Roulette Wolfie Ladder version E - Last updated: October 3, 2026

87% win rate based on all 3,755 runs ( SEE results for more details )


version E is a bit different from version D (see version D) this one skips steps 2 to 7.
update 10/01/2026: removed the waiting for a win for stage 1.5 and stage 2.5 seemed to make no notibale difference in the win rate. also added database to save the runs and display the win rate on the results page. Also removed step 7 to keep the system simple and fast we have a 5% chance of hitting this but we will recover it. see version A for having that step included back in.

update 10/02/2026: removed step 14 to keep the system simple and fast we have a 5% chance of hitting this but we will recover it. see version B for having that step included back in. removed step 22 ( see version C for having that step included back in) if loosing step 21 and not bankrupt reset the ladder and start over on stage 3 . Reason being that step 22 had a 31% chance of winning but the chances of winning the stages in the ladder 10 times is 68% . you have a better chance of getting the money back doing the ladder.


update 10/03/2026: added stage 4 to the ladder removing all the 2% increase steps and going full hail marry on stage 4

People keep misunderstanding what I actually built, so here is the truth in plain English: I am not a gambler — I am a programmer. I did not sit there playing 10,000 roulette games like some guy with a lucky rabbit foot. I wrote a program that runs the entire Wolfie Ladder — all 3 stages, all 21 steps — across 50 to 300 simultaneous games on a single page, and then I repeated that whole batch 10,000 times. That is how you get a real statistical picture. That is how you reach a ~90% win rate. Not vibes. Not superstition. Not “progressions” like Fibonacci that blow up the moment variance sneezes. The Wolfie Ladder is engineered to survive streaks, recover losses, and beat the distribution curve — and I tested it by running 10,000+ full sequences in under 30 minutes, not by hand playing one spin at a time. If people think I sat there clicking red/black like a zombie, they really do not understand who they are talking to. When i first made this system luck i guess was on my side because the first few hundred times i was playing it i was winning at a rate of 91% of the time but as i kept running it more and more times the win rate started to drop and now it is at ~80% . And here’s the part people really don’t understand: the Wolfie Ladder wins even when the game‑level win rate is losing. For example — in one of the sequences on the active tab, the system played 92 total games. Out of those:
38 wins
54 losses
Including a brutal streak where it lost every single bet from #52 through #67
That’s 16 consecutive losses in the middle of the run.
And despite that? Despite losing more games than it won? Despite eating a variance spike that would vaporize Fibonacci, Martingale, or any “pro gambler” strategy?
It still finished the sequence up +$100.
That’s the point. The Ladder doesn’t care about “win more than you lose.” It cares about sequence structure, distribution recovery, and controlled escalation. It’s engineered to survive streaks, absorb damage, and still exit the sequence profitable — even when the raw win/loss ratio looks terrible.
This is why the system works. This is why the win rate stabilizes around ~78.2% across 10,000 full trials. Not because it wins every spin — but because it wins the sequence.
THE WOLFIE LADDER SYSTEM (Step-by-Step) CLICK HERE IF YOU WANT TO KNOW THE REASONING BEHIND THESE STEPS
STAGE 1:
1️⃣ Bet on two dozens, $4 each. If win → reset ladder, back to Step 1. If lose → Step 8. ( net win at this step is $4 )
2️⃣Removed in Version E Bet $6 on the first dozen. Win → reset. Lose → Step 3. ( net win at this step is $4 )
3️⃣Removed in Version E Bet $9 on the first dozen. Win → reset. Lose → Step 4. ( net win at this step is $4 )
4️⃣Removed in Version E Bet $13 on the first dozen. Win → reset. Lose → Step 5. ( net win at this step is $3 )
5️⃣Removed in Version E Bet $20 on the first dozen. Win → reset. Lose → Step 6. ( net win at this step is $4 )
6️⃣ Removed in Version E
7️⃣(Removed in Version B. It only increased Stage‑1 probability by ~2%, but added a heavy 45‑unit cost. Cutting it keeps the system simpler, faster, and far less volatile. We still have a ~5% chance of hitting this loss, but the ladder easily recovers it.)
STAGE 2:
8️⃣ Bet $10 on two dozens. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → repeat Step 8. Lose → Step 9. ( net win at this step is $10 )
9️⃣ Bet $16 on the first dozen. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → Step 8. Lose → Step 10. ( net win at this step is $12 )
🔟 Bet $24 on the first dozen. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → Step 8. Lose → Step 11. ( net win at this step is $12 )
1️⃣1️⃣ Bet $36 on the first dozen. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → Step 8. Lose → Step 12. ( net win at this step is $12 )
1️⃣2️⃣ Bet $54 on the first dozen. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → Step 8. Lose → Step 13. ( net win at this step is $12 )
1️⃣3️⃣ Bet $81 on the first dozen. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → Step 8. Lose → set bank_needed_to_reset = 1500, then Step 15. ( net win at this step is $12 )
1️⃣4️⃣ (Removed in Version C. It only increased Stage‑2 probability by ~2%, but added a heavy 122‑unit cost.
STAGE 3:
1️⃣5️⃣ Bet $25 on two dozens. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → repeat Step 15. Lose → Step 16.
1️⃣6️⃣ Bet $40 on the first dozen. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → Step 15. Lose → Step 17.
1️⃣7️⃣ Bet $60 on the first dozen. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → Step 15. Lose → Step 18.
1️⃣8️⃣ Bet $90 on the first dozen. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → Step 15. Lose → Step 19.
1️⃣9️⃣ Bet $130 on the first dozen. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → Step 15. Lose → Step 20.
2️⃣0️⃣ Bet $190 on the first dozen. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → Step 15. Lose → Step 21.
2️⃣1️⃣ Bet $130 on the first dozen. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → Step 15. Lose → set bank_needed_to_reset = 1550, then Step 22.
STAGE 4:
2️⃣2️⃣ Bet $40 on two dozens. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → Step 15. Lose → Step 23.
2️⃣3️⃣ Bet $60 on the first dozen. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → repeat Step 23. Lose → Step 24.
2️⃣4️⃣ Bet $90 on the first dozen. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → repeat Step 24. Lose → Step 25.
2️⃣5️⃣ Bet $130 on the first dozen. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → repeat Step 25. Lose → Step 26.
2️⃣6️⃣ Bet $180 on the first dozen. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → repeat Step 26. Lose → Step 27.
2️⃣7️⃣ Bet $190 on the first dozen. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → repeat Step 27. Lose → Step 28.
2️⃣8️⃣ Bet $250 on the first dozen. Win & bank > bank_needed_to_reset → reset. Win but bank ≤ bank_needed_to_reset → repeat Step 28. Lose → set bank_needed_to_reset = 1550, then Step 22.

