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PROGRESSION SURVIVAL AUDIT · RMRS500

Reverse Martingale 4-Step (1-2-4-8) — 500-Hand High-Limit Marathon (200u Bankroll) Survival & Ruin Proof

[RMRS500] Lets house winnings ride across four consecutive wins (1u, 2u, 4u, 8u) for a +15u surge, resetting to 1u on any loss. Across 500-Hand High-Limit Marathon (200u Bankroll) (Six-shoe salon marathon exposing long-run house-edge drift against a 200-unit reserve), staking Reverse Martingale on Player (1.2351% house edge) generates 970.0 units of cumulative action, an expected mathematical cost of −11.98 units, ±41.26 units of standard deviation, and a 84.0% session survival rate (16.0% bankroll ruin risk).

RMRS500 Action
970.0u
RMRS500 Expected EV
-11.98u
RMRS500 Session SD
±41.26u
RMRS500 Survival
84.0%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

RMRS500 (Reverse Martingale · 500H / 200u) scoreboard sample. Derived-road red/blue marks never alter RMRS500 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

RMRS500 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).

RMRS500 Cumulative Action
970.0u wagered

500 hands × 1.94u average stake multiplier.

RMRS500 Expected Cost (EV)
-11.98u

Linear expectation across 970.0u action at 1.2351% Player edge.

RMRS500 Session Dispersion
±41.26u SD

Volatility envelope over 500 deals against a 200u bankroll.

RMRS500 Survival / Ruin Split
84.0% / 16.0%

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.

RMRS500 STOCHASTIC HORIZON

Reverse Martingale (RMRS500) Over 500 Hands With a 200-Unit Bankroll

[RMRS500-MECHANICS] Staking protocol RMRS500 applies Reverse Martingale 4-Step (1-2-4-8) (1-2-4-8-collect) on Player across 500 hands with a 200-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. Six-shoe salon marathon exposing long-run house-edge drift against a 200-unit reserve.

[RMRS500-EXPECTATION] By linearity of expectation, RMRS500 cannot alter the 8-deck 1.2351% Player house edge: multiplying 970.0u cumulative action by −1.2351% locks in −11.98u expected drift with ±41.26u 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.

RMRS500 CheckpointRMRS500 HandsRMRS500 ActionRMRS500 EV DriftRMRS500 SD Band
RMRS500-Stage-1100h [RMRS500]194.0u [RMRS500]-2.40u [RMRS500]±18.45u [RMRS500]
RMRS500-Stage-2200h [RMRS500]388.0u [RMRS500]-4.79u [RMRS500]±26.10u [RMRS500]
RMRS500-Stage-3300h [RMRS500]582.0u [RMRS500]-7.19u [RMRS500]±31.96u [RMRS500]
RMRS500-Stage-4400h [RMRS500]776.0u [RMRS500]-9.58u [RMRS500]±36.90u [RMRS500]
RMRS500-Stage-5500h [RMRS500]970.0u [RMRS500]-11.98u [RMRS500]±41.26u [RMRS500]
  • RMRS500 step sequence: 1-2-4-8-collect (1.94u mean bet size across 500 hands).
  • RMRS500 bankroll boundary: 200u starting stack faces 16.0% ruin risk and 84.0% survival probability.
  • RMRS500 road independence: Big Eye Boy and Small Road patterns on BBPPBBPP never change the −11.98u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Reverse Martingale over 500 hands with 200 units changes the mathematical expectation of the shoe.
TruthEvery hand in RMRS500 faces the same 1.2351% Player house edge; scaling bet sizes to 970.0u total action scales expected cost to −11.98u while reshaping variance (±41.26u 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