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<blockquote data-quote="CleverNickName" data-source="post: 9826657" data-attributes="member: 50987"><p>That first histogram looked strange to me--I expected to see a smooth bell curve, and there were these really weird gaps in it. So I ran it again, and this time I pushed Excel even harder to generate over <em>twenty thousand </em>iterations. And this is what I got:</p><p></p><p>[ATTACH=full]425880[/ATTACH]</p><p>So there are now FOUR big gaps in the curve, where the statistical average drops to almost zero (about 1 result out of 20,480, or about a 0.0048% chance). Pretty weird, huh?</p><p></p><p>I was scratching my head until I realized what was happening: this 0.0048% is the chance of rolling four identical results on 4d6, <em>for all six ability scores</em>...not impossible, but highly improbable. There are the four gaps you can see, which occurred when Excel rolled all 2s, 3s, 4s, and 5s...and there are two gaps on either end of the graph where Excel rolled all 1s and all 6s. You just can't see them as well because they are at the far ends of the graph.</p><p></p><p>Stats are cool.</p></blockquote><p></p>
[QUOTE="CleverNickName, post: 9826657, member: 50987"] That first histogram looked strange to me--I expected to see a smooth bell curve, and there were these really weird gaps in it. So I ran it again, and this time I pushed Excel even harder to generate over [I]twenty thousand [/I]iterations. And this is what I got: [ATTACH type="full" width="467px" alt="1766871020459.png"]425880[/ATTACH] So there are now FOUR big gaps in the curve, where the statistical average drops to almost zero (about 1 result out of 20,480, or about a 0.0048% chance). Pretty weird, huh? I was scratching my head until I realized what was happening: this 0.0048% is the chance of rolling four identical results on 4d6, [I]for all six ability scores[/I]...not impossible, but highly improbable. There are the four gaps you can see, which occurred when Excel rolled all 2s, 3s, 4s, and 5s...and there are two gaps on either end of the graph where Excel rolled all 1s and all 6s. You just can't see them as well because they are at the far ends of the graph. Stats are cool. [/QUOTE]
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