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<blockquote data-quote="Thanee" data-source="post: 2172172" data-attributes="member: 478">Calculating it would be fairly easy. You just take all possible results (3-18) and calculate the probability to get it (taken from dcollins' table) and then weigh it with the PB value of that score, but I think you are already doing that, given that other thread of yours (for this purpose it's probably best to use a linear negative PB score, btw). <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f609.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=";)" title="Wink&nbsp; &nbsp; ;)"&nbsp; data-smilie="2"data-shortname=";)" />So you get (16x21+13x54+10x94+...-5x1)/1296 ~ average PB value of one 4d6dl roll.The numbers in the sum are PB value of the score (16 for 18; 13 for 17; 10 for 16; ...; -5 for 3) multiplied by the number of combinations, which result in that score (21 for 18; 54 for 17; 94 for 16; ...; 1 for 3).Multiply that number by 6 and you got the approximated average PB value of the 4d6dl method.The result is 6293/1296*6=29.134 (if all scores of 8 or lower count as 0 PB) and 6166/1296*6=28.546 (if scores below 8 count as -1, -2, -3, -4 and -5 PB respectively).(Hopeless characters and re-rolls not figured in yet, but they only increase those numbers and certainly not by much. And a bit higher for 4d6dl is ok, anyways, since you do not have the same flexibility in distributing the points among the abilities.)Therefore PB 28 is most close to 4d6dl. PB 25 is more like low-powered, not average.ByeThanee</blockquote>

[QUOTE="Thanee, post: 2172172, member: 478"] Calculating it would be fairly easy. You just take all possible results (3-18) and calculate the probability to get it (taken from dcollins' table) and then weigh it with the PB value of that score, but I think you are already doing that, given that other thread of yours (for this purpose it's probably best to use a linear negative PB score, btw). ;) So you get (16x21+13x54+10x94+...-5x1)/1296 ~ average PB value of one 4d6dl roll. [size=1]The numbers in the sum are PB value of the score (16 for 18; 13 for 17; 10 for 16; ...; -5 for 3) multiplied by the number of combinations, which result in that score (21 for 18; 54 for 17; 94 for 16; ...; 1 for 3).[/size] Multiply that number by 6 and you got the approximated average PB value of the 4d6dl method. The result is 6293/1296*6=29.134 (if all scores of 8 or lower count as 0 PB) and 6166/1296*6=28.546 (if scores below 8 count as -1, -2, -3, -4 and -5 PB respectively). [size=1](Hopeless characters and re-rolls not figured in yet, but they only increase those numbers and certainly not by much. And a bit higher for 4d6dl is ok, anyways, since you do not have the same flexibility in distributing the points among the abilities.)[/size] Therefore PB 28 is most close to 4d6dl. PB 25 is more like low-powered, not average. Bye Thanee [/QUOTE]

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