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PROGRESSION SURVIVAL AUDIT · RMRS160

Reverse Martingale 4-Step (1-2-4-8) — 160-Hand Two-Shoe Session (50u Bankroll) Survival & Ruin Proof

[RMRS160] Lets house winnings ride across four consecutive wins (1u, 2u, 4u, 8u) for a +15u surge, resetting to 1u on any loss. Across 160-Hand Two-Shoe Session (50u Bankroll) (Back-to-back two-shoe floor session testing progression endurance under a 50-unit stop-loss), staking Reverse Martingale on Player (1.2351% house edge) generates 310.4 units of cumulative action, an expected mathematical cost of −3.83 units, ±23.34 units of standard deviation, and a 83.5% session survival rate (16.5% bankroll ruin risk).

RMRS160 Action
310.4u
RMRS160 Expected EV
-3.83u
RMRS160 Session SD
±23.34u
RMRS160 Survival
83.5%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

RMRS160 (Reverse Martingale · 160H / 50u) scoreboard sample. Derived-road red/blue marks never alter RMRS160 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 2. Column 2 stopped at Row 1, one row above → blue (≠).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

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

This bead is at Row 2. Column 2 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

RMRS160 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).

RMRS160 Cumulative Action
310.4u wagered

160 hands × 1.94u average stake multiplier.

RMRS160 Expected Cost (EV)
-3.83u

Linear expectation across 310.4u action at 1.2351% Player edge.

RMRS160 Session Dispersion
±23.34u SD

Volatility envelope over 160 deals against a 50u bankroll.

RMRS160 Survival / Ruin Split
83.5% / 16.5%

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.

RMRS160 STOCHASTIC HORIZON

Reverse Martingale (RMRS160) Over 160 Hands With a 50-Unit Bankroll

[RMRS160-MECHANICS] Staking protocol RMRS160 applies Reverse Martingale 4-Step (1-2-4-8) (1-2-4-8-collect) on Player across 160 hands with a 50-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. Back-to-back two-shoe floor session testing progression endurance under a 50-unit stop-loss.

[RMRS160-EXPECTATION] By linearity of expectation, RMRS160 cannot alter the 8-deck 1.2351% Player house edge: multiplying 310.4u cumulative action by −1.2351% locks in −3.83u expected drift with ±23.34u 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.

RMRS160 CheckpointRMRS160 HandsRMRS160 ActionRMRS160 EV DriftRMRS160 SD Band
RMRS160-Stage-132h [RMRS160]62.1u [RMRS160]-0.77u [RMRS160]±10.44u [RMRS160]
RMRS160-Stage-264h [RMRS160]124.2u [RMRS160]-1.53u [RMRS160]±14.76u [RMRS160]
RMRS160-Stage-396h [RMRS160]186.2u [RMRS160]-2.30u [RMRS160]±18.08u [RMRS160]
RMRS160-Stage-4128h [RMRS160]248.3u [RMRS160]-3.07u [RMRS160]±20.88u [RMRS160]
RMRS160-Stage-5160h [RMRS160]310.4u [RMRS160]-3.83u [RMRS160]±23.34u [RMRS160]
  • RMRS160 step sequence: 1-2-4-8-collect (1.94u mean bet size across 160 hands).
  • RMRS160 bankroll boundary: 50u starting stack faces 16.5% ruin risk and 83.5% survival probability.
  • RMRS160 road independence: Big Eye Boy and Small Road patterns on PPBPPBPP never change the −3.83u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Reverse Martingale over 160 hands with 50 units changes the mathematical expectation of the shoe.
TruthEvery hand in RMRS160 faces the same 1.2351% Player house edge; scaling bet sizes to 310.4u total action scales expected cost to −3.83u while reshaping variance (±23.34u 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