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Different Methods for Rolling Ability Scores (8-15 range)
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<blockquote data-quote="DND_Reborn" data-source="post: 8501428" data-attributes="member: 6987520"><p>Today I was thinking about the standard array (15, 14, 13, 12, 10, 8) and point-buy compared to rolling ability scores using the suggested 4d6, drop lowest because, well, I am a nerd and have free time now. <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f609.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=";)" title="Wink ;)" data-smilie="2"data-shortname=";)" /></p><p></p><p>First, the average for standard array is 12, while the average for point-buy ranges from 11.5 - 12.5, averaging 12.05 roughly if you consider all possible sets. IME, however, point-buy has a slightly higher average overall in use, about 12.2 or so. Finally, rolling 4d6, drop lowest, has an average of 12.24.</p><p></p><p>I am looking for methods that have an average of roughly 12-12.5, the closer to 12.25 the better, that will randomly generate scores from 8 - 15.</p><p></p><p>I have some ideas (see spoiler's below) for methods for rolling scores from 8 to 15, inclusive, because our group likes the range offered by the standard array and point-buy, and we find when players <em>do</em> roll 4d6, drop lowest, their scores tend to be too good. But we have some players who love to roll their ability scores, so I am trying to develop a method for them.</p><p></p><p>[spoiler]</p><p><strong>Method #1</strong> is a simple d8 + 7, but this produces an average of only 11.5, and given the linear nature is not as appealing.</p><p></p><p><strong>Method #2 and 3</strong> involve rolling either 2d10 or 1d20, respectively, and consulting the chart. The averages are 12.22 and 12.2, so that is good, but I am not a fan of consulting a chart for such purposes.</p><p>[ATTACH=full]149324[/ATTACH]</p><p></p><p><strong>Method 4</strong> involves rolling both 1d6 and 1d8, taking the best roll, and adding 7. This allows for rolling and doesn't require the chart, is non-linear although is skewed, and has a good average of 12.23. But, the idea of rolling dice of two different sizes is somewhat off-putting.</p><p>[/spoiler]</p><p></p><p>What can you come up with that is (hopefully) simple, generates scores from 8 - 15, and averages about 12.25 or so? Any ideas?</p><p></p><p>If you look at the spoiler, are any of the methods I have more appealing to you personally?</p><p></p><p>Finally, if you have a method you've developed for determining ability scores and wish to share it, please do!</p></blockquote><p></p>
[QUOTE="DND_Reborn, post: 8501428, member: 6987520"] Today I was thinking about the standard array (15, 14, 13, 12, 10, 8) and point-buy compared to rolling ability scores using the suggested 4d6, drop lowest because, well, I am a nerd and have free time now. ;) First, the average for standard array is 12, while the average for point-buy ranges from 11.5 - 12.5, averaging 12.05 roughly if you consider all possible sets. IME, however, point-buy has a slightly higher average overall in use, about 12.2 or so. Finally, rolling 4d6, drop lowest, has an average of 12.24. I am looking for methods that have an average of roughly 12-12.5, the closer to 12.25 the better, that will randomly generate scores from 8 - 15. I have some ideas (see spoiler's below) for methods for rolling scores from 8 to 15, inclusive, because our group likes the range offered by the standard array and point-buy, and we find when players [I]do[/I] roll 4d6, drop lowest, their scores tend to be too good. But we have some players who love to roll their ability scores, so I am trying to develop a method for them. [spoiler] [B]Method #1[/B] is a simple d8 + 7, but this produces an average of only 11.5, and given the linear nature is not as appealing. [B]Method #2 and 3[/B] involve rolling either 2d10 or 1d20, respectively, and consulting the chart. The averages are 12.22 and 12.2, so that is good, but I am not a fan of consulting a chart for such purposes. [ATTACH type="full" width="279px" alt="1641247417162.png"]149324[/ATTACH] [B]Method 4[/B] involves rolling both 1d6 and 1d8, taking the best roll, and adding 7. This allows for rolling and doesn't require the chart, is non-linear although is skewed, and has a good average of 12.23. But, the idea of rolling dice of two different sizes is somewhat off-putting. [/spoiler] What can you come up with that is (hopefully) simple, generates scores from 8 - 15, and averages about 12.25 or so? Any ideas? If you look at the spoiler, are any of the methods I have more appealing to you personally? Finally, if you have a method you've developed for determining ability scores and wish to share it, please do! [/QUOTE]
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