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PROGRESSION SURVIVAL AUDIT · MMRS50

Mini Martingale (1-2-4 Capped) — 50-Hand Sprint (20u Bankroll) Survival & Ruin Proof

[MMRS50] Doubles through at most three steps (1u, 2u, 4u) and forcibly resets to 1u after a third consecutive 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 Mini Martingale on Banker (1.0579% house edge) generates 86.0 units of cumulative action, an expected mathematical cost of −0.91 units, ±11.28 units of standard deviation, and a 83.2% session survival rate (16.8% bankroll ruin risk).

MMRS50 Action
86.0u
MMRS50 Expected EV
-0.91u
MMRS50 Session SD
±11.28u
MMRS50 Survival
83.2%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

MMRS50 (Mini Martingale · 50H / 20u) scoreboard sample. Derived-road red/blue marks never alter MMRS50 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

MMRS50 Staking Sequence
1-2-4-reset

Doubles through at most three steps (1u, 2u, 4u) and forcibly resets to 1u after a third consecutive loss (Capped Negative Progression).

MMRS50 Cumulative Action
86.0u wagered

50 hands × 1.72u average stake multiplier.

MMRS50 Expected Cost (EV)
-0.91u

Linear expectation across 86.0u action at 1.0579% Banker edge.

MMRS50 Session Dispersion
±11.28u SD

Volatility envelope over 50 deals against a 20u bankroll.

MMRS50 Survival / Ruin Split
83.2% / 16.8%

Caps single-sequence drawdown at 7 units while accepting periodic 7-unit stop-loss resets when three adverse decisions occur in a row.

MMRS50 STOCHASTIC HORIZON

Mini Martingale (MMRS50) Over 50 Hands With a 20-Unit Bankroll

[MMRS50-MECHANICS] Staking protocol MMRS50 applies Mini Martingale (1-2-4 Capped) (1-2-4-reset) on Banker across 50 hands with a 20-unit stop-loss. Doubles through at most three steps (1u, 2u, 4u) and forcibly resets to 1u after a third consecutive loss. Fast 45-minute mini-baccarat or two-thirds shoe sprint with a compact 20-unit buy-in.

[MMRS50-EXPECTATION] By linearity of expectation, MMRS50 cannot alter the 8-deck 1.0579% Banker house edge: multiplying 86.0u cumulative action by −1.0579% locks in −0.91u expected drift with ±11.28u standard deviation. Caps single-sequence drawdown at 7 units while accepting periodic 7-unit stop-loss resets when three adverse decisions occur in a row. Remember that baccarat is an 18+ / 21+ game of chance; review /legal/responsible-gambling before setting session limits.

MMRS50 CheckpointMMRS50 HandsMMRS50 ActionMMRS50 EV DriftMMRS50 SD Band
MMRS50-Stage-110h [MMRS50]17.2u [MMRS50]-0.18u [MMRS50]±5.04u [MMRS50]
MMRS50-Stage-220h [MMRS50]34.4u [MMRS50]-0.36u [MMRS50]±7.13u [MMRS50]
MMRS50-Stage-330h [MMRS50]51.6u [MMRS50]-0.55u [MMRS50]±8.74u [MMRS50]
MMRS50-Stage-440h [MMRS50]68.8u [MMRS50]-0.73u [MMRS50]±10.09u [MMRS50]
MMRS50-Stage-550h [MMRS50]86.0u [MMRS50]-0.91u [MMRS50]±11.28u [MMRS50]
  • MMRS50 step sequence: 1-2-4-reset (1.72u mean bet size across 50 hands).
  • MMRS50 bankroll boundary: 20u starting stack faces 16.8% ruin risk and 83.2% survival probability.
  • MMRS50 road independence: Big Eye Boy and Small Road patterns on PPBBPPBB never change the −0.91u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Mini Martingale over 50 hands with 20 units changes the mathematical expectation of the shoe.
TruthEvery hand in MMRS50 faces the same 1.0579% Banker house edge; scaling bet sizes to 86.0u total action scales expected cost to −0.91u while reshaping variance (±11.28u 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