socket formulae variations and odds

[adeyke]

Just wondering if I understand the socketing formula correctly.

A colossal blade can have 1-6 sockets.

But I want to try to get a 3 socket colossal blade, so I found a low-quality colossal blade and then use the "upgrade low-to-normal quality recipe" so that it becomes a normal-quality colossal blade.

According to Arreat Summit, using the "upgrade low-to-normal quality recipe" will set the output item to ilvl=1 (if I understand it correctly).

Does that mean now, when I use the "socketed weapon recipe", and since the colossal blade is now ilvl=1, the maximum number of sockets possible on this colossal blade will be 1-3 (since it's lower than ilvl 26-40), instead of 1-6 (for normally found normal-quality colossal blade).
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Technically, that's correct. However, I find saying it gets 1-3 sockets implies that those are equiprobable. I'd find it more correct to say it gets 1-6 sockets, capped at 3. There'd be a 2/3 chance of 3 sockets, 1/6 of 2, 1/6 of 1.