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STAGE 2 BANKROLL MATRIX · LABOUCHERE · 20U / 3-SHOE

Labouchere Split-Line — 20-Unit Bankroll & 3-Shoe (216-Hand) Risk-of-Ruin Matrix

Sequential profile M327-0 models Labouchere Split-Line over a 3-shoe (216-hand) horizon with 20 units: session-bounded escalation ([1-2-3-2-1] outside sum, 9 steps) interacts with the 60-unit limit to audits a 94.80% ruin rate and a multi-coup decay-rate of 1.32x. 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 (-10u Stop)
94.80%
Target Hit (+6u Cap)
16.68%
216-Hand Expected Hold
4.01u
Table Max (5-Step Depth)
60u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Matrix Cell M327 (Labouchere Split-Line, 20u bankroll, 216 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

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Small Road Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

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

Session Bankroll & Horizon
20u / 3 Shoes (216 Hands)

Matrix cell M327 tests Labouchere Split-Line with a $50 base unit and -10u/+6u absorbing boundaries.

Stop-Loss Ruin Probability
94.80%

Probability of hitting the -10u drawdown barrier before completing 216 hands or reaching +6u.

Stop-Win Target Completion
16.68%

Share of 216-hand trajectories reaching the +6u session ceiling, with 0.50% ending between barriers.

Table Limit Survival Depth
5 Steps (60u Cap)

A 60-unit house limit and 20-unit stack cap Labouchere escalation after 5 adverse coups.

Expected Session House Hold
4.01u ($201)

Derived from 285u total action (1.32x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M327 · STOP-LOSS & STOP-WIN GEOMETRY

Labouchere 20u absorbing-barrier escalation Across 216 Hands (M327)

Under configuration M327-1, deploying Labouchere with 20 base units over 216 resolved hands (3 shoes) computes a variance-scaled boundary: hitting the 60-unit house cap after 5 adverse steps drives a 94.80% stop-loss breach rate against a 16.68% chance of reaching the +6-unit target.

Sequential profile M327-2 inspects Labouchere Split-Line over a 3-shoe (216-hand) horizon with 20 units: step-indexed escalation ([1-2-3-2-1] outside sum, 9 steps) interacts with the 60-unit limit to verifies a 94.80% ruin rate and a house-edge-anchored ledger of 1.32x.

M327 ParameterLabouchere (20u)3-Shoe escalation
Labouchere Ladder[1-2-3-2-1] outside sum (9 steps)Peak 18u multiplier on M327
20u Stack Window216 hands (3 shoes)Barriers -10u / +6u
60u Ceiling & Ruin94.80% ruin vs 16.68% winDepth 5 steps (5 cap hits)
285u Handle & Hold4.01u ($201)Multiplier 1.32x (absorbing-barrier drift)
STEP ESCALATION & TURNOVER AUDIT

60u Ceiling Collisions & Labouchere Turnover (3 Shoes)

Under configuration M327-3, deploying Labouchere with 20 base units over 216 resolved hands (3 shoes) verifies a eight-deck dispersion: hitting the 60-unit house cap after 5 adverse steps drives a 94.80% stop-loss breach rate against a 16.68% chance of reaching the +6-unit target.

Sequential profile M327-4 tabulates Labouchere Split-Line over a 3-shoe (216-hand) horizon with 20 units: absorbing-barrier escalation ([1-2-3-2-1] outside sum, 9 steps) interacts with the 60-unit limit to tracks a 94.80% ruin rate and a asymmetric volatility-band of 1.32x.

  • Cell M327 rule: lock the -10u stop on your 20u Labouchere stack across 216 hands.
  • Matrix M327 tabulates 4.01u ($201) in house hold over 285u of Labouchere action.
  • Scoreboard check M327: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (absorbing-barrier escalation) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 20 units to a 3-shoe session lets Labouchere Split-Line overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 216 hands, Labouchere generates 285u in action, 4.01u 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 216-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