias against 16, for some reason. The overall average roll is still right around 10.5, so I haven't been getting an advantage or disadvantage, but still ... Anyone else have any experiences like this? Have you ever found a 'bad' die & kept using it for some reason? (C'mon, tell the truth!) Share your stories!!

Definitive result: I've been using a biased die in my games for years.

