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

Labouchere Split-Line — 50-Unit Bankroll & 2-Shoe (144-Hand) Risk-of-Ruin Matrix

Sequential profile M334-0 measures Labouchere Split-Line over a 2-shoe (144-hand) horizon with 50 units: bankroll-constrained escalation ([1-2-3-2-1] outside sum, 9 steps) interacts with the 50-unit limit to tracks a 46.01% ruin rate and a drawdown-weighted boundary of 1.81x. 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)
46.01%
Target Hit (+13u Cap)
33.41%
144-Hand Expected Hold
3.67u
Table Max (6-Step Depth)
50u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Matrix Cell M334 (Labouchere Split-Line, 50u 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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 1, 2 columns further back.
  2. Column 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

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
50u / 2 Shoes (144 Hands)

Matrix cell M334 tests Labouchere Split-Line with a $25 base unit and -25u/+13u absorbing boundaries.

Stop-Loss Ruin Probability
46.01%

Probability of hitting the -25u drawdown barrier before completing 144 hands or reaching +13u.

Stop-Win Target Completion
33.41%

Share of 144-hand trajectories reaching the +13u session ceiling, with 20.58% ending between barriers.

Table Limit Survival Depth
6 Steps (50u Cap)

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

Expected Session House Hold
3.67u ($92)

Derived from 261u total action (1.81x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M334 · STOP-LOSS & STOP-WIN GEOMETRY

Labouchere 50u combinatorial progression-curve Across 144 Hands (M334)

Under configuration M334-1, deploying Labouchere with 50 base units over 144 resolved hands (2 shoes) maps a capital-bounded profile: hitting the 50-unit house cap after 6 adverse steps drives a 46.01% stop-loss breach rate against a 33.41% chance of reaching the +13-unit target.

Sequential profile M334-2 documents Labouchere Split-Line over a 2-shoe (144-hand) horizon with 50 units: discrete-time escalation ([1-2-3-2-1] outside sum, 9 steps) interacts with the 50-unit limit to tabulates a 46.01% ruin rate and a table-capped escalation of 1.81x.

M334 ParameterLabouchere (50u)2-Shoe progression-curve
Labouchere Ladder[1-2-3-2-1] outside sum (9 steps)Peak 18u multiplier on M334
50u Stack Window144 hands (2 shoes)Barriers -25u / +13u
50u Ceiling & Ruin46.01% ruin vs 33.41% winDepth 6 steps (4 cap hits)
261u Handle & Hold3.67u ($92)Multiplier 1.81x (combinatorial drift)
STEP ESCALATION & TURNOVER AUDIT

50u Ceiling Collisions & Labouchere Turnover (2 Shoes)

Under configuration M334-3, deploying Labouchere with 50 base units over 144 resolved hands (2 shoes) benchmarks a commission-adjusted boundary: hitting the 50-unit house cap after 6 adverse steps drives a 46.01% stop-loss breach rate against a 33.41% chance of reaching the +13-unit target.

Sequential profile M334-4 models Labouchere Split-Line over a 2-shoe (144-hand) horizon with 50 units: asymmetric escalation ([1-2-3-2-1] outside sum, 9 steps) interacts with the 50-unit limit to measures a 46.01% ruin rate and a commission-adjusted threshold of 1.81x.

  • Cell M334 rule: lock the -25u stop on your 50u Labouchere stack across 144 hands.
  • Matrix M334 charts 3.67u ($92) in house hold over 261u of Labouchere action.
  • Scoreboard check M334: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (combinatorial progression-curve) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 50 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 261u in action, 3.67u in expected loss, and a 46.01% 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