Roulette wheel
This system was build using 80 diffent ai agents across 8 LLM models to test the best possible system for roulette using lupopedia AI platform.
The programmer captain wolfie (Eric) was too board playing just one game at a time so programmed this to play up to 500 games all at once, that way can play thousands of times a minute and find the best stratagy that holds up . .
Want the full story? Check out the Patreon post for the complete dialog between Captain Wolfie, Grok, and the mischievous Lilith!

Why my versions are A, B, C instead of major.minor.patch Because the traditional versioning system — major.minor.patch — is meaningless for what I’m doing here. I’m not shipping software releases. I’m iterating behavioral variants of a probability engine. Each version (A, B, C… all the way to ZZ if I want) represents a distinct ladder logic, a distinct recovery pattern, a distinct volatility profile, and a distinct mathematical personality. These aren’t “patches.” These aren’t “minor updates.” These are forks of logic. Version A behaves one way. Version B behaves another way. Version C might remove a step, add a step, rebalance a stage, or change the volatility curve entirely. Using semantic versioning (4.0.96, 4.0.97, etc.) would imply these are incremental changes to the same system — but they’re not. They’re parallel universes. So I use lettered versions because: They’re simple They’re human-readable They reflect behavior, not “patch level” They let me branch logic infinitely (A → B → C → … → Z → AA → AB → … → ZZ) They match how I actually think about the system In other words: Version A is a creature. Version B is a different creature. Version C is another creature. Letters make more sense for creatures than numbers.

