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PROGRESSION SURVIVAL AUDIT · MRGS50

Martingale Doubling (1-2-4-8-16) — 50-Hand Sprint (20u Bankroll) Survival & Ruin Proof

[MRGS50] Doubles the wager after every resolved loss and resets to 1 unit immediately after any win. Across 50-Hand Sprint (20u Bankroll) (Fast 45-minute mini-baccarat or two-thirds shoe sprint with a compact 20-unit buy-in), staking Martingale on Player (1.2351% house edge) generates 157.5 units of cumulative action, an expected mathematical cost of −1.95 units, ±21.19 units of standard deviation, and a 68.3% session survival rate (31.7% bankroll ruin risk).

MRGS50 Action
157.5u
MRGS50 Expected EV
-1.95u
MRGS50 Session SD
±21.19u
MRGS50 Survival
68.3%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

MRGS50 (Martingale · 50H / 20u) scoreboard sample. Derived-road red/blue marks never alter MRGS50 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

MRGS50 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).

MRGS50 Cumulative Action
157.5u wagered

50 hands × 3.15u average stake multiplier.

MRGS50 Expected Cost (EV)
-1.95u

Linear expectation across 157.5u action at 1.2351% Player edge.

MRGS50 Session Dispersion
±21.19u SD

Volatility envelope over 50 deals against a 20u bankroll.

MRGS50 Survival / Ruin Split
68.3% / 31.7%

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

MRGS50 STOCHASTIC HORIZON

Martingale (MRGS50) Over 50 Hands With a 20-Unit Bankroll

[MRGS50-MECHANICS] Staking protocol MRGS50 applies Martingale Doubling (1-2-4-8-16) (1-2-4-8-16-32) on Player across 50 hands with a 20-unit stop-loss. Doubles the wager after every resolved loss and resets to 1 unit immediately after any win. Fast 45-minute mini-baccarat or two-thirds shoe sprint with a compact 20-unit buy-in.

[MRGS50-EXPECTATION] By linearity of expectation, MRGS50 cannot alter the 8-deck 1.2351% Player house edge: multiplying 157.5u cumulative action by −1.2351% locks in −1.95u expected drift with ±21.19u 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.

MRGS50 CheckpointMRGS50 HandsMRGS50 ActionMRGS50 EV DriftMRGS50 SD Band
MRGS50-Stage-110h [MRGS50]31.5u [MRGS50]-0.39u [MRGS50]±9.47u [MRGS50]
MRGS50-Stage-220h [MRGS50]63.0u [MRGS50]-0.78u [MRGS50]±13.40u [MRGS50]
MRGS50-Stage-330h [MRGS50]94.5u [MRGS50]-1.17u [MRGS50]±16.41u [MRGS50]
MRGS50-Stage-440h [MRGS50]126.0u [MRGS50]-1.56u [MRGS50]±18.95u [MRGS50]
MRGS50-Stage-550h [MRGS50]157.5u [MRGS50]-1.95u [MRGS50]±21.19u [MRGS50]
  • MRGS50 step sequence: 1-2-4-8-16-32 (3.15u mean bet size across 50 hands).
  • MRGS50 bankroll boundary: 20u starting stack faces 31.7% ruin risk and 68.3% survival probability.
  • MRGS50 road independence: Big Eye Boy and Small Road patterns on BPBPBPBB never change the −1.95u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Martingale over 50 hands with 20 units changes the mathematical expectation of the shoe.
TruthEvery hand in MRGS50 faces the same 1.2351% Player house edge; scaling bet sizes to 157.5u total action scales expected cost to −1.95u while reshaping variance (±21.19u 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