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PROGRESSION SURVIVAL AUDIT · MRGS500

Martingale Doubling (1-2-4-8-16) — 500-Hand High-Limit Marathon (200u Bankroll) Survival & Ruin Proof

[MRGS500] Doubles the wager after every resolved loss and resets to 1 unit immediately after any win. Across 500-Hand High-Limit Marathon (200u Bankroll) (Six-shoe salon marathon exposing long-run house-edge drift against a 200-unit reserve), staking Martingale on Player (1.2351% house edge) generates 1575.0 units of cumulative action, an expected mathematical cost of −19.45 units, ±67.00 units of standard deviation, and a 74.0% session survival rate (26.0% bankroll ruin risk).

MRGS500 Action
1575.0u
MRGS500 Expected EV
-19.45u
MRGS500 Session SD
±67.00u
MRGS500 Survival
74.0%
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 = = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠

MRGS500 (Martingale · 500H / 200u) scoreboard sample. Derived-road red/blue marks never alter MRGS500 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

MRGS500 Staking Sequence
1-2-4-8-16-32

Doubles the wager after every resolved loss and resets to 1 unit immediately after any win (Geometric Negative Progression).

MRGS500 Cumulative Action
1575.0u wagered

500 hands × 3.15u average stake multiplier.

MRGS500 Expected Cost (EV)
-19.45u

Linear expectation across 1575.0u action at 1.2351% Player edge.

MRGS500 Session Dispersion
±67.00u SD

Volatility envelope over 500 deals against a 200u bankroll.

MRGS500 Survival / Ruin Split
74.0% / 26.0%

Compresses frequent 1-unit wins against catastrophic multi-step drawdown cliffs when 5 to 7 consecutive losses hit the bankroll or table cap.

MRGS500 STOCHASTIC HORIZON

Martingale (MRGS500) Over 500 Hands With a 200-Unit Bankroll

[MRGS500-MECHANICS] Staking protocol MRGS500 applies Martingale Doubling (1-2-4-8-16) (1-2-4-8-16-32) on Player across 500 hands with a 200-unit stop-loss. Doubles the wager after every resolved loss and resets to 1 unit immediately after any win. Six-shoe salon marathon exposing long-run house-edge drift against a 200-unit reserve.

[MRGS500-EXPECTATION] By linearity of expectation, MRGS500 cannot alter the 8-deck 1.2351% Player house edge: multiplying 1575.0u cumulative action by −1.2351% locks in −19.45u expected drift with ±67.00u standard deviation. Compresses frequent 1-unit wins against catastrophic multi-step drawdown cliffs when 5 to 7 consecutive losses hit the bankroll or table cap. Remember that baccarat is an 18+ / 21+ game of chance; review /legal/responsible-gambling before setting session limits.

MRGS500 CheckpointMRGS500 HandsMRGS500 ActionMRGS500 EV DriftMRGS500 SD Band
MRGS500-Stage-1100h [MRGS500]315.0u [MRGS500]-3.89u [MRGS500]±29.96u [MRGS500]
MRGS500-Stage-2200h [MRGS500]630.0u [MRGS500]-7.78u [MRGS500]±42.37u [MRGS500]
MRGS500-Stage-3300h [MRGS500]945.0u [MRGS500]-11.67u [MRGS500]±51.89u [MRGS500]
MRGS500-Stage-4400h [MRGS500]1260.0u [MRGS500]-15.56u [MRGS500]±59.92u [MRGS500]
MRGS500-Stage-5500h [MRGS500]1575.0u [MRGS500]-19.45u [MRGS500]±67.00u [MRGS500]
  • MRGS500 step sequence: 1-2-4-8-16-32 (3.15u mean bet size across 500 hands).
  • MRGS500 bankroll boundary: 200u starting stack faces 26.0% ruin risk and 74.0% survival probability.
  • MRGS500 road independence: Big Eye Boy and Small Road patterns on PBPBPBPP never change the −19.45u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Martingale over 500 hands with 200 units changes the mathematical expectation of the shoe.
TruthEvery hand in MRGS500 faces the same 1.2351% Player house edge; scaling bet sizes to 1575.0u total action scales expected cost to −19.45u while reshaping variance (±67.00u 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