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PROGRESSION SURVIVAL AUDIT · RLBS50

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

[RLBS50] Appends won bet amounts to the outer right of the 1-2-3-4 line and crosses off the outer pair whenever a hand loses. Across 50-Hand Sprint (20u Bankroll) (Fast 45-minute mini-baccarat or two-thirds shoe sprint with a compact 20-unit buy-in), staking Reverse Labouchere on Player (1.2351% house edge) generates 102.5 units of cumulative action, an expected mathematical cost of −1.27 units, ±13.79 units of standard deviation, and a 79.3% session survival rate (20.7% bankroll ruin risk).

RLBS50 Action
102.5u
RLBS50 Expected EV
-1.27u
RLBS50 Session SD
±13.79u
RLBS50 Survival
79.3%
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 = = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠

RLBS50 (Reverse Labouchere · 50H / 20u) scoreboard sample. Derived-road red/blue marks never alter RLBS50 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

RLBS50 Staking Sequence
1+4=5, append win

Appends won bet amounts to the outer right of the 1-2-3-4 line and crosses off the outer pair whenever a hand loses (Positive Line Cancellation).

RLBS50 Cumulative Action
102.5u wagered

50 hands × 2.05u average stake multiplier.

RLBS50 Expected Cost (EV)
-1.27u

Linear expectation across 102.5u action at 1.2351% Player edge.

RLBS50 Session Dispersion
±13.79u SD

Volatility envelope over 50 deals against a 20u bankroll.

RLBS50 Survival / Ruin Split
79.3% / 20.7%

Caps total cycle loss to the initial 10-unit line sum (1+2+3+4) while aiming for a prolonged hot-shoe expansion before stop-out.

RLBS50 STOCHASTIC HORIZON

Reverse Labouchere (RLBS50) Over 50 Hands With a 20-Unit Bankroll

[RLBS50-MECHANICS] Staking protocol RLBS50 applies Reverse Labouchere (1-2-3-4 Press) (1+4=5, append win) on Player across 50 hands with a 20-unit stop-loss. Appends won bet amounts to the outer right of the 1-2-3-4 line and crosses off the outer pair whenever a hand loses. Fast 45-minute mini-baccarat or two-thirds shoe sprint with a compact 20-unit buy-in.

[RLBS50-EXPECTATION] By linearity of expectation, RLBS50 cannot alter the 8-deck 1.2351% Player house edge: multiplying 102.5u cumulative action by −1.2351% locks in −1.27u expected drift with ±13.79u standard deviation. Caps total cycle loss to the initial 10-unit line sum (1+2+3+4) while aiming for a prolonged hot-shoe expansion before stop-out. Remember that baccarat is an 18+ / 21+ game of chance; review /legal/responsible-gambling before setting session limits.

RLBS50 CheckpointRLBS50 HandsRLBS50 ActionRLBS50 EV DriftRLBS50 SD Band
RLBS50-Stage-110h [RLBS50]20.5u [RLBS50]-0.25u [RLBS50]±6.17u [RLBS50]
RLBS50-Stage-220h [RLBS50]41.0u [RLBS50]-0.51u [RLBS50]±8.72u [RLBS50]
RLBS50-Stage-330h [RLBS50]61.5u [RLBS50]-0.76u [RLBS50]±10.68u [RLBS50]
RLBS50-Stage-440h [RLBS50]82.0u [RLBS50]-1.01u [RLBS50]±12.33u [RLBS50]
RLBS50-Stage-550h [RLBS50]102.5u [RLBS50]-1.27u [RLBS50]±13.79u [RLBS50]
  • RLBS50 step sequence: 1+4=5, append win (2.05u mean bet size across 50 hands).
  • RLBS50 bankroll boundary: 20u starting stack faces 20.7% ruin risk and 79.3% survival probability.
  • RLBS50 road independence: Big Eye Boy and Small Road patterns on BPBPBPBB never change the −1.27u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Reverse Labouchere over 50 hands with 20 units changes the mathematical expectation of the shoe.
TruthEvery hand in RLBS50 faces the same 1.2351% Player house edge; scaling bet sizes to 102.5u total action scales expected cost to −1.27u while reshaping variance (±13.79u 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