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STAGE 2 BANKROLL MATRIX · MARTINGALE · 200U / 2-SHOE

Martingale Doubling — 200-Unit Bankroll & 2-Shoe (144-Hand) Risk-of-Ruin Matrix

Across 144 eight-deck hands (2 shoes), table-capped simulation M119-0 for Martingale Doubling on a 200-unit bankroll profiles a 16.46% risk-of-ruin figure, quantifies 13 ceiling-collision events against the 50-unit cap and a 41.25% mid-corridor finish rate. Every 8-deck hand remains statistically independent (45.86% Banker, 44.62% Player, 9.52% Tie), meaning progression sizing reshapes session variance without altering the house edge.

Ruin Rate (-100u Stop)
16.46%
Target Hit (+50u Cap)
42.29%
144-Hand Expected Hold
10.53u
Table Max (6-Step Depth)
50u
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 Matrix Cell M119 (Martingale Doubling, 200u bankroll, 144 hands). Big Road and Bead Plate show Banker (red) and Player (blue); derived roads record structural 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

Session Bankroll & Horizon
200u / 2 Shoes (144 Hands)

Matrix cell M119 tests Martingale Doubling with a $25 base unit and -100u/+50u absorbing boundaries.

Stop-Loss Ruin Probability
16.46%

Probability of hitting the -100u drawdown barrier before completing 144 hands or reaching +50u.

Stop-Win Target Completion
42.29%

Share of 144-hand trajectories reaching the +50u session ceiling, with 41.25% ending between barriers.

Table Limit Survival Depth
6 Steps (50u Cap)

A 50-unit house limit and 200-unit stack cap Martingale escalation after 6 adverse coups.

Expected Session House Hold
10.53u ($263)

Derived from 701u total action (4.87x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M119 · STOP-LOSS & STOP-WIN GEOMETRY

Martingale 200u house-edge-anchored stake-velocity Across 144 Hands (M119)

Cell M119-1 calibrates the house-edge-anchored escalation of a 200-unit Martingale plan over 144 hands: because each hand remains independent at 1.058% Banker edge, scaling stakes toward the 50-unit ceiling elevates total turnover to 701u and sets ruin at 16.46%.

Across 144 eight-deck hands (2 shoes), stochastic simulation M119-2 for Martingale Doubling on a 200-unit bankroll dissects a 16.46% risk-of-ruin figure, maps 13 ceiling-collision events against the 50-unit cap and a 41.25% mid-corridor finish rate.

M119 ParameterMartingale (200u)2-Shoe stake-velocity
Martingale Ladder1-2-4-8-16-32-64 (7 steps)Peak 64u multiplier on M119
200u Stack Window144 hands (2 shoes)Barriers -100u / +50u
50u Ceiling & Ruin16.46% ruin vs 42.29% winDepth 6 steps (13 cap hits)
701u Handle & Hold10.53u ($263)Multiplier 4.87x (house-edge-anchored drift)
STEP ESCALATION & TURNOVER AUDIT

50u Ceiling Collisions & Martingale Turnover (2 Shoes)

Cell M119-3 evaluates the sequential exposure of a 200-unit Martingale plan over 144 hands: because each hand remains independent at 1.058% Banker edge, scaling stakes toward the 50-unit ceiling elevates total turnover to 701u and sets ruin at 16.46%.

Across 144 eight-deck hands (2 shoes), drawdown-weighted simulation M119-4 for Martingale Doubling on a 200-unit bankroll audits a 16.46% risk-of-ruin figure, charts 13 ceiling-collision events against the 50-unit cap and a 41.25% mid-corridor finish rate.

  • Cell M119 rule: lock the -100u stop on your 200u Martingale stack across 144 hands.
  • Matrix M119 documents 10.53u ($263) in house hold over 701u of Martingale action.
  • Scoreboard check M119: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (house-edge-anchored stake-velocity) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 200 units to a 2-shoe session lets Martingale Doubling overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 144 hands, Martingale generates 701u in action, 10.53u in expected loss, and a 16.46% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell Martingale bettors whether Banker (red) or Player (blue) is due during a 144-hand run.
TruthOn Big Eye Boy, Small Road, and Cockroach Pig, red indicates repeating column structure and blue indicates breaking structure; neither color represents Banker or Player.
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