#### Rolling and point buy ability scores for Pathfinder

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, 02-13-2017 at 11:53 AM (3037 Views)
Curiosity got the better of me so I've spent 10 minutes calculating distribution of point buy values for(roll four d6, reroll all 1s, take the best 3). A score of 6 was assigned a value of -6,4d6rb3

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%

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

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%

(roll three d6)3d6

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%