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Message: <blockquote data-quote="Arial Black" data-source="post: 6881824" data-attributes="member: 6799649">Okay, lets say that for 2d6 results of 5 or less are defined as 'low', 6 to 9 are defined as 'medium', and 10 to 12 are defined as 'high'.With the unmodified bell curve, 10 results (out of 36) are low, 20 are medium, and 6 are high.The proportion of medium to high rolls is 20 to 6, which is 3 and a third.Now, 2d6 re-roll 'low'. This leaves results of 2 to 5 as re-rolls and so cannot be played, and takes away 10 possibilities, leaving us 26 possible played scores.Of those 26, 20 are 'medium' and 6 are 'high', therefore the proportion of medium to high rolls remains 3 and a third.The discard/re-roll rule has not nor ever will change the proportions of the remaining possibilities.Remember, I never disagreed that the average score goes up. My point was that this doesn't mean that high scores are now proportionately more common than medium scores; it's just that the LOW possibilities have been taken away.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?</blockquote>

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