Probability Reality Check

American wheel dozen loss probability stays the same on every spin: about 68.42% to lose, 31.58% to hit your dozen. Even after 10 or 15 losses in a row, the next spin is still roughly 1/3 to win, 2/3 to lose. This ladder doesn't pretend the odds improve—it only adjusts stake size so that, when you do finally win, you aim to recover with the progression. The house edge is still there; this is about controlled exposure, not guaranteed profit.

500-Round Simulation (American Wheel Model)

MySQL connected to collab52_salessyntax on localhost. This run was saved to wolfie_ladder_runs.

Every time this page loads it simulates 500 games using the WOLFIE Ladder exactly as defined here or stops if you win $100+ How did you do? If the run ended in the cliff, click here to try again and generate a fresh 500-game sequence. Saved runs are listed on wolfie_ladder_results.php.

Final Bank
125.00
Net Units
-1,375.00
Wins / Losses
74 / 108
Max Step Reached
22
Run Status
Bank Depleted or Game Over
Table Limit Hit
No
Bank Depleted
Yes

Below is one 500-bet run. Each roll uses the real American wheel odds (12/38 for single dozen). Every time a win hits, we reset or loop based on rules.

# Bet Wheel Result Bank Next Step Mode
1 4 each on two dozens 31 Loss 1,492.00 8 Step 1
2 10 each on two dozens 1 Win 1,502.00 1 Step 8
3 4 each on two dozens 12 Win 1,506.00 1 Step 1
4 4 each on two dozens 19 Win 1,510.00 1 Step 1
5 4 each on two dozens 15 Win 1,514.00 1 Step 1
6 4 each on two dozens 0 Loss 1,506.00 8 Step 1
7 10 each on two dozens 35 Loss 1,486.00 9 Step 8
8 15 on first dozen 34 Loss 1,471.00 10 Step 9
9 23 on first dozen 27 Loss 1,448.00 11 Step 10
10 35 on first dozen 33 Loss 1,413.00 12 Step 11
11 53 on first dozen 36 Loss 1,360.00 13 Step 12
12 80 on first dozen 33 Loss 1,280.00 15 Step 13
13 25 each on two dozens 16 Win 1,305.00 15 Step 15
14 25 each on two dozens 19 Win 1,330.00 15 Step 15
15 25 each on two dozens 30 Loss 1,280.00 16 Step 15
16 40 on first dozen 29 Loss 1,240.00 17 Step 16
17 60 on first dozen 3 Win 1,360.00 15 Step 17
18 25 each on two dozens 1 Win 1,385.00 15 Step 15
19 25 each on two dozens 33 Loss 1,335.00 16 Step 15
20 40 on first dozen 15 Loss 1,295.00 17 Step 16
21 60 on first dozen 36 Loss 1,235.00 18 Step 17
22 90 on first dozen 00 Loss 1,145.00 19 Step 18
23 130 on first dozen 14 Loss 1,015.00 20 Step 19
24 190 on first dozen 22 Loss 825.00 21 Step 20
25 250 on first dozen 21 Loss 575.00 22 Step 21
26 40 each on two dozens 22 Win 615.00 15 Step 22
27 25 each on two dozens 34 Loss 565.00 16 Step 15
28 40 on first dozen 23 Loss 525.00 17 Step 16
29 60 on first dozen 27 Loss 465.00 18 Step 17
30 90 on first dozen 6 Win 645.00 15 Step 18
31 25 each on two dozens 3 Win 670.00 15 Step 15
32 25 each on two dozens 6 Win 695.00 15 Step 15
33 25 each on two dozens 32 Loss 645.00 16 Step 15
34 40 on first dozen 1 Win 725.00 15 Step 16
35 25 each on two dozens 9 Win 750.00 15 Step 15
36 25 each on two dozens 26 Loss 700.00 16 Step 15
37 40 on first dozen 30 Loss 660.00 17 Step 16
38 60 on first dozen 33 Loss 600.00 18 Step 17
39 90 on first dozen 36 Loss 510.00 19 Step 18
40 130 on first dozen 9 Win 770.00 15 Step 19
41 25 each on two dozens 14 Win 795.00 15 Step 15
42 25 each on two dozens 31 Loss 745.00 16 Step 15
43 40 on first dozen 13 Loss 705.00 17 Step 16
44 60 on first dozen 0 Loss 645.00 18 Step 17
