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General Tabletop Discussion
*Pathfinder & Starfinder
Probability vs. Point Buy
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<blockquote data-quote="Gizzard" data-source="post: 1756003" data-attributes="member: 527"><p>OK, I decided to run the figures myself for 4d6-L. It looks like you get a nice curve of some sort; it's pretty widely spread with the peak at 30. This is good, it matches stephenh's numbers. Here is the sweet spot of the probability curve:</p><p></p><p>points probability</p><p>20 1.7%</p><p>21 1.9%</p><p>22 2.2%</p><p>23 2.5%</p><p>24 2.7%</p><p>25 2.9%</p><p>26 3.1%</p><p>27 3.2%</p><p>28 3.3%</p><p>29 3.3%</p><p>30 3.3%</p><p>31 3.3%</p><p>32 3.2%</p><p>33 3.0%</p><p>34 2.8%</p><p>35 2.7%</p><p>36 2.5%</p><p>37 2.3%</p><p>38 2.1%</p><p>39 1.8%</p><p></p><p>This sweet spot covers about 54% of the possible results, which puts it again in line with the existing 25/75 percentile numbers. The sweet spot and the non-point buy results cover 84% of the spectrum; the remaining 16% is pretty spread out. The lowest point buy I saw in 1,000,000 character generations was 1 (pity da foo) and the highest was 83 (wow). </p><p></p><p>One interesting thing which hasn't yet been mentioned is that almost 30% of the overall results don't map to a valid point buy as they contain a stat below 8. So keep this in mind; if you run a six player campaign, you'll likely see two players with a pretty bad stat.</p></blockquote><p></p>
[QUOTE="Gizzard, post: 1756003, member: 527"] OK, I decided to run the figures myself for 4d6-L. It looks like you get a nice curve of some sort; it's pretty widely spread with the peak at 30. This is good, it matches stephenh's numbers. Here is the sweet spot of the probability curve: points probability 20 1.7% 21 1.9% 22 2.2% 23 2.5% 24 2.7% 25 2.9% 26 3.1% 27 3.2% 28 3.3% 29 3.3% 30 3.3% 31 3.3% 32 3.2% 33 3.0% 34 2.8% 35 2.7% 36 2.5% 37 2.3% 38 2.1% 39 1.8% This sweet spot covers about 54% of the possible results, which puts it again in line with the existing 25/75 percentile numbers. The sweet spot and the non-point buy results cover 84% of the spectrum; the remaining 16% is pretty spread out. The lowest point buy I saw in 1,000,000 character generations was 1 (pity da foo) and the highest was 83 (wow). One interesting thing which hasn't yet been mentioned is that almost 30% of the overall results don't map to a valid point buy as they contain a stat below 8. So keep this in mind; if you run a six player campaign, you'll likely see two players with a pretty bad stat. [/QUOTE]
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