Naga








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0 By Bibbo 2 months ago ( 6.3.1 ) If I'm looking to farm Nagas to skill up my Echidna, am I best off farming Flame Snake Woman (Volcano of Vulcan dungeon) for the three Naga chances, or is the drop rate worse in those earlier dungeons? 3 phil 2 months ago ( 6.3.1 ) Scarlet Snake Princess is coming this weekend (2.222.23), I'd suggest saving your stam for now and just heavily farming there 0 I am interested in the answer to his question, though. Disregarding limited time dungeons and random machine pulls, what is the best standard dungeon (normal or technical) to try for this monster? Is the drop rate the same for every dungeon for which Naga may appear? If so, logic dictates the least expensive dungeon in terms of stamina would be one's best bet. 
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Friday Dungeon  
Tuesday Dungeon  
Friday Dungeon  
Tuesday Dungeon  
HeraIs Descended!  
Starlight Sanctuary  
Hyperion Lava Flow  
Weekend Dungeon 
(m) = main encounter
(s) = sub encounter
Assumptions for calculations:
Stam = 100
Drop rate = 2% = .02 (unless otherwise stated)
Normal dungeons:
A) 3 naga(m) @ 5 stam : Volcano of Vulcan/Flame Snake Woman
B) 1 naga(m) @ 7 stam : Fire Forest Nerva/FireWorshiping Snake
C) 1 naga(m) @ 9 stam : Castle of Satan/Witches Ball  Bonus: 1 Lilith(m)
D) 1 naga(m) @ 9 stam : Tower of Flare/Dance of Flame and Light  Bonus: 1 Cupid(m)
E) 1 naga(m) @ 9 stam : Tower of Nature/Great Wheel of Fire  Bonus: 1 Dryad(m)
F) 2 naga(m/s) @ 10 stam : Hyperion Lava Flow/Serpent Loved by Flame (One sub, one main encounter)
***Note: The following main encounters will be assumed to be 5% (.05) drop rate being higher tier
G) 1 naga(m) @ 13 stam : Vest Cave/Underground Fire Lake  Bonus: 1 Dryad(s) & 1 Siren(s)
H) 1 naga(s) @ 13 stam : Frozen Soil of Prosell/Frozen Castle  Bonus: 1 Dryad(s) & 1 Siren(m)
I) 1 naga(s) @ 13 stam : Mars Crater/Shooting Star Woods  Bonus: 1 Siren(s) & 1 Dryad(m)
J) 1 naga(s) @ 14 stam : Jupiter, City in the sky/Claw of Judgement  Bonus: 1 Lilith(s) & 1 Cupid(m)
Special Dungeon:
***Note: The following main encounters will be assumed to be 5% (.05) drop rate for being a special Int/Novice and assuming an average of one trash mob
K) ~3 naga(m) @ 15 stam : Scarlet Snake Princess(Int/Novice)
***Note: The following main encounters will be assumed to be 15% (.15) drop rate being Expert and assuming an average of one trash mob
L) ~3 naga(m) @ 15 stam : Scarlet Snake Princess(Expert)
Monday's drop rate increases of x1.5
Fire Forest Nerva
Hyperion Lava Flow
Vesta Cave

Basic Normal:
A) Probability in one run: (3 independent .02 events) = 1  (.98^3) = .0588 or 5.88%
Stam use: (100/5) = 20 = 20 runs
probability: (20 independent .0588 events) = 1  (.9412^20) = .7018 = a 70.18% chance of getting one naga drop
B) Probability in one run: (1 independent .02 events) = 1  (.98) = .02 or 2%
Stam use: (100/7) = 14.29 = 14 runs
probability: (14 independent .02 events) = 1  (.98^14) = .2464 = a 24.64% chance of getting one naga drop
C) Probability in one run: (1 independent .02 events) = 1  (.98) = .02 or 2%
Stam use: (100/9) = 11.11 = 11 runs
