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STAGE 2 BANKROLL MATRIX · LABOUCHERE · 30U / 5-SHOE

Labouchere Split-Line — 30-Unit Bankroll & 5-Shoe (360-Hand) Risk-of-Ruin Matrix

Across 360 eight-deck hands (5 shoes), house-edge-anchored simulation M330-0 for Labouchere Split-Line on a 30-unit bankroll calibrates a 94.80% risk-of-ruin figure, dissects 6 ceiling-collision events against the 80-unit cap and a 0.50% 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 (-15u Stop)
94.80%
Target Hit (+8u Cap)
19.77%
360-Hand Expected Hold
7.54u
Table Max (5-Step Depth)
80u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Matrix Cell M330 (Labouchere Split-Line, 30u 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

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 / 5 Shoes (360 Hands)

Matrix cell M330 tests Labouchere Split-Line with a $50 base unit and -15u/+8u absorbing boundaries.

Stop-Loss Ruin Probability
94.80%

Probability of hitting the -15u drawdown barrier before completing 360 hands or reaching +8u.

Stop-Win Target Completion
19.77%

Share of 360-hand trajectories reaching the +8u session ceiling, with 0.50% ending between barriers.

Table Limit Survival Depth
5 Steps (80u Cap)

A 80-unit house limit and 30-unit stack cap Labouchere escalation after 5 adverse coups.

Expected Session House Hold
7.54u ($377)

Derived from 536u total action (1.49x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M330 · STOP-LOSS & STOP-WIN GEOMETRY

Labouchere 30u table-capped volatility-band Across 360 Hands (M330)

Cell M330-1 dissects the stochastic decay-rate of a 30-unit Labouchere plan over 360 hands: because each hand remains independent at 1.058% Banker edge, scaling stakes toward the 80-unit ceiling elevates total turnover to 536u and sets ruin at 94.80%.

Across 360 eight-deck hands (5 shoes), sequential simulation M330-2 for Labouchere Split-Line on a 30-unit bankroll evaluates a 94.80% risk-of-ruin figure, computes 6 ceiling-collision events against the 80-unit cap and a 0.50% mid-corridor finish rate.

M330 ParameterLabouchere (30u)5-Shoe volatility-band
Labouchere Ladder[1-2-3-2-1] outside sum (9 steps)Peak 18u multiplier on M330
30u Stack Window360 hands (5 shoes)Barriers -15u / +8u
80u Ceiling & Ruin94.80% ruin vs 19.77% winDepth 5 steps (6 cap hits)
536u Handle & Hold7.54u ($377)Multiplier 1.49x (table-capped drift)
STEP ESCALATION & TURNOVER AUDIT

80u Ceiling Collisions & Labouchere Turnover (5 Shoes)

Cell M330-3 audits the drawdown-weighted threshold of a 30-unit Labouchere plan over 360 hands: because each hand remains independent at 1.058% Banker edge, scaling stakes toward the 80-unit ceiling elevates total turnover to 536u and sets ruin at 94.80%.

Across 360 eight-deck hands (5 shoes), multi-coup simulation M330-4 for Labouchere Split-Line on a 30-unit bankroll tracks a 94.80% risk-of-ruin figure, evaluates 6 ceiling-collision events against the 80-unit cap and a 0.50% mid-corridor finish rate.

  • Cell M330 rule: lock the -15u stop on your 30u Labouchere stack across 360 hands.
  • Matrix M330 models 7.54u ($377) in house hold over 536u of Labouchere action.
  • Scoreboard check M330: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (table-capped volatility-band) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 30 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 536u in action, 7.54u 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