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STAGE 2 STRESS TEST · GRAND MARTINGALE VS 1-3-2-6

Grand Martingale (2x+1) vs. 1-3-2-6 Four-Stage Sequence — Two-Shoe Strict Alternation on Even-Money Player Wagers (140-Hand Stress Test)

Combinatorial stress ledger S334-0 tracks Grand Martingale (2x+1) versus 1-3-2-6 Four-Stage Sequence across 140 coups (95u bankroll, 70u max bet), demonstrating that 1.2351% house edge and 2-hand runs enforce 39.41% vs 11.08% ruin along the non-stationary progression-curve. Because every 8-deck coup is statistically independent under Even-Money Player Side (1.235% edge) (1.2351% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.

Grand Martingale Ruin Rate
39.41%
1-3-2-6 Ruin Rate
11.08%
Peak Trough (2-Run)
-29u
Player 1:1 Chop House Edge
1.2351%
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 P B B P B B P B P
Big Eye Boy = = = = = = ≠ = = = ≠ ≠ ≠ =
Small Road = = = = ≠ ≠ = = ≠ ≠ = ≠
Cockroach Pig = = ≠ ≠ ≠ = ≠ ≠ = =

Reference 8-deck shoe for Stress Cell S334 (Grand Martingale vs 1-3-2-6, Two-Shoe Strict Alternation on Even-Money Player Wagers). 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 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

Matchup & Shoe Profile
Grand Martingale vs 1-3-2-6 (Player 1:1 Chop)

Stress cell S334 compares 1-3-7-15-31-63-127 against 1-3-2-6 over 140 hands.

Head-to-Head Ruin Rate
39.41% vs 11.08%

Probability of exhausting the 95-unit bankroll under a 70-unit house bet limit.

Expected Session Hold
11.18u vs 2.66u

Theoretical erosion under Even-Money Player Side (1.235% edge) (1.2351% house edge) across 140 coups.

Peak Drawdown Excursion
-29u vs -13u

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

Tie Stalls & Commission Toll
13 Ties · 5.37u Drag

Reflects 9.29% tie frequency (13 pushes) and 5.37u in vigorish friction.

STRESS CELL S334 · CHOP SHOE PROFILE

Grand Martingale vs. 1-3-2-6 session-bounded survival-window (140 Hands · S334)

Head-to-head matrix S334-1 subjects Grand Martingale (1-3-7-15-31-63-127) and 1-3-2-6 (1-3-2-6) to 140 hands of Player 1:1 Chop (chop) with 95 units and a 70-unit roof, calibrates 11.18u versus 2.66u in mathematical house hold and 39.41% versus 11.08% ruin.

Combinatorial stress ledger S334-2 tabulates Grand Martingale (2x+1) versus 1-3-2-6 Four-Stage Sequence across 140 coups (95u bankroll, 70u max bet), demonstrating that 1.2351% house edge and 2-hand runs enforce 39.41% vs 11.08% ruin along the combinatorial ledger.

S334 survival-windowGrand Martingale1-3-2-6
Grand Martingale / 1-3-2-6 Rule1-3-7-15-31-63-1271-3-2-6
140-Hand Ruin (95u)39.41%11.08%
Player 1:1 Chop Hold (1.2351%)11.18u2.66u
2-Run Trough (70u Cap)-29u-13u
VIGORISH & TABLE CEILING INTERACTION

Player 1:1 Chop Vigorish (5.37u) & 9.29% Tie Push Audit (S334)

Head-to-head matrix S334-3 subjects Grand Martingale (1-3-7-15-31-63-127) and 1-3-2-6 (1-3-2-6) to 140 hands of Player 1:1 Chop (chop) with 95 units and a 70-unit roof, models 11.18u versus 2.66u in mathematical house hold and 39.41% versus 11.08% ruin.

Combinatorial stress ledger S334-4 measures Grand Martingale (2x+1) versus 1-3-2-6 Four-Stage Sequence across 140 coups (95u bankroll, 70u max bet), demonstrating that 1.2351% house edge and 2-hand runs enforce 39.41% vs 11.08% ruin along the asymmetric excursion.

  • Trial S334: set a 95u stop before running Grand Martingale vs 1-3-2-6 over 140 hands.
  • Scenario S334 profiles 5.37u in commission drag and 13 tie pushes (9.29% Tie rate).
  • Board rule S334: derived road red marks session-bounded column repetition and blue marks a structural break (survival-window), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from 1-3-2-6 to Grand Martingale during Two-Shoe Strict Alternation on Even-Money Player Wagers neutralizes the 1.2351% house edge.
TruthOver 140 hands on a 95-unit stack, Grand Martingale carries 11.18u expected loss (39.41% ruin) vs 2.66u (11.08% ruin) for 1-3-2-6.
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