probability: (11 independent .02 events) = 1  (.98^11) = .1993 = a 19.93% chance of getting one naga drop
D) Probability in one run: (1 independent .02 events) = 1  (.98) = .02 or 2%
Stam use: (100/9) = 11.11 = 11 runs
probability: (11 independent .02 events) = 1  (.98^11) = .1993 = a 19.93% chance of getting one naga drop
E) Probability in one run: (1 independent .02 events) = 1  (.98) = .02 or 2%
Stam use: (100/9) = 11.11 = 11 runs
probability: (11 independent .02 events) = 1  (.98^11) = .1993 = a 19.93% chance of getting one naga drop
F) Probability in one run: (2 independent .02 events) = 1  (.98^2) = .0396 or 3.96%
Stam use: (100/10) = 10 = 10 runs
probability: (10 independent .0396 events) = 1  (.9604^10) = .3324 = a 33.24% chance of getting one naga drop
G) Probability in one run: (1 independent .05 events) = 1  (.95) = .05 or 5%
Stam use: (100/13) = 7.69 = 7 runs
probability: (7 independent .05 events) = 1  (.95^7) = .3016 = a 30.16% chance of getting one naga drop
H) Probability in one run: (1 independent .05 events) = 1  (.95) = .05 or 5%
Stam use: (100/13) = 7.69 = 7 runs
probability: (7 independent .05 events) = 1  (.95^7) = .3016 = a 30.16% chance of getting one naga drop
I) Probability in one run: (1 independent .05 events) = 1  (.95) = .05 or 5%
Stam use: (100/13) = 7.69 = 7 runs
probability: (7 independent .05 events) = 1  (.95^7) =.3016 = a 30.16% chance of getting one naga drop
J) Probability in one run: (1 independent .05 events) = 1  (.95) = .05 or 5%
Stam use: (100/14) = 7.14 = 7 runs
probability: (7 independent .05 events) = 1  (.95^7) = .3324 = .3016 = a 30.16% chance of getting one naga drop
Monday Bonus Normal
(.02 X 1.5)=.03 ; (.05 X 1.5)=.075
B) Probability in one run: (1 independent .03 events) = 1  (.97) = .03 or 3%
Stam use: (100/7) = 14.29 = 14 runs
probability: (14 independent .03 events) = 1  (.97^14) = .3472 = a 34.71% chance of getting one naga drop
F) Probability in one run: (2 independent .03 events) = 1  (.97^2) = .0591 or 5.91%
Stam use: (100/10) = 10 = 10 runs
probability: (10 independent .0591 events) = 1  (.9409^10) = .4562 = a 45.62% chance of getting one naga drop
G) Probability in one run: (1 independent .075 events) = 1  (.925) = .075 or 7.5%
Stam use: (100/13) = 7.69 = 7 runs
probability: (7 independent .075 events) = 1  (.925^7) = .4206 = a 42.06% chance of getting one naga drop
Special:
K) Probability in one run: (3 independent .05 events) = 1  (.95^3) = .1426 or 14.26%
Stam use: (100/15) = 6.67 = 6 runs
probability: (6 independent .1426 events) = 1  (.8574^6) = .6027 = a 60.27% chance of getting one naga drop
L) Probability in one run: (3 independent .15 events) = 1  (.85^3) = .3859 or 38.59%
Stam use: (100/15) = 6.67 = 6 runs
probability: (6 independent .3859 events) = 1  (.6141^6) = .4206 = a 94.64% chance of getting one naga drop
If all assumptions are correct, and without adjusting for individual stamina, then:
The best way to farm the naga is in the special dungeon  Scarlet Snake Princess(Expert)
Alternatively, the best way to farm the naga is in the regular dungeon  Volcano of Vulcan/Flame Snake Woman (Even over other dungeons with the x 1.5 drop rate of other dungeons, and over Scarlet Snake Princess Int/Novice)