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STAGE 2 BANKROLL MATRIX · LABOUCHERE · 300U / 10-SHOE

Labouchere Split-Line — 300-Unit Bankroll & 10-Shoe (720-Hand) Risk-of-Ruin Matrix

Sequential profile M348-0 quantifies Labouchere Split-Line over a 10-shoe (720-hand) horizon with 300 units: sequential escalation ([1-2-3-2-1] outside sum, 9 steps) interacts with the 100-unit limit to maps a 38.47% ruin rate and a stochastic excursion of 3.48x. 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 (-150u Stop)
38.47%
Target Hit (+75u Cap)
35.72%
720-Hand Expected Hold
35.26u
Table Max (7-Step Depth)
100u
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 M348 (Labouchere Split-Line, 300u bankroll, 720 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
300u / 10 Shoes (720 Hands)

Matrix cell M348 tests Labouchere Split-Line with a $100 base unit and -150u/+75u absorbing boundaries.

Stop-Loss Ruin Probability
38.47%

Probability of hitting the -150u drawdown barrier before completing 720 hands or reaching +75u.

Stop-Win Target Completion
35.72%

Share of 720-hand trajectories reaching the +75u session ceiling, with 25.82% ending between barriers.

Table Limit Survival Depth
7 Steps (100u Cap)

A 100-unit house limit and 300-unit stack cap Labouchere escalation after 7 adverse coups.

Expected Session House Hold
35.26u ($3526)

Derived from 2506u total action (3.48x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M348 · STOP-LOSS & STOP-WIN GEOMETRY

Labouchere 300u eight-deck cadence Across 720 Hands (M348)

Under configuration M348-1, deploying Labouchere with 300 base units over 720 resolved hands (10 shoes) charts a drawdown-weighted escalation: hitting the 100-unit house cap after 7 adverse steps drives a 38.47% stop-loss breach rate against a 35.72% chance of reaching the +75-unit target.

Sequential profile M348-2 profiles Labouchere Split-Line over a 10-shoe (720-hand) horizon with 300 units: multi-coup escalation ([1-2-3-2-1] outside sum, 9 steps) interacts with the 100-unit limit to charts a 38.47% ruin rate and a combinatorial survival-window of 3.48x.

M348 ParameterLabouchere (300u)10-Shoe cadence
Labouchere Ladder[1-2-3-2-1] outside sum (9 steps)Peak 18u multiplier on M348
300u Stack Window720 hands (10 shoes)Barriers -150u / +75u
100u Ceiling & Ruin38.47% ruin vs 35.72% winDepth 7 steps (9 cap hits)
2506u Handle & Hold35.26u ($3526)Multiplier 3.48x (eight-deck drift)
STEP ESCALATION & TURNOVER AUDIT

100u Ceiling Collisions & Labouchere Turnover (10 Shoes)

Under configuration M348-3, deploying Labouchere with 300 base units over 720 resolved hands (10 shoes) calibrates a finite-shoe exposure: hitting the 100-unit house cap after 7 adverse steps drives a 38.47% stop-loss breach rate against a 35.72% chance of reaching the +75-unit target.

Sequential profile M348-4 dissects Labouchere Split-Line over a 10-shoe (720-hand) horizon with 300 units: session-bounded escalation ([1-2-3-2-1] outside sum, 9 steps) interacts with the 100-unit limit to documents a 38.47% ruin rate and a capital-bounded stake-velocity of 3.48x.

  • Cell M348 rule: lock the -150u stop on your 300u Labouchere stack across 720 hands.
  • Matrix M348 evaluates 35.26u ($3526) in house hold over 2506u of Labouchere action.
  • Scoreboard check M348: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (eight-deck cadence) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 300 units to a 10-shoe session lets Labouchere Split-Line overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 720 hands, Labouchere generates 2506u in action, 35.26u in expected loss, and a 38.47% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell Labouchere bettors whether Banker (red) or Player (blue) is due during a 720-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