Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math & Odds Hub
  3. Grand Martingale vs 1-3-2-6 (EZ Dragon Chop)
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 Doublet Chop under EZ Baccarat Dragon 7 Push (144-Hand Stress Test)

Stress test S331-0 evaluates Grand Martingale (2x+1) (1-3-7-15-31-63-127) against 1-3-2-6 Four-Stage Sequence (1-3-2-6) inside a 100-unit bankroll over 144 hands (EZ Dragon Chop, chop), where a 75-unit table ceiling produces 37.69% vs 11.76% ruin rates and verifies 4.60u in step-indexed vigorish drag. Because every 8-deck coup is statistically independent under EZ Baccarat 3-Card 7 Push (1.028% edge) (1.0284% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.

Grand Martingale Ruin Rate
37.69%
1-3-2-6 Ruin Rate
11.76%
Peak Trough (3-Run)
-32u
EZ Dragon Chop House Edge
1.0284%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Stress Cell S331 (Grand Martingale vs 1-3-2-6, Two-Shoe Doublet Chop under EZ Baccarat Dragon 7 Push). 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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Matchup & Shoe Profile
Grand Martingale vs 1-3-2-6 (EZ Dragon Chop)

Stress cell S331 compares 1-3-7-15-31-63-127 against 1-3-2-6 over 144 hands.

Head-to-Head Ruin Rate
37.69% vs 11.76%

Probability of exhausting the 100-unit bankroll under a 75-unit house bet limit.

Expected Session Hold
9.58u vs 2.28u

Theoretical erosion under EZ Baccarat 3-Card 7 Push (1.028% edge) (1.0284% house edge) across 144 coups.

Peak Drawdown Excursion
-32u vs -12u

Deepest unit trough triggered by a 3-hand run inside the chop shoe profile.

Tie Stalls & Commission Toll
14 Ties · 4.60u Drag

Reflects 9.72% tie frequency (14 pushes) and 4.60u in vigorish friction.

STRESS CELL S331 · CHOP SHOE PROFILE

Grand Martingale vs. 1-3-2-6 sequential cadence (144 Hands · S331)

Evaluating Grand Martingale vs 1-3-2-6 in scenario S331-1 (144 hands, 100u stack, 75u table limit) charts how 14 tie stalls (9.72%) and a 3-coup run shape non-stationary cadence, yielding 37.69% vs 11.76% ruin.

Stress test S331-2 inspects Grand Martingale (2x+1) (1-3-7-15-31-63-127) against 1-3-2-6 Four-Stage Sequence (1-3-2-6) inside a 100-unit bankroll over 144 hands (EZ Dragon Chop, chop), where a 75-unit table ceiling produces 37.69% vs 11.76% ruin rates and quantifies 4.60u in variance-scaled vigorish drag.

S331 cadenceGrand Martingale1-3-2-6
Grand Martingale / 1-3-2-6 Rule1-3-7-15-31-63-1271-3-2-6
144-Hand Ruin (100u)37.69%11.76%
EZ Dragon Chop Hold (1.0284%)9.58u2.28u
3-Run Trough (75u Cap)-32u-12u
VIGORISH & TABLE CEILING INTERACTION

EZ Dragon Chop Vigorish (4.60u) & 9.72% Tie Push Audit (S331)

Evaluating Grand Martingale vs 1-3-2-6 in scenario S331-3 (144 hands, 100u stack, 75u table limit) documents how 14 tie stalls (9.72%) and a 3-coup run shape combinatorial escalation, yielding 37.69% vs 11.76% ruin.

Stress test S331-4 audits Grand Martingale (2x+1) (1-3-7-15-31-63-127) against 1-3-2-6 Four-Stage Sequence (1-3-2-6) inside a 100-unit bankroll over 144 hands (EZ Dragon Chop, chop), where a 75-unit table ceiling produces 37.69% vs 11.76% ruin rates and profiles 4.60u in session-bounded vigorish drag.

  • Trial S331: set a 100u stop before running Grand Martingale vs 1-3-2-6 over 144 hands.
  • Scenario S331 measures 4.60u in commission drag and 14 tie pushes (9.72% Tie rate).
  • Board rule S331: derived road red marks sequential column repetition and blue marks a structural break (cadence), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from 1-3-2-6 to Grand Martingale during Two-Shoe Doublet Chop under EZ Baccarat Dragon 7 Push neutralizes the 1.0284% house edge.
TruthOver 144 hands on a 100-unit stack, Grand Martingale carries 9.58u expected loss (37.69% ruin) vs 2.28u (11.76% ruin) for 1-3-2-6.
MythDuring a 3-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