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STAGE 2 BANKROLL MATRIX · REV LABOUCHERE · 75U / 1-SHOE

Reverse Labouchere Line — 75-Unit Bankroll & 1-Shoe (72-Hand) Risk-of-Ruin Matrix

Within multi-coup horizon M361-0, a 75-unit treasury backing Reverse Labouchere Line for 72 hands (1 shoes) faces a 40-unit bet cap that evaluates 12.35% ruin exposure, 42.21% target attainment at +19u, and 45.44% 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 (-38u Stop)
12.35%
Target Hit (+19u Cap)
42.21%
72-Hand Expected Hold
1.62u
Table Max (6-Step Depth)
40u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Matrix Cell M361 (Reverse Labouchere Line, 75u bankroll, 72 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
75u / 1 Shoes (72 Hands)

Matrix cell M361 tests Reverse Labouchere Line with a $25 base unit and -38u/+19u absorbing boundaries.

Stop-Loss Ruin Probability
12.35%

Probability of hitting the -38u drawdown barrier before completing 72 hands or reaching +19u.

Stop-Win Target Completion
42.21%

Share of 72-hand trajectories reaching the +19u session ceiling, with 45.44% ending between barriers.

Table Limit Survival Depth
6 Steps (40u Cap)

A 40-unit house limit and 75-unit stack cap Rev Labouchere escalation after 6 adverse coups.

Expected Session House Hold
1.62u ($41)

Derived from 129u total action (1.79x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M361 · STOP-LOSS & STOP-WIN GEOMETRY

Rev Labouchere 75u capital-bounded excursion Across 72 Hands (M361)

Horizon matrix M361-1 audits how Rev Labouchere ([1-2-3-2-1] press line) behaves inside a 75-unit session budget across 72 coups, showing that a 40-unit pit limit and 38-unit floor generate a 12.35% drawdown-trigger rate alongside 1.62u in expected 8-deck vigorish.

Within session-bounded horizon M361-2, a 75-unit treasury backing Reverse Labouchere Line for 72 hands (1 shoes) faces a 40-unit bet cap that tracks 12.35% ruin exposure, 42.21% target attainment at +19u, and 45.44% time-limit expiration.

M361 ParameterRev Labouchere (75u)1-Shoe excursion
Rev Labouchere Ladder[1-2-3-2-1] press line (8 steps)Peak 15u multiplier on M361
75u Stack Window72 hands (1 shoes)Barriers -38u / +19u
40u Ceiling & Ruin12.35% ruin vs 42.21% winDepth 6 steps (2 cap hits)
129u Handle & Hold1.62u ($41)Multiplier 1.79x (capital-bounded drift)
STEP ESCALATION & TURNOVER AUDIT

40u Ceiling Collisions & Rev Labouchere Turnover (1 Shoes)

Horizon matrix M361-3 measures how Rev Labouchere ([1-2-3-2-1] press line) behaves inside a 75-unit session budget across 72 coups, showing that a 40-unit pit limit and 38-unit floor generate a 12.35% drawdown-trigger rate alongside 1.62u in expected 8-deck vigorish.

Within step-indexed horizon M361-4, a 75-unit treasury backing Reverse Labouchere Line for 72 hands (1 shoes) faces a 40-unit bet cap that maps 12.35% ruin exposure, 42.21% target attainment at +19u, and 45.44% time-limit expiration.

  • Cell M361 rule: lock the -38u stop on your 75u Rev Labouchere stack across 72 hands.
  • Matrix M361 tabulates 1.62u ($41) in house hold over 129u of Rev Labouchere action.
  • Scoreboard check M361: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (capital-bounded excursion) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 75 units to a 1-shoe session lets Reverse Labouchere Line overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 72 hands, Rev Labouchere generates 129u in action, 1.62u in expected loss, and a 12.35% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell Rev Labouchere bettors whether Banker (red) or Player (blue) is due during a 72-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