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STAGE 2 BANKROLL MATRIX · LABOUCHERE · 30U / 2-SHOE

Labouchere Split-Line — 30-Unit Bankroll & 2-Shoe (144-Hand) Risk-of-Ruin Matrix

Within sequential horizon M329-0, a 30-unit treasury backing Labouchere Split-Line for 144 hands (2 shoes) faces a 50-unit bet cap that audits 76.93% ruin exposure, 24.36% target attainment at +8u, and 0.50% time-limit expiration. 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 (-15u Stop)
76.93%
Target Hit (+8u Cap)
24.36%
144-Hand Expected Hold
3.03u
Table Max (5-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 M329 (Labouchere Split-Line, 30u 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
30u / 2 Shoes (144 Hands)

Matrix cell M329 tests Labouchere Split-Line with a $25 base unit and -15u/+8u absorbing boundaries.

Stop-Loss Ruin Probability
76.93%

Probability of hitting the -15u drawdown barrier before completing 144 hands or reaching +8u.

Stop-Win Target Completion
24.36%

Share of 144-hand trajectories reaching the +8u session ceiling, with 0.50% ending between barriers.

Table Limit Survival Depth
5 Steps (50u Cap)

A 50-unit house limit and 30-unit stack cap Labouchere escalation after 5 adverse coups.

Expected Session House Hold
3.03u ($76)

Derived from 215u total action (1.49x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M329 · STOP-LOSS & STOP-WIN GEOMETRY

Labouchere 30u eight-deck exposure Across 144 Hands (M329)

Horizon matrix M329-1 tracks how Labouchere ([1-2-3-2-1] outside sum) behaves inside a 30-unit session budget across 144 coups, showing that a 50-unit pit limit and 15-unit floor generate a 76.93% drawdown-trigger rate alongside 3.03u in expected 8-deck vigorish.

Within multi-coup horizon M329-2, a 30-unit treasury backing Labouchere Split-Line for 144 hands (2 shoes) faces a 50-unit bet cap that measures 76.93% ruin exposure, 24.36% target attainment at +8u, and 0.50% time-limit expiration.

M329 ParameterLabouchere (30u)2-Shoe exposure
Labouchere Ladder[1-2-3-2-1] outside sum (9 steps)Peak 18u multiplier on M329
30u Stack Window144 hands (2 shoes)Barriers -15u / +8u
50u Ceiling & Ruin76.93% ruin vs 24.36% winDepth 5 steps (4 cap hits)
215u Handle & Hold3.03u ($76)Multiplier 1.49x (eight-deck drift)
STEP ESCALATION & TURNOVER AUDIT

50u Ceiling Collisions & Labouchere Turnover (2 Shoes)

Horizon matrix M329-3 maps how Labouchere ([1-2-3-2-1] outside sum) behaves inside a 30-unit session budget across 144 coups, showing that a 50-unit pit limit and 15-unit floor generate a 76.93% drawdown-trigger rate alongside 3.03u in expected 8-deck vigorish.

Within session-bounded horizon M329-4, a 30-unit treasury backing Labouchere Split-Line for 144 hands (2 shoes) faces a 50-unit bet cap that documents 76.93% ruin exposure, 24.36% target attainment at +8u, and 0.50% time-limit expiration.

  • Cell M329 rule: lock the -15u stop on your 30u Labouchere stack across 144 hands.
  • Matrix M329 profiles 3.03u ($76) in house hold over 215u of Labouchere action.
  • Scoreboard check M329: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (eight-deck exposure) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 30 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 215u in action, 3.03u in expected loss, and a 76.93% 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