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1
A puff has a 50% chance of being either high or low. A high puff results in no damage being dealt.
With perfect execution, a fight will end after 9 low puffs.
These calculations assume flawless execution.
Note that the first puff of the fight is essentially ignored because due to how the first baby dragon spawns,
whether that puff is high or low doesn't end up cutting any cycles. So a perfect fight would last 10 puffs basically.

"Individual odds" are the odds of getting exactly that high puff count, "Odds of that or better" are the odds of getting
that high puff count or lower.
2
Individual oddsOdds of that or better
3
High Puffs
4
01/5120.20%1/5120.20%
5
19/10240.88%11/10241.07%
6
245/20482.20%67/20483.27%
7
3165/40964.03%299/40967.30%
8
4495/81926.04%1093/819213.34%
9
51287/163847.86%3473/1638421.20%
10
63003/327689.16%9949/3276830.36%
11
76435/655369.82%26333/6553640.18%
12
86435/655369.82%1/250%
13
912155/1310729.27%77691/13107259.27%
14
1021879/2621448.35%177261/26214467.62%
15
1137791/5242887.21%392313/52428874.83%
16
1262985/10485766.01%847611/104857680.83%
17
13101745/20971524.85%1796967/209715285.69%
18
14159885/41943043.81%3753819/419430489.50%
19
15245157/83886082.92%7752795/838860892.42%
20
16735471/335544322.19%31746651/3355443294.61%
21
171081575/671088641.61%64574877/6710886496.22%
22
181562275/1342177281.16%130712029/13421772897.39%
23
192220075/2684354560.83%263644133/26843545698.22%
24
203108105/5368709120.58%530396371/53687091298.79%
25
214292145/10737418240.40%1065084887/107374182499.19%
26
225852925/21474836480.27%2136022699/214748364899.47%
27
237888725/42949672960.18%4279934123/429496729699.65%
28
242629575/21474836480.12%4285193273/429496729699.77%
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