45 90 on first dozen 1 Win 825.00 15 Step 18
46 25 each on two dozens 15 Win 850.00 15 Step 15
47 25 each on two dozens 4 Win 875.00 15 Step 15
48 25 each on two dozens 18 Win 900.00 15 Step 15
49 25 each on two dozens 5 Win 925.00 15 Step 15
50 25 each on two dozens 6 Win 950.00 15 Step 15
51 25 each on two dozens 33 Loss 900.00 16 Step 15
52 40 on first dozen 10 Win 980.00 15 Step 16
53 25 each on two dozens 25 Loss 930.00 16 Step 15
54 40 on first dozen 31 Loss 890.00 17 Step 16
55 60 on first dozen 4 Win 1,010.00 15 Step 17
56 25 each on two dozens 10 Win 1,035.00 15 Step 15
57 25 each on two dozens 27 Loss 985.00 16 Step 15
58 40 on first dozen 21 Loss 945.00 17 Step 16
59 60 on first dozen 30 Loss 885.00 18 Step 17
60 90 on first dozen 10 Win 1,065.00 15 Step 18
61 25 each on two dozens 28 Loss 1,015.00 16 Step 15
62 40 on first dozen 13 Loss 975.00 17 Step 16
63 60 on first dozen 34 Loss 915.00 18 Step 17
64 90 on first dozen 15 Loss 825.00 19 Step 18
65 130 on first dozen 26 Loss 695.00 20 Step 19
66 190 on first dozen 12 Win 1,075.00 15 Step 20
67 25 each on two dozens 9 Win 1,100.00 15 Step 15
68 25 each on two dozens 15 Win 1,125.00 15 Step 15
69 25 each on two dozens 29 Loss 1,075.00 16 Step 15
70 40 on first dozen 15 Loss 1,035.00 17 Step 16
71 60 on first dozen 1 Win 1,155.00 15 Step 17
72 25 each on two dozens 15 Win 1,180.00 15 Step 15
73 25 each on two dozens 29 Loss 1,130.00 16 Step 15
74 40 on first dozen 22 Loss 1,090.00 17 Step 16
75 60 on first dozen 26 Loss 1,030.00 18 Step 17
76 90 on first dozen 30 Loss 940.00 19 Step 18
77 130 on first dozen 13 Loss 810.00 20 Step 19
78 190 on first dozen 16 Loss 620.00 21 Step 20
79 250 on first dozen 25 Loss 370.00 22 Step 21
80 40 each on two dozens 3 Win 410.00 15 Step 22
81 25 each on two dozens 8 Win 435.00 15 Step 15
82 25 each on two dozens 30 Loss 385.00 16 Step 15
83 40 on first dozen 25 Loss 345.00 17 Step 16
84 60 on first dozen 20 Loss 285.00 18 Step 17
85 90 on first dozen 8 Win 465.00 15 Step 18
86 25 each on two dozens 18 Win 490.00 15 Step 15
87 25 each on two dozens 22 Win 515.00 15 Step 15
88 25 each on two dozens 11 Win 540.00 15 Step 15
89 25 each on two dozens 0 Loss 490.00 16 Step 15
90 40 on first dozen 23 Loss 450.00 17 Step 16
91 60 on first dozen 22 Loss 390.00 18 Step 17
92 90 on first dozen 5 Win 570.00 15 Step 18
93 25 each on two dozens 1 Win 595.00 15 Step 15
94 25 each on two dozens 22 Win 620.00 15 Step 15
95 25 each on two dozens 36 Loss 570.00 16 Step 15
96 40 on first dozen 5 Win 650.00 15 Step 16
97 25 each on two dozens 12 Win 675.00 15 Step 15
98 25 each on two dozens 4 Win 700.00 15 Step 15
99 25 each on two dozens 32 Loss 650.00 16 Step 15
100 40 on first dozen 24 Loss 610.00 17 Step 16
101 60 on first dozen 1 Win 730.00 15 Step 17
102 25 each on two dozens 20 Win 755.00 15 Step 15
103 25 each on two dozens 33 Loss 705.00 16 Step 15
104 40 on first dozen 32 Loss 665.00 17 Step 16
105 60 on first dozen 17 Loss 605.00 18 Step 17
106 90 on first dozen 36 Loss 515.00 19 Step 18
107 130 on first dozen 19 Loss 385.00 20 Step 19
108 190 on first dozen 3 Win 765.00 15 Step 20
109 25 each on two dozens 2 Win 790.00 15 Step 15
110 25 each on two dozens 26 Loss 740.00 16 Step 15
111 40 on first dozen 6 Win 820.00 15 Step 16
112 25 each on two dozens 7 Win 845.00 15 Step 15
113 25 each on two dozens 24 Win 870.00 15 Step 15
114 25 each on two dozens 17 Win 895.00 15 Step 15
