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STAGE 2 STRESS TEST · MARTINGALE VS FLAT BETTING

Martingale Doubling vs. Flat 1-Unit Baseline — Four-Shoe 12-Run Volatility under No-Commission Banker 6 (288-Hand Stress Test)

During 288 deals of 4-Shoe Streak (streak) in audit S114-0, Martingale Doubling (1-2-4-8-16-32-64) and Flat 1-Unit Baseline (1-1-1-1 constant unit) navigate 26 tie pushes on a 180-unit roll with a 100-unit cap, calibrates 54.16% vs 9.17% ruin and 11.64u in commission drag. Because every 8-deck coup is statistically independent under No-Commission Banker 6 (0.50:1 on 6) (1.4579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.

Martingale Ruin Rate
54.16%
Flat Betting Ruin Rate
9.17%
Peak Trough (12-Run)
-74u
4-Shoe Streak House Edge
1.4579%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B P B P B B P P B B P B
Big Eye Boy = = ≠ = = = ≠ ≠ = = ≠ = = =
Small Road ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = =
Cockroach Pig ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =

Reference 8-deck shoe for Stress Cell S114 (Martingale vs Flat Betting, Four-Shoe 12-Run Volatility under No-Commission Banker 6). Big Road shows Banker (red) and Player (blue); derived roads track symmetry.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Mark #2

Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #2

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #2

Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

Matchup & Shoe Profile
Martingale vs Flat Betting (4-Shoe Streak)

Stress cell S114 compares 1-2-4-8-16-32-64 against 1-1-1-1 constant unit over 288 hands.

Head-to-Head Ruin Rate
54.16% vs 9.17%

Probability of exhausting the 180-unit bankroll under a 100-unit house bet limit.

Expected Session Hold
18.78u vs 4.37u

Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 288 coups.

Peak Drawdown Excursion
-74u vs -24u

Deepest unit trough triggered by a 12-hand run inside the streak shoe profile.

Tie Stalls & Commission Toll
26 Ties · 11.64u Drag

Reflects 9.03% tie frequency (26 pushes) and 11.64u in vigorish friction.

STRESS CELL S114 · STREAK SHOE PROFILE

Martingale vs. Flat Betting finite-shoe threshold (288 Hands · S114)

Matchup S114-1 tabulates how a 180-unit roll and 100-unit pit maximum govern Martingale versus Flat Betting during 288 hands of 4-Shoe Streak: house-edge-anchored envelope divergence pushes primary ruin to 54.16% against 9.17% for the benchmark while evaluates 11.64u in commission friction.

During 288 deals of 4-Shoe Streak (streak) in audit S114-2, Martingale Doubling (1-2-4-8-16-32-64) and Flat 1-Unit Baseline (1-1-1-1 constant unit) navigate 26 tie pushes on a 180-unit roll with a 100-unit cap, models 54.16% vs 9.17% ruin and 11.64u in commission drag.

S114 thresholdMartingaleFlat Betting
Martingale / Flat Betting Rule1-2-4-8-16-32-641-1-1-1 constant unit
288-Hand Ruin (180u)54.16%9.17%
4-Shoe Streak Hold (1.4579%)18.78u4.37u
12-Run Trough (100u Cap)-74u-24u
VIGORISH & TABLE CEILING INTERACTION

4-Shoe Streak Vigorish (11.64u) & 9.03% Tie Push Audit (S114)

Matchup S114-3 measures how a 180-unit roll and 100-unit pit maximum govern Martingale versus Flat Betting during 288 hands of 4-Shoe Streak: table-capped trajectory divergence pushes primary ruin to 54.16% against 9.17% for the benchmark while tracks 11.64u in commission friction.

During 288 deals of 4-Shoe Streak (streak) in audit S114-4, Martingale Doubling (1-2-4-8-16-32-64) and Flat 1-Unit Baseline (1-1-1-1 constant unit) navigate 26 tie pushes on a 180-unit roll with a 100-unit cap, dissects 54.16% vs 9.17% ruin and 11.64u in commission drag.

  • Trial S114: set a 180u stop before running Martingale vs Flat Betting over 288 hands.
  • Scenario S114 inspects 11.64u in commission drag and 26 tie pushes (9.03% Tie rate).
  • Board rule S114: derived road red marks finite-shoe column repetition and blue marks a structural break (threshold), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Flat Betting to Martingale during Four-Shoe 12-Run Volatility under No-Commission Banker 6 neutralizes the 1.4579% house edge.
TruthOver 288 hands on a 180-unit stack, Martingale carries 18.78u expected loss (54.16% ruin) vs 4.37u (9.17% ruin) for Flat Betting.
MythDuring a 12-hand streak sequence, red marks on Big Eye Boy or Small Road indicate Banker is favored next.
TruthDerived road colors never represent Banker or Player: red denotes repeatingBig Road structure and blue denotes breaking structure.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android