FormerlyHemlock
Hero
The original assertion which put this particular bee in my bonnet as that, with the discard rule, that this makes more high scores. I wanted to point out that, although not untrue itself, this statement leads to the erroneous impression that the discard/re-roll rule skews the results so that high scores become proportionately more common than medium scores; that the lost possibilities of the low scores were re-distributed more to high scores than medium scores.
In fact, when low scores are lost as possibilities, both medium AND high scores become more common in exactly the same proportion!
Since low scores are rarely played anyway, and since high scores seem to be feared by DMs for some reason, I felt the need to point out that the proportion of high to medium scores remains unchanged by the discard rule, so that DMs need not fear it.
Have I explained myself better now?
Yes.