115 25 each on two dozens 26 Loss 845.00 16 Step 15
116 40 on first dozen 5 Win 925.00 15 Step 16
117 25 each on two dozens 35 Loss 875.00 16 Step 15
118 40 on first dozen 5 Win 955.00 15 Step 16
119 25 each on two dozens 26 Loss 905.00 16 Step 15
120 40 on first dozen 16 Loss 865.00 17 Step 16
121 60 on first dozen 24 Loss 805.00 18 Step 17
122 90 on first dozen 6 Win 985.00 15 Step 18
123 25 each on two dozens 35 Loss 935.00 16 Step 15
124 40 on first dozen 24 Loss 895.00 17 Step 16
125 60 on first dozen 20 Loss 835.00 18 Step 17
126 90 on first dozen 28 Loss 745.00 19 Step 18
127 130 on first dozen 32 Loss 615.00 20 Step 19
128 190 on first dozen 6 Win 995.00 15 Step 20
129 25 each on two dozens 18 Win 1,020.00 15 Step 15
130 25 each on two dozens 16 Win 1,045.00 15 Step 15
131 25 each on two dozens 23 Win 1,070.00 15 Step 15
132 25 each on two dozens 29 Loss 1,020.00 16 Step 15
133 40 on first dozen 34 Loss 980.00 17 Step 16
134 60 on first dozen 22 Loss 920.00 18 Step 17
135 90 on first dozen 23 Loss 830.00 19 Step 18
136 130 on first dozen 7 Win 1,090.00 15 Step 19
137 25 each on two dozens 31 Loss 1,040.00 16 Step 15
138 40 on first dozen 17 Loss 1,000.00 17 Step 16
139 60 on first dozen 17 Loss 940.00 18 Step 17
140 90 on first dozen 10 Win 1,120.00 15 Step 18
141 25 each on two dozens 7 Win 1,145.00 15 Step 15
142 25 each on two dozens 31 Loss 1,095.00 16 Step 15
143 40 on first dozen 20 Loss 1,055.00 17 Step 16
144 60 on first dozen 9 Win 1,175.00 15 Step 17
145 25 each on two dozens 29 Loss 1,125.00 16 Step 15
146 40 on first dozen 16 Loss 1,085.00 17 Step 16
147 60 on first dozen 33 Loss 1,025.00 18 Step 17
148 90 on first dozen 11 Win 1,205.00 15 Step 18
149 25 each on two dozens 35 Loss 1,155.00 16 Step 15
150 40 on first dozen 10 Win 1,235.00 15 Step 16
151 25 each on two dozens 14 Win 1,260.00 15 Step 15
152 25 each on two dozens 7 Win 1,285.00 15 Step 15
153 25 each on two dozens 20 Win 1,310.00 15 Step 15
154 25 each on two dozens 7 Win 1,335.00 15 Step 15
155 25 each on two dozens 4 Win 1,360.00 15 Step 15
156 25 each on two dozens 20 Win 1,385.00 15 Step 15
157 25 each on two dozens 26 Loss 1,335.00 16 Step 15
158 40 on first dozen 33 Loss 1,295.00 17 Step 16
159 60 on first dozen 35 Loss 1,235.00 18 Step 17
160 90 on first dozen 3 Win 1,415.00 15 Step 18
161 25 each on two dozens 00 Loss 1,365.00 16 Step 15
162 40 on first dozen 25 Loss 1,325.00 17 Step 16
163 60 on first dozen 32 Loss 1,265.00 18 Step 17
164 90 on first dozen 13 Loss 1,175.00 19 Step 18
165 130 on first dozen 21 Loss 1,045.00 20 Step 19
166 190 on first dozen 0 Loss 855.00 21 Step 20
167 250 on first dozen 22 Loss 605.00 22 Step 21
168 40 each on two dozens 1 Win 645.00 15 Step 22
169 25 each on two dozens 0 Loss 595.00 16 Step 15
170 40 on first dozen 0 Loss 555.00 17 Step 16
171 60 on first dozen 34 Loss 495.00 18 Step 17
172 90 on first dozen 32 Loss 405.00 19 Step 18
173 130 on first dozen 36 Loss 275.00 20 Step 19
174 190 on first dozen 6 Win 655.00 15 Step 20
175 25 each on two dozens 29 Loss 605.00 16 Step 15
176 40 on first dozen 6 Win 685.00 15 Step 16
177 25 each on two dozens 00 Loss 635.00 16 Step 15
178 40 on first dozen 30 Loss 595.00 17 Step 16
179 60 on first dozen 17 Loss 535.00 18 Step 17
180 90 on first dozen 19 Loss 445.00 19 Step 18
181 130 on first dozen 28 Loss 315.00 20 Step 19
182 190 on first dozen 00 Loss 125.00 21 Step 20

