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STAGE 2 BANKROLL MATRIX · REV LABOUCHERE · 20U / 1-SHOE

Reverse Labouchere Line — 20-Unit Bankroll & 1-Shoe (72-Hand) Risk-of-Ruin Matrix

Case M351-0 charts the finite-shoe Reverse Labouchere Line ([1-2-3-2-1] press line) across a 20-unit bankroll and a 72-hand (1-shoe) window, where a 40-unit table ceiling and 10-unit stop-loss produce a 46.79% ruin rate while computes an average stake cycle-span of 1.21x and 1.10u ($28) in theoretical house-edge toll. 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 (-10u Stop)
46.79%
Target Hit (+6u Cap)
29.71%
72-Hand Expected Hold
1.10u
Table Max (5-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 P B B P B P B B P
Big Eye Boy = = = = = = ≠ = = = ≠ ≠ = =
Small Road = = = = = = ≠ ≠ ≠ ≠ = =
Cockroach Pig = = = = = = ≠ ≠ = =

Reference 8-deck shoe for Matrix Cell M351 (Reverse Labouchere Line, 20u 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 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

Session Bankroll & Horizon
20u / 1 Shoes (72 Hands)

Matrix cell M351 tests Reverse Labouchere Line with a $25 base unit and -10u/+6u absorbing boundaries.

Stop-Loss Ruin Probability
46.79%

Probability of hitting the -10u drawdown barrier before completing 72 hands or reaching +6u.

Stop-Win Target Completion
29.71%

Share of 72-hand trajectories reaching the +6u session ceiling, with 23.50% ending between barriers.

Table Limit Survival Depth
5 Steps (40u Cap)

A 40-unit house limit and 20-unit stack cap Rev Labouchere escalation after 5 adverse coups.

Expected Session House Hold
1.10u ($28)

Derived from 87u total action (1.21x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M351 · STOP-LOSS & STOP-WIN GEOMETRY

Rev Labouchere 20u non-stationary drawdown-slope Across 72 Hands (M351)

In session-bounded benchmark M351-1, running Rev Labouchere across 72 deals with 20 units and a 40-unit maximum wager profiles 87u of total handle, 1.10u in commission-weighted drift, and a 46.79% probability of exhausting the 10-unit drawdown buffer.

Case M351-2 calibrates the variance-scaled Reverse Labouchere Line ([1-2-3-2-1] press line) across a 20-unit bankroll and a 72-hand (1-shoe) window, where a 40-unit table ceiling and 10-unit stop-loss produce a 46.79% ruin rate while evaluates an average stake capital-runway of 1.21x and 1.10u ($28) in theoretical house-edge toll.

M351 ParameterRev Labouchere (20u)1-Shoe drawdown-slope
Rev Labouchere Ladder[1-2-3-2-1] press line (8 steps)Peak 15u multiplier on M351
20u Stack Window72 hands (1 shoes)Barriers -10u / +6u
40u Ceiling & Ruin46.79% ruin vs 29.71% winDepth 5 steps (2 cap hits)
87u Handle & Hold1.10u ($28)Multiplier 1.21x (non-stationary drift)
STEP ESCALATION & TURNOVER AUDIT

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

In step-indexed benchmark M351-3, running Rev Labouchere across 72 deals with 20 units and a 40-unit maximum wager dissects 87u of total handle, 1.10u in commission-weighted drift, and a 46.79% probability of exhausting the 10-unit drawdown buffer.

Case M351-4 evaluates the eight-deck Reverse Labouchere Line ([1-2-3-2-1] press line) across a 20-unit bankroll and a 72-hand (1-shoe) window, where a 40-unit table ceiling and 10-unit stop-loss produce a 46.79% ruin rate while inspects an average stake absorption-curve of 1.21x and 1.10u ($28) in theoretical house-edge toll.

  • Cell M351 rule: lock the -10u stop on your 20u Rev Labouchere stack across 72 hands.
  • Matrix M351 charts 1.10u ($28) in house hold over 87u of Rev Labouchere action.
  • Scoreboard check M351: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (non-stationary drawdown-slope) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 20 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 87u in action, 1.10u in expected loss, and a 46.79% 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