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STAGE 2 BANKROLL MATRIX · LABOUCHERE · 500U / 2-SHOE

Labouchere Split-Line — 500-Unit Bankroll & 2-Shoe (144-Hand) Risk-of-Ruin Matrix

When a 500-unit stack enters a 2-shoe (144-hand) session using Labouchere Split-Line, house-edge-anchored model M349-0 inspects 501u in cumulative action and a 5.64% barrier-absorption probability before the 50-unit table maximum truncates the eight-deck turnover. 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 (-250u Stop)
5.64%
Target Hit (+125u Cap)
45.32%
144-Hand Expected Hold
7.05u
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 B B P P B B P P B P B
Big Eye Boy = = ≠ = ≠ ≠ = = = = = = ≠ =
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = = = = ≠ ≠
Cockroach Pig ≠ = = ≠ ≠ ≠ ≠ = = ≠ ≠

Reference 8-deck shoe for Matrix Cell M349 (Labouchere Split-Line, 500u 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

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

Session Bankroll & Horizon
500u / 2 Shoes (144 Hands)

Matrix cell M349 tests Labouchere Split-Line with a $25 base unit and -250u/+125u absorbing boundaries.

Stop-Loss Ruin Probability
5.64%

Probability of hitting the -250u drawdown barrier before completing 144 hands or reaching +125u.

Stop-Win Target Completion
45.32%

Share of 144-hand trajectories reaching the +125u session ceiling, with 49.04% ending between barriers.

Table Limit Survival Depth
6 Steps (50u Cap)

A 50-unit house limit and 500-unit stack cap Labouchere escalation after 6 adverse coups.

Expected Session House Hold
7.05u ($176)

Derived from 501u total action (3.48x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M349 · STOP-LOSS & STOP-WIN GEOMETRY

Labouchere 500u table-capped stake-velocity Across 144 Hands (M349)

Testing Labouchere ([1-2-3-2-1] outside sum) at 500 units across 144 coups in cell M349-1 verifies a 5.64% chance of striking the -250-unit stop-loss, while the 50-unit pit ceiling and 1.058% Banker edge impose 7.05u ($176) in expected erosion.

When a 500-unit stack enters a 2-shoe (144-hand) session using Labouchere Split-Line, sequential model M349-2 tabulates 501u in cumulative action and a 5.64% barrier-absorption probability before the 50-unit table maximum truncates the finite-shoe progression-curve.

M349 ParameterLabouchere (500u)2-Shoe stake-velocity
Labouchere Ladder[1-2-3-2-1] outside sum (9 steps)Peak 18u multiplier on M349
500u Stack Window144 hands (2 shoes)Barriers -250u / +125u
50u Ceiling & Ruin5.64% ruin vs 45.32% winDepth 6 steps (4 cap hits)
501u Handle & Hold7.05u ($176)Multiplier 3.48x (table-capped drift)
STEP ESCALATION & TURNOVER AUDIT

50u Ceiling Collisions & Labouchere Turnover (2 Shoes)

Testing Labouchere ([1-2-3-2-1] outside sum) at 500 units across 144 coups in cell M349-3 quantifies a 5.64% chance of striking the -250-unit stop-loss, while the 50-unit pit ceiling and 1.058% Banker edge impose 7.05u ($176) in expected erosion.

When a 500-unit stack enters a 2-shoe (144-hand) session using Labouchere Split-Line, multi-coup model M349-4 charts 501u in cumulative action and a 5.64% barrier-absorption probability before the 50-unit table maximum truncates the stochastic drawdown-slope.

  • Cell M349 rule: lock the -250u stop on your 500u Labouchere stack across 144 hands.
  • Matrix M349 verifies 7.05u ($176) in house hold over 501u of Labouchere action.
  • Scoreboard check M349: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (table-capped stake-velocity) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 500 units to a 2-shoe session lets Labouchere Split-Line overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 144 hands, Labouchere generates 501u in action, 7.05u in expected loss, and a 5.64% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell Labouchere 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