All the Math and Lilith and Wolfie Arguing About the System (Updated Canon)

American roulette: 38 numbers. Dozens pay 2:1. Sequence win chance per ladder is 96.22%. Sequence-failure (7-loss bust) is 3.78%.

Stage 1 (correct probabilities)

Step 1

Bet: two dozens, $4 each (total $8). Lose if the ball lands in the non-covered dozen or 0/00 → 14 losing numbers.

Probability of losing Step 1:

P(L1) ≈ 36.84%

Win → net +$4, reset. Lose → go to Step 2.

Step 2

Bet: $6 on the first dozen. Lose if the ball is not in that dozen → 26 losing numbers.

Probability of losing Step 2 (given you are here):

P(L2) = 68.42%

Probability of losing Steps 1 and 2 in a row:

P(L1 ∩ L2) = 25.21%

Win → net +$4, reset. Lose → Step 3.

Step 3

Same loss probability as Step 2.

Probability of losing Steps 1–3 in a row:

P(L1 ∩ L2 ∩ L3) = 17.25%

Win → net +$4, reset. Lose → Step 4.

Step 4

Same loss probability again.

Probability of losing Steps 1–4 in a row:

P(L1…L4) = 11.80%

Win → net +$3, reset. Lose → Step 5.

Step 5

Probability of losing Steps 1–5 in a row:

P(L1…L5) = 8.07%

Win → net +$4, reset. Lose → Step 6.

Step 6

Probability of losing Steps 1–6 in a row:

P(L1…L6) = 5.52%

Win → net +$4, reset. Lose → Step 7.

Step 7

Probability of losing Steps 1–7 in a row (full sequence bust):

P(L1…L7) = 3.78%

This is the true sequence-failure probability.

P(sequence wins at least once) = 1 − 0.0378 ≈ 0.9622

So the chance of winning the sequence once is 96.22%.

We stop at Step 7 because going to Step 8 would only reduce the sequence-failure probability from about 3.78% to roughly 2.6% — small gain, big extra risk in bet size.

You are now down a total of $131 across the whole ladder (4+4+6+9+13+20+30+45 = 131). Stage 2 is only designed to recover $100, not the full $131, on purpose. By capping the recovery target at $100, the system only needs 10 successful sequences instead of extending the ladder to 13 sequences, which would chase the full $131.

Mathematically, the chance of winning all 10 recovery sequences is:

P(10 wins) = (0.9622)10 ≈ 0.684 (68.4%)

If you tried to recover the entire $131 and needed 13 sequences:

P(13 wins) = (0.9622)13 ≈ 0.609 (60.9%)

The recovery target stays at $100 so the ladder is not stretched to 13 steps. A 68.4% chance over 10 sequences is better than a 60.9% chance over 13.

