> Operations like multiplications change the shape of these distributions, so then uniform random isn't applicable any more.

Doesn't addition as well? Like if you roll d6+d6, the output range is 2-12, but it's not nearly the same as if you rolled d11+1.

Yes that's true! I used multiplication because that was my original example.

Okay, thanks :-). I was just trying to make sure I was understanding what I was reading.