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The descriptions in game especially in the wiki are very confusing. As follows,for the legendary weapon "Infinity":

Infinity is obtained randomly from any suitable loot source but has an increased chance to drop from Doc Mercy located in Three Horns - Valley.

What is this "increased" chance to drop? 1%? 10%? And what's the base chance to start out?

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  • Well, we know that the weighting of any given mob dropping a Legendary is 0.00999999978 (relative to whites, which are weighted at 200), but it's hard to put that to a percent, nor do we know how much this is scaled for things that have a particular legendary they're predisposed to. "Abysmal" is a good TL,DR though. I'd just recommend cooking the thing up in Gibbed's editor.
    – Rilgon Arcsinh
    Commented Feb 7, 2013 at 7:21
  • Darn. I was really hoping to snag myself a Legendary Command Mod. Been hoping to get one for some time, but it seems nobody actually has one of them. Oh well.
    – childe
    Commented Feb 7, 2013 at 7:26
  • Only drops from Vermivormous or chests/vending machines, so... good luck with that. (Again, just make it in Gibbed's editor.)
    – Rilgon Arcsinh
    Commented Feb 7, 2013 at 7:27
  • I feel bad, I really want to have a "legitimate" weapon. Guess'll have to turn to the dark side and do some editing. Thanks for the tip. Also, just leave it as an answer. I think it'll do (unless someone else has stats of some sort)
    – childe
    Commented Feb 7, 2013 at 7:28
  • The most recent version is here. I'm loathe to provide that as an answer because it's so nebulous and doesn't answer the question at all, really. Using the gearcalc can help with cooking up specific things.
    – Rilgon Arcsinh
    Commented Feb 7, 2013 at 8:38

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Low. Really really really low. Legendary weapons drop with single digit percent chances at best, and that's from the proper boss (though some bosses seem to usually drop a legendary the first time when fought only).

There's no single percentage though, different items have different methods of obtaining:

Every time a Burner-type enemy drops a sniper rifle, the sniper rifle dropped has a .88% chance to be the Cobra.

Though the Infinity has a higher chance to drop from Doc Mercy, the chance of an actual drop is still staggeringly low, making far rarer to come by then its other Legendary brethren.

Lots of people seem convinced the Infinity has a lower drop rate but I haven't found anywhere that lists drop chances formally (either from the game's code or crowdsourced experiments), and the Cobra's drop rate and method was released publicly by a gearbox employee (because no one had found it...)

There's a rumor going around that the legendary drop rate from a boss is 1/20 but from my own observations this seems optimistically high. Certain high-drop rate bosses like the Warrior seem to drop one about this often, but at best they'll drop one of their legendaries at this rate rather than having a 1/20 chance for each. Which means you'll probably have to fight Warrior >100 times to get one of each legendary he has, if you're lucky.

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There was a crowdsourcing attempt done by the borderlands subbreddit a while back. It only looked at a few guns, but the infinity is listed and dropped at absurdly low rates: 7/1248 or about 0.5%

src: http://www.reddit.com/r/Borderlands/comments/110c39/crowd_sourcing_project_v3/

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The wiki article recently had the following text:

Though the Infinity has a higher chance to drop from Doc Mercy, the chance of an actual drop is still 0.07%(which is 1428 kills), making it extremely rare even compared to other legendaries.

Which was removed with no explanation.

Regarding a Legendary Soldier Mod, though... I've been farming Leviathan's Treasure Room, and after some 10 runs I'm up one Legendary Siren and one Legendary Berserker! I may be insanely lucky, but the probability may just be better than Vermivorous.

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