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Any Math Geeks out there that like to mess with Dice averages?
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<blockquote data-quote="Christian" data-source="post: 346813" data-attributes="member: 381"><p>Depends how you count it. For the record: 4d6 drop the lowest gives an average of ~12.25. So, the total of the six stats will average ~73.5. Point buy gives a base of eight in each stat (a total of 48 for the six), and (up to 14) costs one building point per stat point. So, barring munchkins who just have to buy up some high stats <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f600.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":D" title="Big grin :D" data-smilie="8"data-shortname=":D" /> , you'll have 48+25 = 73 total stat points on 25-point buy. <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f61b.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":p" title="Stick out tongue :p" data-smilie="7"data-shortname=":p" /> If you weight the average rolls by their point-buy cost, you'll get a higher number in the rolling method, though.</p><p></p><p>My old 486 is still grinding away at an exact solution to the original question (hey-I have to do <em>real</em> work on my primary machine!), but a ~5,000,000 sample run in Excel gave an average of 12.91 with the 'seven rolls, drop the lowest' method. This is approximately equivalent to 29-point buy.</p><p></p><p>BTW, I use this system too. It only slightly increases the average and the chance of getting really high rolls, but it significantly decreases the chances of really low rolls, virtually eliminating the incidence of characters with two or more scores under 8.</p></blockquote><p></p>
[QUOTE="Christian, post: 346813, member: 381"] Depends how you count it. For the record: 4d6 drop the lowest gives an average of ~12.25. So, the total of the six stats will average ~73.5. Point buy gives a base of eight in each stat (a total of 48 for the six), and (up to 14) costs one building point per stat point. So, barring munchkins who just have to buy up some high stats :D , you'll have 48+25 = 73 total stat points on 25-point buy. :p If you weight the average rolls by their point-buy cost, you'll get a higher number in the rolling method, though. My old 486 is still grinding away at an exact solution to the original question (hey-I have to do [i]real[/i] work on my primary machine!), but a ~5,000,000 sample run in Excel gave an average of 12.91 with the 'seven rolls, drop the lowest' method. This is approximately equivalent to 29-point buy. BTW, I use this system too. It only slightly increases the average and the chance of getting really high rolls, but it significantly decreases the chances of really low rolls, virtually eliminating the incidence of characters with two or more scores under 8. [/QUOTE]
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Any Math Geeks out there that like to mess with Dice averages?
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