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PROGRESSION SURVIVAL AUDIT · LABS50

Labouchere Split-Line (1-2-3-4) — 50-Hand Sprint (20u Bankroll) Survival & Ruin Proof

[LABS50] 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 50-Hand Sprint (20u Bankroll) (Fast 45-minute mini-baccarat or two-thirds shoe sprint with a compact 20-unit buy-in), staking Labouchere on Player (1.2351% house edge) generates 142.5 units of cumulative action, an expected mathematical cost of −1.76 units, ±19.17 units of standard deviation, and a 71.3% session survival rate (28.7% bankroll ruin risk).

LABS50 Action
142.5u
LABS50 Expected EV
-1.76u
LABS50 Session SD
±19.17u
LABS50 Survival
71.3%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

LABS50 (Labouchere · 50H / 20u) scoreboard sample. Derived-road red/blue marks never alter LABS50 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 3. Column 1 has a bead at Row 3 too → red (=).

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

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 has a bead at Row 3 too → red (=).

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

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

This bead is at Row 3. Column 1 has a bead at Row 3 too → red (=).

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 has a bead at Row 3 too → red (=).

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.

Verified Reference Data

Key Facts & Table Specifications

LABS50 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).

LABS50 Cumulative Action
142.5u wagered

50 hands × 2.85u average stake multiplier.

LABS50 Expected Cost (EV)
-1.76u

Linear expectation across 142.5u action at 1.2351% Player edge.

LABS50 Session Dispersion
±19.17u SD

Volatility envelope over 50 deals against a 20u bankroll.

LABS50 Survival / Ruin Split
71.3% / 28.7%

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

LABS50 STOCHASTIC HORIZON

Labouchere (LABS50) Over 50 Hands With a 20-Unit Bankroll

[LABS50-MECHANICS] Staking protocol LABS50 applies Labouchere Split-Line (1-2-3-4) (1+4=5, 2+3=5) on Player across 50 hands with a 20-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. Fast 45-minute mini-baccarat or two-thirds shoe sprint with a compact 20-unit buy-in.

[LABS50-EXPECTATION] By linearity of expectation, LABS50 cannot alter the 8-deck 1.2351% Player house edge: multiplying 142.5u cumulative action by −1.2351% locks in −1.76u expected drift with ±19.17u 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.

LABS50 CheckpointLABS50 HandsLABS50 ActionLABS50 EV DriftLABS50 SD Band
LABS50-Stage-110h [LABS50]28.5u [LABS50]-0.35u [LABS50]±8.57u [LABS50]
LABS50-Stage-220h [LABS50]57.0u [LABS50]-0.70u [LABS50]±12.12u [LABS50]
LABS50-Stage-330h [LABS50]85.5u [LABS50]-1.06u [LABS50]±14.85u [LABS50]
LABS50-Stage-440h [LABS50]114.0u [LABS50]-1.41u [LABS50]±17.14u [LABS50]
LABS50-Stage-550h [LABS50]142.5u [LABS50]-1.76u [LABS50]±19.17u [LABS50]
  • LABS50 step sequence: 1+4=5, 2+3=5 (2.85u mean bet size across 50 hands).
  • LABS50 bankroll boundary: 20u starting stack faces 28.7% ruin risk and 71.3% survival probability.
  • LABS50 road independence: Big Eye Boy and Small Road patterns on PPPBBBPP never change the −1.76u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Labouchere over 50 hands with 20 units changes the mathematical expectation of the shoe.
TruthEvery hand in LABS50 faces the same 1.2351% Player house edge; scaling bet sizes to 142.5u total action scales expected cost to −1.76u while reshaping variance (±19.17u 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