Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math & Odds Hub
  3. Labouchere vs Oscar's Grind (No-Comm High-Tie)
STAGE 2 STRESS TEST · LABOUCHERE VS OSCAR'S GRIND

Labouchere Split-Line vs. Oscar's Grind 1-Unit Cycle — 18% Tie-Heavy Shoe under No-Commission Banker 6 Half-Pay (80-Hand Stress Test)

Stress test S358-0 measures Labouchere Split-Line ([1-2-3-2-1] outside sum) against Oscar's Grind 1-Unit Cycle (hold on loss / +1 on win) inside a 85-unit bankroll over 80 hands (No-Comm High-Tie, high-tie), where a 60-unit table ceiling produces 19.75% vs 8.39% ruin rates and audits 2.29u in finite-shoe vigorish drag. Because every 8-deck coup is statistically independent under No-Commission Banker 6 (0.50:1 on 6) (1.4579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.

Labouchere Ruin Rate
19.75%
Oscar's Grind Ruin Rate
8.39%
Peak Trough (5-Run)
-36u
No-Comm High-Tie House Edge
1.4579%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Stress Cell S358 (Labouchere vs Oscar's Grind, 18% Tie-Heavy Shoe under No-Commission Banker 6 Half-Pay). Big Road shows Banker (red) and Player (blue); derived roads track 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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #2

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Matchup & Shoe Profile
Labouchere vs Oscar's Grind (No-Comm High-Tie)

Stress cell S358 compares [1-2-3-2-1] outside sum against hold on loss / +1 on win over 80 hands.

Head-to-Head Ruin Rate
19.75% vs 8.39%

Probability of exhausting the 85-unit bankroll under a 60-unit house bet limit.

Expected Session Hold
3.69u vs 1.92u

Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 80 coups.

Peak Drawdown Excursion
-36u vs -18u

Deepest unit trough triggered by a 5-hand run inside the high-tie shoe profile.

Tie Stalls & Commission Toll
15 Ties · 2.29u Drag

Reflects 18.75% tie frequency (15 pushes) and 2.29u in vigorish friction.

STRESS CELL S358 · HIGH-TIE SHOE PROFILE

Labouchere vs. Oscar's Grind variance-scaled volatility-band (80 Hands · S358)

Evaluating Labouchere vs Oscar's Grind in scenario S358-1 (80 hands, 85u stack, 60u table limit) dissects how 15 tie stalls (18.75%) and a 5-coup run shape commission-adjusted decay-rate, yielding 19.75% vs 8.39% ruin.

Stress test S358-2 quantifies Labouchere Split-Line ([1-2-3-2-1] outside sum) against Oscar's Grind 1-Unit Cycle (hold on loss / +1 on win) inside a 85-unit bankroll over 80 hands (No-Comm High-Tie, high-tie), where a 60-unit table ceiling produces 19.75% vs 8.39% ruin rates and measures 2.29u in multi-coup vigorish drag.

S358 volatility-bandLabouchereOscar's Grind
Labouchere / Oscar's Grind Rule[1-2-3-2-1] outside sumhold on loss / +1 on win
80-Hand Ruin (85u)19.75%8.39%
No-Comm High-Tie Hold (1.4579%)3.69u1.92u
5-Run Trough (60u Cap)-36u-18u
VIGORISH & TABLE CEILING INTERACTION

No-Comm High-Tie Vigorish (2.29u) & 18.75% Tie Push Audit (S358)

Evaluating Labouchere vs Oscar's Grind in scenario S358-3 (80 hands, 85u stack, 60u table limit) computes how 15 tie stalls (18.75%) and a 5-coup run shape discrete-time threshold, yielding 19.75% vs 8.39% ruin.

Stress test S358-4 maps Labouchere Split-Line ([1-2-3-2-1] outside sum) against Oscar's Grind 1-Unit Cycle (hold on loss / +1 on win) inside a 85-unit bankroll over 80 hands (No-Comm High-Tie, high-tie), where a 60-unit table ceiling produces 19.75% vs 8.39% ruin rates and documents 2.29u in drawdown-weighted vigorish drag.

  • Trial S358: set a 85u stop before running Labouchere vs Oscar's Grind over 80 hands.
  • Scenario S358 tabulates 2.29u in commission drag and 15 tie pushes (18.75% Tie rate).
  • Board rule S358: derived road red marks variance-scaled column repetition and blue marks a structural break (volatility-band), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Oscar's Grind to Labouchere during 18% Tie-Heavy Shoe under No-Commission Banker 6 Half-Pay neutralizes the 1.4579% house edge.
TruthOver 80 hands on a 85-unit stack, Labouchere carries 3.69u expected loss (19.75% ruin) vs 1.92u (8.39% ruin) for Oscar's Grind.
MythDuring a 5-hand high-tie sequence, red marks on Big Eye Boy or Small Road indicate Banker is favored next.
TruthDerived road colors never represent Banker or Player: red denotes repeatingBig Road structure and blue denotes breaking structure.
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