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STAGE 2 BANKROLL MATRIX · REV LABOUCHERE · 40U / 1-SHOE

Reverse Labouchere Line — 40-Unit Bankroll & 1-Shoe (72-Hand) Risk-of-Ruin Matrix

Under commission-adjusted boundary rules in M356-0, pairing Reverse Labouchere Line with 40 units across 1 shoes (72 hands) and a 40-unit maximum calibrates a 23.58% stop-loss absorption rate, surviving at most 6 adverse steps before absorbing-barrier threshold truncation. 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 (-20u Stop)
23.58%
Target Hit (+10u Cap)
39.06%
72-Hand Expected Hold
1.28u
Table Max (6-Step Depth)
40u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Matrix Cell M356 (Reverse Labouchere Line, 40u 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

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Small Road Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

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
40u / 1 Shoes (72 Hands)

Matrix cell M356 tests Reverse Labouchere Line with a $25 base unit and -20u/+10u absorbing boundaries.

Stop-Loss Ruin Probability
23.58%

Probability of hitting the -20u drawdown barrier before completing 72 hands or reaching +10u.

Stop-Win Target Completion
39.06%

Share of 72-hand trajectories reaching the +10u session ceiling, with 37.36% ending between barriers.

Table Limit Survival Depth
6 Steps (40u Cap)

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

Expected Session House Hold
1.28u ($32)

Derived from 102u total action (1.42x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M356 · STOP-LOSS & STOP-WIN GEOMETRY

Rev Labouchere 40u finite-shoe boundary Across 72 Hands (M356)

Audit M356-1 dissects the asymmetric ledger of Rev Labouchere when anchored to 40 units and a 72-hand (1-shoe) schedule: the 40-unit maximum wager restricts recovery at step 6, locking in a 23.58% stop-loss frequency and $32 in mathematical friction.

Under combinatorial boundary rules in M356-2, pairing Reverse Labouchere Line with 40 units across 1 shoes (72 hands) and a 40-unit maximum evaluates a 23.58% stop-loss absorption rate, surviving at most 6 adverse steps before session-bounded excursion truncation.

M356 ParameterRev Labouchere (40u)1-Shoe boundary
Rev Labouchere Ladder[1-2-3-2-1] press line (8 steps)Peak 15u multiplier on M356
40u Stack Window72 hands (1 shoes)Barriers -20u / +10u
40u Ceiling & Ruin23.58% ruin vs 39.06% winDepth 6 steps (2 cap hits)
102u Handle & Hold1.28u ($32)Multiplier 1.42x (finite-shoe drift)
STEP ESCALATION & TURNOVER AUDIT

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

Audit M356-3 audits the non-stationary excursion of Rev Labouchere when anchored to 40 units and a 72-hand (1-shoe) schedule: the 40-unit maximum wager restricts recovery at step 6, locking in a 23.58% stop-loss frequency and $32 in mathematical friction.

Under table-capped boundary rules in M356-4, pairing Reverse Labouchere Line with 40 units across 1 shoes (72 hands) and a 40-unit maximum tracks a 23.58% stop-loss absorption rate, surviving at most 6 adverse steps before sequential survival-window truncation.

  • Cell M356 rule: lock the -20u stop on your 40u Rev Labouchere stack across 72 hands.
  • Matrix M356 quantifies 1.28u ($32) in house hold over 102u of Rev Labouchere action.
  • Scoreboard check M356: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (finite-shoe boundary) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 40 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 102u in action, 1.28u in expected loss, and a 23.58% 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