Hall of Lame - worst Unique rolls ever found
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Had this vault map in my HC inventory uid, but yeeeah.. shit turned out perfect alright...
Think i won this game, right? zzZzzzZzzZz Последняя редакция: Tzaina#1504. Время: 28 нояб. 2015 г., 13:49:20
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"Wrong. Its rating is only 1/(2000-1800+1) = 0.4975%. Looks like fifth place atm. And worst change is putting almost all bosses in new version of maps into fucking small areas, where you can't kite well or dodge stuff. What a terrible idiot invented that I want say to him: dude flick you, seriously flick you very much.
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Time for Rebuke of the Vaal to steal the show.
The chance of getting a perfect/worst one is about 1 in 23 billion. To put that into perspective, the odds of winning the Powerball™ Jackpot are about 1 in 292 million. So you're about 80 times more likely to win the lottery than to find a perfect Rebuke. Currently there is only one perfect one known to exist, and it's in the hands of a very happy collector. The reason this item is so hard to get perfect is that there are so many numbers that can vary. Of the 6 mods it has, there are 10 numbers that can change. Only the lightning damage minimum value doesn't change (always 1).
Скрытый текст
Best Rolls Adds 28-40 Physical Adds 28-40 Fire Adds 28-40 Cold Adds 28-40 Chaos Adds 1-70 Lightning 20% Increased Attack Speed Worst Rolls Adds 19-31 Physical Adds 19-31 Fire Adds 19-31 Cold Adds 19-31 Chaos Adds 1-50 Lightning 10% Increased Attack Speed 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 1 * 21 * 11 = 23,100,000,000 possible variations
Math
(28-19+1) * (40-31+1) * (28-19+1) * (40-31+1) * (28-19+1) * (40-31+1) * (28-19+1) * (40-31+1) * (1-1+1) * (70-50+1) * (20-10+1) = 23,100,000,000 possible variations Here's the worst one I've seen so far (non-legacy) 1 * 2 * 7 * 1 * 6 * 1 * 1 * 2 * 1 * 2 * 2 = 672 "imperfection" points
Math
(19-19+1) * (32-31+1) * (25-19+1) * (31-31+1) * (24-19+1) * (31-31+1) * (19-19+1) * (32-31+1) * (1-1+1) * (51-50+1) * (11-10+1) = 672 "imperfection" points 672 / 23,100,000,000 = 0.000000029 0.000000029 * 100% = 0.0000029% That takes first place by a wide margin, although it's possible for an even worse one to be found. Time check your stashes! Remember there are legacy ones out there that will have lower rolls, so take that into account when doing your math.
Legacy
Best Rolls Adds 24-35 Physical Adds 24-35 Fire Adds 24-35 Cold Adds 24-35 Chaos Adds 1-60 Lightning 20% Increased Attack Speed Worst Rolls Adds 15-25 Physical Adds 15-25 Fire Adds 15-25 Cold Adds 15-25 Chaos Adds 1-40 Lightning 10% Increased Attack Speed Последняя редакция: Meridin#6350. Время: 30 нояб. 2015 г., 05:04:18
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" So one guy has effectively won the PB 80 times? IGN: Arlianth
Check out my LA build: 1782214 |
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" Pretty much. The item has so much variation that it's unlikely you'll ever find two Rebukes with the exact same rolls. I haven't actually done the math on that though, but it's the same idea where if you shuffle a standard 52 card deck, the new order of cards is virtually guaranteed to be unique (i.e. never occurred before). Последняя редакция: Meridin#6350. Время: 30 нояб. 2015 г., 06:22:27
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Nice damage but perfect anti-level weapon, if you want to say forever "young" (aka. tedious level grinding). Im glad that i replaced it recently;) Masterpiece of 3.16 lore "A mysterious figure appears out of nowhere, trying to escape from something you can't see. She hands you a rusty-looking device called the Blood Crucible and urges you to implant it into your body." Only usable with Ethanol Flasks Последняя редакция: gandhar0#5532. Время: 30 нояб. 2015 г., 20:33:16
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Wooo, this thread lives on. :D Gotta update the first post when I get home and calculate some stuff. Also, please double check your calculations!
EDIT: Hmmm, think I'll move all of this into google document, as updating it here it the forum takes more and more time. Maybe only post 3-5 "top" ones (because they don't change as often), so there is some trophy and fame value to it. :D Whad'ya think? Real knowledge is to know the extent of one's ignorance. Ignorance more frequently begets confidence than does knowledge. Последняя редакция: Perq#4049. Время: 14 янв. 2016 г., 07:24:48
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203% phys damage from 200-250 8% attack speed from 7-12 104 mana from 100-150 4/51*2/6*5/51=0.002563 or 0.256% Последняя редакция: Andrius319#4787. Время: 14 янв. 2016 г., 07:55:59
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@nephalim
That sword is pretty rare with those rolls. I think that then speaking about damage intervals equation should be more complex. The chance should be found through average damage number and this differs a little. lets just say about that fire damage mod. minimum interval is 10 and maximum is also 10. your rolls are 1 and 7. possible variations is 100 as u wrote. But here there it starts to differ- 7 from 100 should mean that there is only 6 lower possible rolls but it isn't true. there are more low combinations such as 1-6; 1-5; 1-4; 1-3; 1-2; 1-1; plus 2-5; 2-4; 2-3; 2-2; 2-1; plus 3-4; 3-3; and etc. And same goes for upper rolls. For now its difficult to say the outcome. I'm a bit short on time, will come up for precise result after 5 or 6 hours, have stuff to do. Последняя редакция: Andrius319#4787. Время: 14 янв. 2016 г., 08:28:58
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Ok, im done with those side stuffs.
So here are the chances- for phys roll- 3% for fire roll- 7-1; 6-1; 5-1; 4-1; 3-1; 2-1; 1-1; 6-2; 5-2; 4-2; 3-2; 2-2; 1-2; 5-3; 4-3; 3-3; 2-3; 1-3; 4-4; 3-4; 2-4; 1-4; 3-5; 2-5; 1-5; 2-6; 1-6; 1-7. ->28=((8-1)^2+(8-1))/2 28/100=0.28 or 28% for cold roll- 6+1=7; ((7-1)^2+(7-1))/2=21% for chaos roll- 1+2=3; ((3-1)^2+(3-1))/2=3% for lightning roll- 2/21 for attack speed- 2/11 The end result- 0.03*0.28*0.21*0.03*2/21*2/11=9.16*10^(-7) or 0.0000916% So yeah, its still a clear winner :D Edit: if we would consider about general item quality, the equation will be different again, for instance: lets say item has 10 mods, all of them are average roll at 50%, so the most average item should have 50% chance no matter of number of mods (and with current rules its not 50% but 0.98%). With general quality, item is allowed to have such values as 90%, 10%, 30%, 70% which average is 50%. well maybe not average, its quite some digging. But its out of topic rules. Последняя редакция: Andrius319#4787. Время: 14 янв. 2016 г., 12:26:00
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