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PROGRESSION SURVIVAL AUDIT · RMRS50

Reverse Martingale 4-Step (1-2-4-8) — 50-Hand Sprint (20u Bankroll) Survival & Ruin Proof

[RMRS50] Lets house winnings ride across four consecutive wins (1u, 2u, 4u, 8u) for a +15u surge, resetting to 1u on any 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 Reverse Martingale on Player (1.2351% house edge) generates 97.0 units of cumulative action, an expected mathematical cost of −1.20 units, ±13.05 units of standard deviation, and a 80.4% session survival rate (19.6% bankroll ruin risk).

RMRS50 Action
97.0u
RMRS50 Expected EV
-1.20u
RMRS50 Session SD
±13.05u
RMRS50 Survival
80.4%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

RMRS50 (Reverse Martingale · 50H / 20u) scoreboard sample. Derived-road red/blue marks never alter RMRS50 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

RMRS50 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).

RMRS50 Cumulative Action
97.0u wagered

50 hands × 1.94u average stake multiplier.

RMRS50 Expected Cost (EV)
-1.20u

Linear expectation across 97.0u action at 1.2351% Player edge.

RMRS50 Session Dispersion
±13.05u SD

Volatility envelope over 50 deals against a 20u bankroll.

RMRS50 Survival / Ruin Split
80.4% / 19.6%

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.

RMRS50 STOCHASTIC HORIZON

Reverse Martingale (RMRS50) Over 50 Hands With a 20-Unit Bankroll

[RMRS50-MECHANICS] Staking protocol RMRS50 applies Reverse Martingale 4-Step (1-2-4-8) (1-2-4-8-collect) on Player across 50 hands with a 20-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. Fast 45-minute mini-baccarat or two-thirds shoe sprint with a compact 20-unit buy-in.

[RMRS50-EXPECTATION] By linearity of expectation, RMRS50 cannot alter the 8-deck 1.2351% Player house edge: multiplying 97.0u cumulative action by −1.2351% locks in −1.20u expected drift with ±13.05u 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.

RMRS50 CheckpointRMRS50 HandsRMRS50 ActionRMRS50 EV DriftRMRS50 SD Band
RMRS50-Stage-110h [RMRS50]19.4u [RMRS50]-0.24u [RMRS50]±5.84u [RMRS50]
RMRS50-Stage-220h [RMRS50]38.8u [RMRS50]-0.48u [RMRS50]±8.25u [RMRS50]
RMRS50-Stage-330h [RMRS50]58.2u [RMRS50]-0.72u [RMRS50]±10.11u [RMRS50]
RMRS50-Stage-440h [RMRS50]77.6u [RMRS50]-0.96u [RMRS50]±11.67u [RMRS50]
RMRS50-Stage-550h [RMRS50]97.0u [RMRS50]-1.20u [RMRS50]±13.05u [RMRS50]
  • RMRS50 step sequence: 1-2-4-8-collect (1.94u mean bet size across 50 hands).
  • RMRS50 bankroll boundary: 20u starting stack faces 19.6% ruin risk and 80.4% survival probability.
  • RMRS50 road independence: Big Eye Boy and Small Road patterns on PBPBPBPP never change the −1.20u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Reverse Martingale over 50 hands with 20 units changes the mathematical expectation of the shoe.
TruthEvery hand in RMRS50 faces the same 1.2351% Player house edge; scaling bet sizes to 97.0u total action scales expected cost to −1.20u while reshaping variance (±13.05u 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