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STAGE 2 STRESS TEST · MARTINGALE VS FLAT BETTING

Martingale Doubling vs. Flat 1-Unit Baseline — Ping-Pong Chop Shoe under No-Commission Banker 6 Half-Pay (70-Hand Stress Test)

Combinatorial stress ledger S104-0 profiles Martingale Doubling versus Flat 1-Unit Baseline across 70 coups (65u bankroll, 50u max bet), demonstrating that 1.4579% house edge and 2-hand runs enforce 23.04% vs 5.93% ruin along the table-capped cycle-span. 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
23.04%
Flat Betting Ruin Rate
5.93%
Peak Trough (2-Run)
-24u
No-Comm Chop 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 B P B P B P B B P P B
Big Eye Boy = = = = ≠ = = = = ≠ ≠ = ≠ ≠
Small Road = = ≠ ≠ = = = ≠ ≠ ≠ = ≠
Cockroach Pig ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠

Reference 8-deck shoe for Stress Cell S104 (Martingale vs Flat Betting, Ping-Pong Chop Shoe under No-Commission Banker 6 Half-Pay). 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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 1, 2 columns further back.
  2. Column 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

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 (No-Comm Chop)

Stress cell S104 compares 1-2-4-8-16-32-64 against 1-1-1-1 constant unit over 70 hands.

Head-to-Head Ruin Rate
23.04% vs 5.93%

Probability of exhausting the 65-unit bankroll under a 50-unit house bet limit.

Expected Session Hold
4.56u vs 1.06u

Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 70 coups.

Peak Drawdown Excursion
-24u vs -12u

Deepest unit trough triggered by a 2-hand run inside the chop shoe profile.

Tie Stalls & Commission Toll
7 Ties · 2.83u Drag

Reflects 9.55% tie frequency (7 pushes) and 2.83u in vigorish friction.

STRESS CELL S104 · CHOP SHOE PROFILE

Martingale vs. Flat Betting non-stationary ledger (70 Hands · S104)

Head-to-head matrix S104-1 subjects Martingale (1-2-4-8-16-32-64) and Flat Betting (1-1-1-1 constant unit) to 70 hands of No-Comm Chop (chop) with 65 units and a 50-unit roof, verifies 4.56u versus 1.06u in mathematical house hold and 23.04% versus 5.93% ruin.

Combinatorial stress ledger S104-2 benchmarks Martingale Doubling versus Flat 1-Unit Baseline across 70 coups (65u bankroll, 50u max bet), demonstrating that 1.4579% house edge and 2-hand runs enforce 23.04% vs 5.93% ruin along the non-stationary capital-runway.

S104 ledgerMartingaleFlat Betting
Martingale / Flat Betting Rule1-2-4-8-16-32-641-1-1-1 constant unit
70-Hand Ruin (65u)23.04%5.93%
No-Comm Chop Hold (1.4579%)4.56u1.06u
2-Run Trough (50u Cap)-24u-12u
VIGORISH & TABLE CEILING INTERACTION

No-Comm Chop Vigorish (2.83u) & 9.55% Tie Push Audit (S104)

Head-to-head matrix S104-3 subjects Martingale (1-2-4-8-16-32-64) and Flat Betting (1-1-1-1 constant unit) to 70 hands of No-Comm Chop (chop) with 65 units and a 50-unit roof, tracks 4.56u versus 1.06u in mathematical house hold and 23.04% versus 5.93% ruin.

Combinatorial stress ledger S104-4 calibrates Martingale Doubling versus Flat 1-Unit Baseline across 70 coups (65u bankroll, 50u max bet), demonstrating that 1.4579% house edge and 2-hand runs enforce 23.04% vs 5.93% ruin along the combinatorial absorption-curve.

  • Trial S104: set a 65u stop before running Martingale vs Flat Betting over 70 hands.
  • Scenario S104 quantifies 2.83u in commission drag and 7 tie pushes (9.55% Tie rate).
  • Board rule S104: derived road red marks non-stationary column repetition and blue marks a structural break (ledger), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Flat Betting to Martingale during Ping-Pong Chop Shoe under No-Commission Banker 6 Half-Pay neutralizes the 1.4579% house edge.
TruthOver 70 hands on a 65-unit stack, Martingale carries 4.56u expected loss (23.04% ruin) vs 1.06u (5.93% ruin) for Flat Betting.
MythDuring a 2-hand chop 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