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elan

Rolling and point buy ability scores for Pathfinder

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Curiosity got the better of me so I've spent 10 minutes calculating distribution of point buy values for 4d6rb3 (roll four d6, reroll all 1s, take the best 3). A score of 6 was assigned a value of -6,
5 a value of -9
4 a value of -12
and 3 a value of -16.


Attachment 17752

Mean: 29.83
Standard deviation: 10.69
Probability of generating a score value of 15 or higher: 93.35%
Probability of generating a score value of 20 or higher: 83.08%
Probability of generating a score value of 25 or higher: 67.46%
Probability of generating a score value of 30 or higher: 49.14%
Probability of generating a score value of 35 or higher: 31.8%
Probability of generating a score value of 15 or less: 8.23%
Probability of generating a score value of 20 or less: 19.67%
Probability of generating a score value of 25 or less: 36.11%
Probability of generating a score value of 30 or less: 54.54%
Probability of generating a score value of 35 or less: 71.29%



4d6b3 (roll four d6, take the best 3)

Attachment 17755

Mean: 18.83
Standard deviation: 11.38
Probability of generating a score value of 15 or higher: 63.85%
Probability of generating a score value of 20 or higher: 46.13%
Probability of generating a score value of 25 or higher: 29.79%
Probability of generating a score value of 30 or higher: 17.15%
Probability of generating a score value of 35 or higher: 8.8%
Probability of generating a score value of 15 or less: 39.64%
Probability of generating a score value of 20 or less: 57.34%
Probability of generating a score value of 25 or less: 73.08%
Probability of generating a score value of 30 or less: 84.86%
Probability of generating a score value of 35 or less: 92.4%

3d6 (roll three d6)
Attachment 17757
Mean: 3
Standard deviation: 11.06
Probability of generating a score value of 15 or higher: 14.29%
Probability of generating a score value of 20 or higher: 6.67%
Probability of generating a score value of 25 or higher: 2.76%
Probability of generating a score value of 30 or higher: 1.02%
Probability of generating a score value of 35 or higher: 0.34%
Probability of generating a score value of 15 or less: 87.61%
Probability of generating a score value of 20 or less: 94.36%
Probability of generating a score value of 25 or less: 97.72%
Probability of generating a score value of 30 or less: 99.17%
Probability of generating a score value of 35 or less: 99.73%

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Comments

  1. theScrappy's Avatar
    Nice!
  2. Adanedhel's Avatar
    Well done, it's a very good overview.
    One small addendum though: point-buy has the advantage of flexibility. You can finetune your stats, which an array doesn't allow.
  3. elan's Avatar
    Thank you very much
  4. Isada's Avatar
    Cool study!