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PROGRESSION SURVIVAL AUDIT · LABS80

Labouchere Split-Line (1-2-3-4) — 80-Hand Single Shoe (40u Bankroll) Survival & Ruin Proof

[LABS80] 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 80-Hand Single Shoe (40u Bankroll) (Complete 8-deck live shoe from burn card to cut card backed by a 40-unit session stack), staking Labouchere on Player (1.2351% house edge) generates 228.0 units of cumulative action, an expected mathematical cost of −2.82 units, ±24.25 units of standard deviation, and a 80.4% session survival rate (19.6% bankroll ruin risk).

LABS80 Action
228.0u
LABS80 Expected EV
-2.82u
LABS80 Session SD
±24.25u
LABS80 Survival
80.4%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

LABS80 (Labouchere · 80H / 40u) scoreboard sample. Derived-road red/blue marks never alter LABS80 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

Column 3 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Mark #2

Column 4 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

  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 1 bead. Same depth → red (=).

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

Cockroach Pig Mark #2

Column 5 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

  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 1 bead. Same depth → red (=).

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

LABS80 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).

LABS80 Cumulative Action
228.0u wagered

80 hands × 2.85u average stake multiplier.

LABS80 Expected Cost (EV)
-2.82u

Linear expectation across 228.0u action at 1.2351% Player edge.

LABS80 Session Dispersion
±24.25u SD

Volatility envelope over 80 deals against a 40u bankroll.

LABS80 Survival / Ruin Split
80.4% / 19.6%

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

LABS80 STOCHASTIC HORIZON

Labouchere (LABS80) Over 80 Hands With a 40-Unit Bankroll

[LABS80-MECHANICS] Staking protocol LABS80 applies Labouchere Split-Line (1-2-3-4) (1+4=5, 2+3=5) on Player across 80 hands with a 40-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. Complete 8-deck live shoe from burn card to cut card backed by a 40-unit session stack.

[LABS80-EXPECTATION] By linearity of expectation, LABS80 cannot alter the 8-deck 1.2351% Player house edge: multiplying 228.0u cumulative action by −1.2351% locks in −2.82u expected drift with ±24.25u 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.

LABS80 CheckpointLABS80 HandsLABS80 ActionLABS80 EV DriftLABS80 SD Band
LABS80-Stage-116h [LABS80]45.6u [LABS80]-0.56u [LABS80]±10.84u [LABS80]
LABS80-Stage-232h [LABS80]91.2u [LABS80]-1.13u [LABS80]±15.33u [LABS80]
LABS80-Stage-348h [LABS80]136.8u [LABS80]-1.69u [LABS80]±18.78u [LABS80]
LABS80-Stage-464h [LABS80]182.4u [LABS80]-2.25u [LABS80]±21.69u [LABS80]
LABS80-Stage-580h [LABS80]228.0u [LABS80]-2.82u [LABS80]±24.25u [LABS80]
  • LABS80 step sequence: 1+4=5, 2+3=5 (2.85u mean bet size across 80 hands).
  • LABS80 bankroll boundary: 40u starting stack faces 19.6% ruin risk and 80.4% survival probability.
  • LABS80 road independence: Big Eye Boy and Small Road patterns on BPBPBPBB never change the −2.82u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Labouchere over 80 hands with 40 units changes the mathematical expectation of the shoe.
TruthEvery hand in LABS80 faces the same 1.2351% Player house edge; scaling bet sizes to 228.0u total action scales expected cost to −2.82u while reshaping variance (±24.25u 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