Why on earth would you even roll stats with a d20, when D&D uses D6 - what would you proove with that? I don't even think, there is a rpg-system out there, that uses d20 for stat rolls.
Ok, I get the randomness, but why not try it with the right dices?
Isnt that irellevant, now when you have 4d6 as demanded? O_o
I overread that, but as Niara said, your numbers don't really make sense. You can't have a 20 or 21 with 4d6, you are supposed to drop the lowest roll.
Yeah, standard method from late 2nd to about 3rd edition is:
Roll 4d6 and drop lowest creating a stat from 3 to 18 with probability tilted in the direction of higher stats.
See the Anydice distribution here:
https://anydice.com/program/13eAfter rolling you are then allowed to assign each roll to whichever of the 6 stats you want rather than placing them in order.
3d6 in order hasn't been standard since early 2nd ed AD&D days.
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Even my brother's method is 5d6k3. See distribution here:
https://anydice.com/program/da6Though he also follows that up with roll 7 times and keep the 6 highest results... then he compares the results everybody got and gives points so people match whoever rolled the highest.