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Message: <blockquote data-quote="orsal" data-source="post: 2311165" data-attributes="member: 16016">Your numbers don't work out right:  I'm not sure where you got your multipliers from, but the probabilities don't add up to one. Since each probability is the probability of two different values, each one should count twice. Add up all those probabilities, times 2, and you get around 1.6. You should get exactly 1.  1 out of 500 is 0.2%, not 0.002%. Also, you don't have the probabilities for "at least one stat", you have the probabilities for any given stat. If your numbers were right (which, as I noted above, they couldn't all be), then you have 50% have either 10 or 11 on any given stat. If the probabilities for different stats are independent, that means 63/64 of the population have at least one 10 or 11. If 0.2& of the population have 3 in any given stat, and another 0.2% have 18 in any given stat, then a little over 2% have at least one stat which is either 3 or 18.  Any probabilities could sound "about right", depending on how narrowly you define "average" and "phenomenally high or low". I do the reverse of your process. I start with the distribution; that's dictated by the mathematics of 3d6. I then use that as my guideline for interpreting what various ability scores mean. So, how strong is a human with 18 strength? As strong as the strongest 0.5% of the population. How stupid is a human with 3 intelligence? Think of the dumbest 0.5% of the population. The top 25% have scores 13-18, so a score of 13-14, for example, is noticeably above average but not exceptional, while a score of 7-8 is likewise noticeably but not exceptionally low.</blockquote>

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