1st Kills on act bosses (if you are below lvl 60)
Reset quests (you must have completed every quest to do this) and kill Skelly King (to be moved to Diablo in patch)
Play for a predetermined amount of time (number of hours) without finding a leg.
Only reason is to get the ring (and bragging rights if you can solo it on T6 :p).
Use a D20 then, or a D100, statistics scales very well (seriously go do it).
There are far too many unknowns to calculate the odds of someone finding more than one of legendary, but for people at low level the odds are greater as there are less legs available.
Killed Diablo last night while leveling a new Wiz and he dropped a Str/Vit shield, which was perfect for my Templar, so off class stats do appear on rolls occasionally.
My main complaint about the toughness stat is that I'd like to see one without dodge and have the stat use min rather than average resist, but hey, that's what D3UP is for.
Things like The Grin Reaper (the WD mask that casts "mirror image") might either not drop for you on the recent patch, so grabbing a legacy one allows you to use its effects and still roll something like 400 Int as soon as you get the Mystic. They've been selling for a ton on AH, though thank God I kept one in my stash.
IIRC Devs aim for 1leg/hour, there is a timer that guarantees a drop after a period of time to compensate for bad RNG gods, I would expect it to be around the 2-3 hour mark but have no confirmation of this.
The timer only ticks while you are 'playing' that is out in the world killing stuff.
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Fundamentally the only thing that changes is that you get the legendary a few hours later.
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1st Kills on act bosses (if you are below lvl 60)
Reset quests (you must have completed every quest to do this) and kill Skelly King (to be moved to Diablo in patch)
Play for a predetermined amount of time (number of hours) without finding a leg.
Only reason is to get the ring (and bragging rights if you can solo it on T6 :p).
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There are far too many unknowns to calculate the odds of someone finding more than one of legendary, but for people at low level the odds are greater as there are less legs available.
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Statistically there is someone somewhere (assuming an infinite number of people playing D3) that is finding nothing but Andy's Visages'
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But the official game guide is probably a better bet now.
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http://us.battle.net/d3/en/forum/topic/11307900907?page=15#293
http://us.battle.net/d3/en/forum/topic/11307900907?page=23#451
http://us.battle.net/d3/en/forum/topic/11307900907?page=28#553
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The timer only ticks while you are 'playing' that is out in the world killing stuff.