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PROGRESSION SURVIVAL AUDIT · LABS250

Labouchere Split-Line (1-2-3-4) — 250-Hand Weekend Horizon (100u Bankroll) Survival & Ruin Proof

[LABS250] 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 250-Hand Weekend Horizon (100u Bankroll) (Three-plus shoe weekend trip horizon backed by a full 100-unit session bankroll), staking Labouchere on Player (1.2351% house edge) generates 712.5 units of cumulative action, an expected mathematical cost of −8.80 units, ±42.86 units of standard deviation, and a 80.3% session survival rate (19.7% bankroll ruin risk).

LABS250 Action
712.5u
LABS250 Expected EV
-8.80u
LABS250 Session SD
±42.86u
LABS250 Survival
80.3%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

LABS250 (Labouchere · 250H / 100u) scoreboard sample. Derived-road red/blue marks never alter LABS250 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 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 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

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

LABS250 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).

LABS250 Cumulative Action
712.5u wagered

250 hands × 2.85u average stake multiplier.

LABS250 Expected Cost (EV)
-8.80u

Linear expectation across 712.5u action at 1.2351% Player edge.

LABS250 Session Dispersion
±42.86u SD

Volatility envelope over 250 deals against a 100u bankroll.

LABS250 Survival / Ruin Split
80.3% / 19.7%

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

LABS250 STOCHASTIC HORIZON

Labouchere (LABS250) Over 250 Hands With a 100-Unit Bankroll

[LABS250-MECHANICS] Staking protocol LABS250 applies Labouchere Split-Line (1-2-3-4) (1+4=5, 2+3=5) on Player across 250 hands with a 100-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. Three-plus shoe weekend trip horizon backed by a full 100-unit session bankroll.

[LABS250-EXPECTATION] By linearity of expectation, LABS250 cannot alter the 8-deck 1.2351% Player house edge: multiplying 712.5u cumulative action by −1.2351% locks in −8.80u expected drift with ±42.86u 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.

LABS250 CheckpointLABS250 HandsLABS250 ActionLABS250 EV DriftLABS250 SD Band
LABS250-Stage-150h [LABS250]142.5u [LABS250]-1.76u [LABS250]±19.17u [LABS250]
LABS250-Stage-2100h [LABS250]285.0u [LABS250]-3.52u [LABS250]±27.11u [LABS250]
LABS250-Stage-3150h [LABS250]427.5u [LABS250]-5.28u [LABS250]±33.20u [LABS250]
LABS250-Stage-4200h [LABS250]570.0u [LABS250]-7.04u [LABS250]±38.34u [LABS250]
LABS250-Stage-5250h [LABS250]712.5u [LABS250]-8.80u [LABS250]±42.86u [LABS250]
  • LABS250 step sequence: 1+4=5, 2+3=5 (2.85u mean bet size across 250 hands).
  • LABS250 bankroll boundary: 100u starting stack faces 19.7% ruin risk and 80.3% survival probability.
  • LABS250 road independence: Big Eye Boy and Small Road patterns on PPBBPPBB never change the −8.80u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Labouchere over 250 hands with 100 units changes the mathematical expectation of the shoe.
TruthEvery hand in LABS250 faces the same 1.2351% Player house edge; scaling bet sizes to 712.5u total action scales expected cost to −8.80u while reshaping variance (±42.86u 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