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Fair Random Stat Generation
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<blockquote data-quote="Camelot" data-source="post: 4859121" data-attributes="member: 82617"><p>Yeah, that's a pretty good idea! Depending on the variability of the race (humans compared to something like goliaths), they have a wider range of stats.</p><p> </p><p>I was searching for the probabilities and I found a handy chart. These are the probabilities of rolling a number with the two methods.</p><p> </p><p>Stat 4d6 drop lowest 2d6 + 6</p><p>3 .1% 0%</p><p>4 .3% 0%</p><p>5 .8% 0%</p><p>6 1.6% 0%</p><p>7 2.9% 0%</p><p>8 4.8% 2.8%</p><p>9 7% 5.6%</p><p>10 9.4% 8.3%</p><p>11 11.4% 11.1%</p><p>12 12.9% 13.9%</p><p>13 13.3% 16.7%</p><p>14 12.3% 13.9%</p><p>15 10.1% 11.1%</p><p>16 7.3% 8.3%</p><p>17 4.2% 5.6%</p><p>18 1.6% 2.8%</p><p> </p><p>Clearly, 2d6+6 will get you higher stats, no questions asked. And the average of 4d6 drop lowest is 12.25, whereas 2d6+6 brings it right to 13. I think the slight raise in stats is nice for player characters, so the players don't feel like their characters got the short end of the stick when they rolled numbers lower than 8. The site I found this on discusses other D&D probabilities (from 3rd Edition, however) if you're interested. <a href="http://sullivan.pgh.pa.us/~ksulliva/ralph/dnd-stats.html" target="_blank">D&D Statistics</a></p><p> </p><p>In my search I came across a site that'll roll character stats for you, and it gave you the option of multiple methods. One of those methods was 2d6+6, so I guess I wasn't the first to think of it (but of course I wasn't, it seems so obvious).</p><p> </p><p>The site I linked to also proposes this method:</p><p>1. Roll 4d6 and remove the lowest die. Do this for each stat.</p><p>2. If none of the stats are higher than 13, start over at step 1.</p><p>3. If the total modifiers added up are 0 or less, start over at step 1.</p><p> </p><p>You end up getting an average total modifier of about +6, which means that the average score is 12 or 13. So around the same area. The problem is, this seems much more time consuming and I wouldn't want to have to reroll the scores for one character even more than once.</p><p> </p><p>Some other score rolling ideas:</p><p> </p><p>3d6 added together. Pretty brutal, though.</p><p>3d6 three times, use highest result.</p><p>4d6 drop lowest, but reroll 1s.</p></blockquote><p></p>
[QUOTE="Camelot, post: 4859121, member: 82617"] Yeah, that's a pretty good idea! Depending on the variability of the race (humans compared to something like goliaths), they have a wider range of stats. I was searching for the probabilities and I found a handy chart. These are the probabilities of rolling a number with the two methods. Stat 4d6 drop lowest 2d6 + 6 3 .1% 0% 4 .3% 0% 5 .8% 0% 6 1.6% 0% 7 2.9% 0% 8 4.8% 2.8% 9 7% 5.6% 10 9.4% 8.3% 11 11.4% 11.1% 12 12.9% 13.9% 13 13.3% 16.7% 14 12.3% 13.9% 15 10.1% 11.1% 16 7.3% 8.3% 17 4.2% 5.6% 18 1.6% 2.8% Clearly, 2d6+6 will get you higher stats, no questions asked. And the average of 4d6 drop lowest is 12.25, whereas 2d6+6 brings it right to 13. I think the slight raise in stats is nice for player characters, so the players don't feel like their characters got the short end of the stick when they rolled numbers lower than 8. The site I found this on discusses other D&D probabilities (from 3rd Edition, however) if you're interested. [url=http://sullivan.pgh.pa.us/~ksulliva/ralph/dnd-stats.html]D&D Statistics[/url] In my search I came across a site that'll roll character stats for you, and it gave you the option of multiple methods. One of those methods was 2d6+6, so I guess I wasn't the first to think of it (but of course I wasn't, it seems so obvious). The site I linked to also proposes this method: 1. Roll 4d6 and remove the lowest die. Do this for each stat. 2. If none of the stats are higher than 13, start over at step 1. 3. If the total modifiers added up are 0 or less, start over at step 1. You end up getting an average total modifier of about +6, which means that the average score is 12 or 13. So around the same area. The problem is, this seems much more time consuming and I wouldn't want to have to reroll the scores for one character even more than once. Some other score rolling ideas: 3d6 added together. Pretty brutal, though. 3d6 three times, use highest result. 4d6 drop lowest, but reroll 1s. [/QUOTE]
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