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PROGRESSION SURVIVAL AUDIT · LABS500

Labouchere Split-Line (1-2-3-4) — 500-Hand High-Limit Marathon (200u Bankroll) Survival & Ruin Proof

[LABS500] Stakes the sum of the first and last numbers on a 1-2-3-4 line; crosses both off on a win or appends the lost sum to the right end on a loss. Across 500-Hand High-Limit Marathon (200u Bankroll) (Six-shoe salon marathon exposing long-run house-edge drift against a 200-unit reserve), staking Labouchere on Player (1.2351% house edge) generates 1425.0 units of cumulative action, an expected mathematical cost of −17.60 units, ±60.62 units of standard deviation, and a 76.4% session survival rate (23.6% bankroll ruin risk).

LABS500 Action
1425.0u
LABS500 Expected EV
-17.60u
LABS500 Session SD
±60.62u
LABS500 Survival
76.4%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

LABS500 (Labouchere · 500H / 200u) scoreboard sample. Derived-road red/blue marks never alter LABS500 progression expectation.

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

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

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.

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

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 stopped at Row 1, one row above → blue (≠).

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

LABS500 Staking Sequence
1+4=5, 2+3=5

Stakes the sum of the first and last numbers on a 1-2-3-4 line; crosses both off on a win or appends the lost sum to the right end on a loss (Split-Martingale Cancellation).

LABS500 Cumulative Action
1425.0u wagered

500 hands × 2.85u average stake multiplier.

LABS500 Expected Cost (EV)
-17.60u

Linear expectation across 1425.0u action at 1.2351% Player edge.

LABS500 Session Dispersion
±60.62u SD

Volatility envelope over 500 deals against a 200u bankroll.

LABS500 Survival / Ruin Split
76.4% / 23.6%

Clears the line when wins reach 33.4% of resolved hands, but long choppy runs lengthen the line and escalate outside-sum stakes rapidly.

LABS500 STOCHASTIC HORIZON

Labouchere (LABS500) Over 500 Hands With a 200-Unit Bankroll

[LABS500-MECHANICS] Staking protocol LABS500 applies Labouchere Split-Line (1-2-3-4) (1+4=5, 2+3=5) on Player across 500 hands with a 200-unit stop-loss. Stakes the sum of the first and last numbers on a 1-2-3-4 line; crosses both off on a win or appends the lost sum to the right end on a loss. Six-shoe salon marathon exposing long-run house-edge drift against a 200-unit reserve.

[LABS500-EXPECTATION] By linearity of expectation, LABS500 cannot alter the 8-deck 1.2351% Player house edge: multiplying 1425.0u cumulative action by −1.2351% locks in −17.60u expected drift with ±60.62u standard deviation. Clears the line when wins reach 33.4% of resolved hands, but long choppy runs lengthen the line and escalate outside-sum stakes rapidly. Remember that baccarat is an 18+ / 21+ game of chance; review /legal/responsible-gambling before setting session limits.

LABS500 CheckpointLABS500 HandsLABS500 ActionLABS500 EV DriftLABS500 SD Band
LABS500-Stage-1100h [LABS500]285.0u [LABS500]-3.52u [LABS500]±27.11u [LABS500]
LABS500-Stage-2200h [LABS500]570.0u [LABS500]-7.04u [LABS500]±38.34u [LABS500]
LABS500-Stage-3300h [LABS500]855.0u [LABS500]-10.56u [LABS500]±46.95u [LABS500]
LABS500-Stage-4400h [LABS500]1140.0u [LABS500]-14.08u [LABS500]±54.22u [LABS500]
LABS500-Stage-5500h [LABS500]1425.0u [LABS500]-17.60u [LABS500]±60.62u [LABS500]
  • LABS500 step sequence: 1+4=5, 2+3=5 (2.85u mean bet size across 500 hands).
  • LABS500 bankroll boundary: 200u starting stack faces 23.6% ruin risk and 76.4% survival probability.
  • LABS500 road independence: Big Eye Boy and Small Road patterns on BBPBBPBB never change the −17.60u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Labouchere over 500 hands with 200 units changes the mathematical expectation of the shoe.
TruthEvery hand in LABS500 faces the same 1.2351% Player house edge; scaling bet sizes to 1425.0u total action scales expected cost to −17.60u while reshaping variance (±60.62u SD).
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