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PROGRESSION SURVIVAL AUDIT · RMRS80

Reverse Martingale 4-Step (1-2-4-8) — 80-Hand Single Shoe (40u Bankroll) Survival & Ruin Proof

[RMRS80] Lets house winnings ride across four consecutive wins (1u, 2u, 4u, 8u) for a +15u surge, resetting to 1u on any 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 Reverse Martingale on Player (1.2351% house edge) generates 155.2 units of cumulative action, an expected mathematical cost of −1.92 units, ±16.50 units of standard deviation, and a 86.7% session survival rate (13.3% bankroll ruin risk).

RMRS80 Action
155.2u
RMRS80 Expected EV
-1.92u
RMRS80 Session SD
±16.50u
RMRS80 Survival
86.7%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

RMRS80 (Reverse Martingale · 80H / 40u) scoreboard sample. Derived-road red/blue marks never alter RMRS80 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

RMRS80 Staking Sequence
1-2-4-8-collect

Lets house winnings ride across four consecutive wins (1u, 2u, 4u, 8u) for a +15u surge, resetting to 1u on any loss (High-Volatility Positive Press).

RMRS80 Cumulative Action
155.2u wagered

80 hands × 1.94u average stake multiplier.

RMRS80 Expected Cost (EV)
-1.92u

Linear expectation across 155.2u action at 1.2351% Player edge.

RMRS80 Session Dispersion
±16.50u SD

Volatility envelope over 80 deals against a 40u bankroll.

RMRS80 Survival / Ruin Split
86.7% / 13.3%

Requires a 5.9% four-hand win streak to complete a full cycle, forfeiting intermediate 1-win, 2-win, and 3-win gains along the way.

RMRS80 STOCHASTIC HORIZON

Reverse Martingale (RMRS80) Over 80 Hands With a 40-Unit Bankroll

[RMRS80-MECHANICS] Staking protocol RMRS80 applies Reverse Martingale 4-Step (1-2-4-8) (1-2-4-8-collect) on Player across 80 hands with a 40-unit stop-loss. Lets house winnings ride across four consecutive wins (1u, 2u, 4u, 8u) for a +15u surge, resetting to 1u on any loss. Complete 8-deck live shoe from burn card to cut card backed by a 40-unit session stack.

[RMRS80-EXPECTATION] By linearity of expectation, RMRS80 cannot alter the 8-deck 1.2351% Player house edge: multiplying 155.2u cumulative action by −1.2351% locks in −1.92u expected drift with ±16.50u standard deviation. Requires a 5.9% four-hand win streak to complete a full cycle, forfeiting intermediate 1-win, 2-win, and 3-win gains along the way. Remember that baccarat is an 18+ / 21+ game of chance; review /legal/responsible-gambling before setting session limits.

RMRS80 CheckpointRMRS80 HandsRMRS80 ActionRMRS80 EV DriftRMRS80 SD Band
RMRS80-Stage-116h [RMRS80]31.0u [RMRS80]-0.38u [RMRS80]±7.38u [RMRS80]
RMRS80-Stage-232h [RMRS80]62.1u [RMRS80]-0.77u [RMRS80]±10.44u [RMRS80]
RMRS80-Stage-348h [RMRS80]93.1u [RMRS80]-1.15u [RMRS80]±12.78u [RMRS80]
RMRS80-Stage-464h [RMRS80]124.2u [RMRS80]-1.53u [RMRS80]±14.76u [RMRS80]
RMRS80-Stage-580h [RMRS80]155.2u [RMRS80]-1.92u [RMRS80]±16.50u [RMRS80]
  • RMRS80 step sequence: 1-2-4-8-collect (1.94u mean bet size across 80 hands).
  • RMRS80 bankroll boundary: 40u starting stack faces 13.3% ruin risk and 86.7% survival probability.
  • RMRS80 road independence: Big Eye Boy and Small Road patterns on BBBPPPBB never change the −1.92u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Reverse Martingale over 80 hands with 40 units changes the mathematical expectation of the shoe.
TruthEvery hand in RMRS80 faces the same 1.2351% Player house edge; scaling bet sizes to 155.2u total action scales expected cost to −1.92u while reshaping variance (±16.50u 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