Compounding sequences

Compounding sequences means multiplying the probability of success across repeated independent attempts. Since the chance of winning a single sequence is 96.22%, the chance of winning it multiple times is (0.9622)n.

That is why Stage 1 succeeds only about 38% of the time: a high per-sequence win rate drops sharply when compounded many times.

Stage 1: 25 sequences to win $100

Probability all 25 sequences succeed (no 7-loss bust):

P(Stage 1 success) = p25 ≈ 0.962225 ≈ 0.38 (38%)

About a 38% chance to clear Stage 1 cleanly, not 48%.

Stage 2 (10 sequences)

The system has three stages because even though a single sequence wins 96.22% of the time, stacking many sequences makes a failure streak likely. Stage 1 assumes that somewhere inside those 25 attempts you might hit the 3.78% disaster run, so there is a more aggressive recovery layer.

Stage 2 is designed to win back the $100 loss in 10 successful sequences:

(0.9622)10 = 0.6840

Stage 2 has about a 68% chance of recovering the loss and letting the ladder continue. In play: you win about $50–$60 during normal operation, then eventually hit the rare failure streak and drop $100, then Stage 2 steps in with higher aggression and a shorter climb. Stage 1 succeeds about 38% of the time over 25 sequences; Stage 2 succeeds about 68% of the time over 10 sequences.

Stage 2 uses the same ladder structure as Stage 1 — one two-dozen entry followed by six single-dozen climbs — but the goal is recovery, not profit. Per-sequence success is still p ≈ 0.9622:

P(Stage 2 success) = (0.9622)10 ≈ 0.684

The odds of losing both Stage 1 and Stage 2 are based on two independent exposures to the same 7-loss bust pattern:

Independence means you multiply. It does not prevent multiplication.

P(lose both) = P(Stage 1 fails) × P(Stage 2 fails)

P(lose both) = 0.619 × 0.316 ≈ 0.195

About a 19.5% chance of losing both Stage 1 and Stage 2. About an 80.5% chance of recovering and continuing.

Stage 3 (22 sequences)

Stage 3 is the deep-recovery layer — the nuclear option after both Stage 1 and Stage 2 fail. At this point you are down about $550, and Stage 3 uses the same ladder structure, but now you need 22 successful sequences to fully recover and reset.

Per-sequence success rate:

p = 0.9622

Probability all 22 sequences succeed:

P(Stage 3 success) = (0.9622)22 ≈ 0.41

Stage 3 success ≈ 41%. About a 41% chance of recovering the remaining loss and allowing the system to continue even after both earlier stages have failed.

Updated combined probability tree (Stage 3 = 22 sequences)

Stage 1 tries to win outright. If it fails, Stage 2 attempts recovery. If that fails, Stage 3 is the final recovery attempt.

Overall survival probability. The system survives (recovers and continues) if any stage succeeds:

P(overall success) = S1 + F1 · S2 + F1 · F2 · S3

= 0.381 + (0.619 · 0.684) + (0.619 · 0.316 · 0.41)

= 0.381 + 0.423 + 0.080 ≈ 0.884

Updated overall survival ≈ 88.4%.

Total collapse only happens if all three stages fail:

P(total collapse) = F1 · F2 · F3 = 0.619 · 0.316 · 0.59 ≈ 0.115

Updated collapse rate ≈ 11.5%.

Given the corrected math, the full three-stage ladder should survive about 88.4% of the time. That is the theoretical probability when Stage 1, Stage 2, and the corrected 22-sequence Stage 3 are treated as one recovery tree. In large-scale simulations — 10,000 full attempts — the real results fall between 78% on the low end and 91% on the high end. That spread is normal: the theoretical survival rate is ~88%, but variance over thousands of trials will always produce fluctuations, especially because each collapse is rare but extremely impactful. The math describes the long-run expectation; the simulator shows the real-world distribution, which consistently lands between 78% and 91%, exactly what you would expect from a system with a theoretical success rate in the high 80s and occasional deep failures that pull the average down.