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STAGE 2 STRESS TEST · GRAND MARTINGALE VS FLAT BETTING

Grand Martingale (2x+1) vs. Flat 1-Unit Baseline — Ping-Pong Chop Shoe under No-Commission Banker 6 Half-Pay (70-Hand Stress Test)

Evaluating Grand Martingale vs Flat Betting in scenario S118-0 (70 hands, 65u stack, 50u table limit) charts how 7 tie stalls (9.55%) and a 2-coup run shape table-capped progression-curve, yielding 29.42% vs 5.93% ruin. 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.

Grand Martingale Ruin Rate
29.42%
Flat Betting Ruin Rate
5.93%
Peak Trough (2-Run)
-29u
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 S118 (Grand 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
Grand Martingale vs Flat Betting (No-Comm Chop)

Stress cell S118 compares 1-3-7-15-31-63-127 against 1-1-1-1 constant unit over 70 hands.

Head-to-Head Ruin Rate
29.42% vs 5.93%

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

Expected Session Hold
6.60u 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
-29u vs -11u

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

Tie Stalls & Commission Toll
7 Ties · 4.09u Drag

Reflects 9.55% tie frequency (7 pushes) and 4.09u in vigorish friction.

STRESS CELL S118 · CHOP SHOE PROFILE

Grand Martingale vs. Flat Betting non-stationary survival-window (70 Hands · S118)

Stress test S118-1 inspects Grand Martingale (2x+1) (1-3-7-15-31-63-127) against Flat 1-Unit Baseline (1-1-1-1 constant unit) inside a 65-unit bankroll over 70 hands (No-Comm Chop, chop), where a 50-unit table ceiling produces 29.42% vs 5.93% ruin rates and benchmarks 4.09u in step-indexed vigorish drag.

Evaluating Grand Martingale vs Flat Betting in scenario S118-2 (70 hands, 65u stack, 50u table limit) documents how 7 tie stalls (9.55%) and a 2-coup run shape non-stationary ledger, yielding 29.42% vs 5.93% ruin.

S118 survival-windowGrand MartingaleFlat Betting
Grand Martingale / Flat Betting Rule1-3-7-15-31-63-1271-1-1-1 constant unit
70-Hand Ruin (65u)29.42%5.93%
No-Comm Chop Hold (1.4579%)6.60u1.06u
2-Run Trough (50u Cap)-29u-11u
VIGORISH & TABLE CEILING INTERACTION

No-Comm Chop Vigorish (4.09u) & 9.55% Tie Push Audit (S118)

Stress test S118-3 audits Grand Martingale (2x+1) (1-3-7-15-31-63-127) against Flat 1-Unit Baseline (1-1-1-1 constant unit) inside a 65-unit bankroll over 70 hands (No-Comm Chop, chop), where a 50-unit table ceiling produces 29.42% vs 5.93% ruin rates and computes 4.09u in variance-scaled vigorish drag.

Evaluating Grand Martingale vs Flat Betting in scenario S118-4 (70 hands, 65u stack, 50u table limit) profiles how 7 tie stalls (9.55%) and a 2-coup run shape combinatorial excursion, yielding 29.42% vs 5.93% ruin.

  • Trial S118: set a 65u stop before running Grand Martingale vs Flat Betting over 70 hands.
  • Scenario S118 calibrates 4.09u in commission drag and 7 tie pushes (9.55% Tie rate).
  • Board rule S118: derived road red marks non-stationary column repetition and blue marks a structural break (survival-window), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Flat Betting to Grand 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, Grand Martingale carries 6.60u expected loss (29.42% 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
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