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STAGE 2 BANKROLL MATRIX · LABOUCHERE · 50U / 5-SHOE

Labouchere Split-Line — 50-Unit Bankroll & 5-Shoe (360-Hand) Risk-of-Ruin Matrix

When a 50-unit stack enters a 5-shoe (360-hand) session using Labouchere Split-Line, eight-deck model M335-0 evaluates 652u in cumulative action and a 94.80% barrier-absorption probability before the 80-unit table maximum truncates the bankroll-constrained dispersion. 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 (-25u Stop)
94.80%
Target Hit (+13u Cap)
20.16%
360-Hand Expected Hold
9.17u
Table Max (6-Step Depth)
80u
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 M335 (Labouchere Split-Line, 50u bankroll, 360 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
50u / 5 Shoes (360 Hands)

Matrix cell M335 tests Labouchere Split-Line with a $50 base unit and -25u/+13u absorbing boundaries.

Stop-Loss Ruin Probability
94.80%

Probability of hitting the -25u drawdown barrier before completing 360 hands or reaching +13u.

Stop-Win Target Completion
20.16%

Share of 360-hand trajectories reaching the +13u session ceiling, with 0.50% ending between barriers.

Table Limit Survival Depth
6 Steps (80u Cap)

A 80-unit house limit and 50-unit stack cap Labouchere escalation after 6 adverse coups.

Expected Session House Hold
9.17u ($459)

Derived from 652u total action (1.81x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M335 · STOP-LOSS & STOP-WIN GEOMETRY

Labouchere 50u session-bounded dispersion Across 360 Hands (M335)

Testing Labouchere ([1-2-3-2-1] outside sum) at 50 units across 360 coups in cell M335-1 audits a 94.80% chance of striking the -25-unit stop-loss, while the 80-unit pit ceiling and 1.058% Banker edge impose 9.17u ($459) in expected erosion.

When a 50-unit stack enters a 5-shoe (360-hand) session using Labouchere Split-Line, bankroll-constrained model M335-2 tracks 652u in cumulative action and a 94.80% barrier-absorption probability before the 80-unit table maximum truncates the variance-scaled exposure.

M335 ParameterLabouchere (50u)5-Shoe dispersion
Labouchere Ladder[1-2-3-2-1] outside sum (9 steps)Peak 18u multiplier on M335
50u Stack Window360 hands (5 shoes)Barriers -25u / +13u
80u Ceiling & Ruin94.80% ruin vs 20.16% winDepth 6 steps (6 cap hits)
652u Handle & Hold9.17u ($459)Multiplier 1.81x (session-bounded drift)
STEP ESCALATION & TURNOVER AUDIT

80u Ceiling Collisions & Labouchere Turnover (5 Shoes)

Testing Labouchere ([1-2-3-2-1] outside sum) at 50 units across 360 coups in cell M335-3 measures a 94.80% chance of striking the -25-unit stop-loss, while the 80-unit pit ceiling and 1.058% Banker edge impose 9.17u ($459) in expected erosion.

When a 50-unit stack enters a 5-shoe (360-hand) session using Labouchere Split-Line, discrete-time model M335-4 maps 652u in cumulative action and a 94.80% barrier-absorption probability before the 80-unit table maximum truncates the drawdown-weighted footprint.

  • Cell M335 rule: lock the -25u stop on your 50u Labouchere stack across 360 hands.
  • Matrix M335 benchmarks 9.17u ($459) in house hold over 652u of Labouchere action.
  • Scoreboard check M335: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (session-bounded dispersion) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 50 units to a 5-shoe session lets Labouchere Split-Line overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 360 hands, Labouchere generates 652u in action, 9.17u in expected loss, and a 94.80% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell Labouchere bettors whether Banker (red) or Player (blue) is due during a 360-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