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<blockquote data-quote="EzekielRaiden" data-source="post: 6871336" data-attributes="member: 6790260">To roll it? Yes, absolutely, you'll be rolling for bloody ages to make that rule work. But the odds of rolling it do not matter for what ACTUALLY hits the table--which is what I've been talking about this entire time. Things that won't ever see the light of play because you won't use them do not matter, the only thing that matters is the average and distribution of stats that ACTUALLY get used (or at least COULD get used). If you look at a random sampling of &quot;actually used&quot; rolls, the averages will be higher, and the probability of having better stats will go up--the two are intertwined facts.I'm not really sure what you're saying here--I have an idea but it...doesn't actually seem relevant to the discussion at hand, so I feel like I'm missing something. Could you rephrase?I don't care about the probability of being generated. I care about the probability of having good stats vs. not having good stats--which absolutely depends on what things you reject. Because if the average result changes, that is equivalent to saying the probabilities change. You can't have a different average result if the probabilities and options are completely identical--that's the definition of expected value, ΣP(x[SUB]i[/SUB])*x[SUB]i[/SUB] (i=1 to n) = x̅.The average result of 4d6k3 is fixed. The average of &quot;4d6k3, apply some extra rules, ignore all results that don't work with those rules&quot; is also fixed--and different. I literally showed that with actual data earlier.</blockquote>

[QUOTE="EzekielRaiden, post: 6871336, member: 6790260"] To [I]roll[/I] it? Yes, absolutely, you'll be rolling for bloody ages to make that rule work. But the odds of [I]rolling[/I] it [I]do not matter[/I] for what ACTUALLY hits the table--which is what I've been talking about this entire time. Things that won't ever see the light of play because you won't use them [I]do not matter[/I], the only thing that matters is the average and distribution of stats that ACTUALLY get used (or at least COULD get used). If you look at a random sampling of "actually used" rolls, the averages will be higher, and the probability of having better stats [I]will[/I] go up--the two are intertwined facts. I'm not really sure what you're saying here--I have an idea but it...doesn't actually seem relevant to the discussion at hand, so I feel like I'm missing something. Could you rephrase? I don't care about the probability of being [I]generated[/I]. I care about the probability of [I]having[/I] good stats vs. not having good stats--which absolutely depends on what things you reject. Because if the average result changes, that is equivalent to saying the probabilities change. You can't have a different average result if the probabilities and options are completely identical--that's the [I]definition[/I] of expected value, ΣP(x[SUB]i[/SUB])*x[SUB]i[/SUB] (i=1 to n) = x̅. The average result of 4d6k3 is fixed. The average of "4d6k3, apply some extra rules, ignore all results that don't work with those rules" is also fixed--and different. I literally showed that with actual data earlier. [/QUOTE]

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