Odion Farming Guide

Decks to Farm
Odion
Points Approximate points received per duel.
Budget decks.
Decks that are great for beginners.

Odion
's Level 40/50 Character Drops
Rating 8.5 / 10
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Reward Drop Rates

Rates based on per chest/pack

Gold Pack37% - 44 %
Platinum Pack3% - 6%
Skill0.5% - 2%
Show Analysis

Odion LVL 40 Observed Drop Rates ( as of 30/05/2017)


Attempts: 530

Gold Packs: 217

SR: 24

Skill: 7

Observed Probabilities:
(Rounded to 5 decimal places)
Gold Packs: 0.40943 = 40.943%
Super Rares: 0.04528 = 4.528%
Skills: 0.01321 = 1.321%

**Probability Ranges at 90% confidence**
Probability of pulling at least one of from one reward
Math:
P denotes "Probability" / "Probability of"
g denotes "gold pack"
sr denotes "super rare"
sk denotes "skill"
n denotes "number of attempts" / "sample size"
Z denotes "standard deviations away from observed value"
XCY denotes " number of combinations from X choosing Y"


Formula for probability of single drops:
Z at  90% = 1.645, Z at 95% = 1.96. 

Observed P +- Z x STD DEV, 

P(x) +- Z ( SQRT ((P(1-P))/n)

P(g) = 0.40943+-0.35136 = [0.37429 , 0.44457] = 37.429% - 44.457%
P(sr) = 0.04528+-0.014857 = [0.03042 , 0.06014] = 3.042% - 6. 014%
P(sk) = 0.01321 +-0.008158 = [0.00505 , 0.02137] = 0.505% - 2.137%

Results:
P(g) = 37.429% - 44.457%
P(sr) = 3.042% - 6. 014%
P(sk) = 0.505% - 2.137%

Chance of pulling AT LEAST one of from ideal (8 reward) farm attempt
P(x>=1) = 1 - P(x=0)
P(x=0) = 8C0 x P(x)^0 x P(1-x)^8
P(x=0) = 1 x 1 x P(1-x)^8 = P(1-x)^8
P(x>=1) = 1 - P(1-x)^8

Using above observations:
P(1-g)^8 = (0.59057)^8 = 0.01480
P(1-sr)^8 = (0.95472)^8 = 0.69025

P(g>=1) = 1 - 0.01480 = 98.520
P(sr>=1) = 1 - 0.69025 = 0.30975

Results
Chance of pulling at least one gold pack = 98.520%
Chance of pulling at least one super rare card = 30.975%

Chance of pulling Gravekeeper's Recruiter:
Super rare cards drop rate = 4.528%
4.528/6 = 0.755%= 0.007547 = P(gv)
1- P(gv) = 0.992454
P(1-gv)^8 = 0.94120
P(gv>=1) = 1 - 0.94120 = 0.5880 = 5.880%

Results:
Given perfect run, chance of pulling Gravekeeper's Recruiter = 5.880%

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