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PROGRESSION SURVIVAL AUDIT · MMRS80

Mini Martingale (1-2-4 Capped) — 80-Hand Single Shoe (40u Bankroll) Survival & Ruin Proof

[MMRS80] Doubles through at most three steps (1u, 2u, 4u) and forcibly resets to 1u after a third consecutive loss. Across 80-Hand Single Shoe (40u Bankroll) (Complete 8-deck live shoe from burn card to cut card backed by a 40-unit session stack), staking Mini Martingale on Banker (1.0579% house edge) generates 137.6 units of cumulative action, an expected mathematical cost of −1.46 units, ±14.27 units of standard deviation, and a 88.6% session survival rate (11.4% bankroll ruin risk).

MMRS80 Action
137.6u
MMRS80 Expected EV
-1.46u
MMRS80 Session SD
±14.27u
MMRS80 Survival
88.6%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

MMRS80 (Mini Martingale · 80H / 40u) scoreboard sample. Derived-road red/blue marks never alter MMRS80 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

MMRS80 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).

MMRS80 Cumulative Action
137.6u wagered

80 hands × 1.72u average stake multiplier.

MMRS80 Expected Cost (EV)
-1.46u

Linear expectation across 137.6u action at 1.0579% Banker edge.

MMRS80 Session Dispersion
±14.27u SD

Volatility envelope over 80 deals against a 40u bankroll.

MMRS80 Survival / Ruin Split
88.6% / 11.4%

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

MMRS80 STOCHASTIC HORIZON

Mini Martingale (MMRS80) Over 80 Hands With a 40-Unit Bankroll

[MMRS80-MECHANICS] Staking protocol MMRS80 applies Mini Martingale (1-2-4 Capped) (1-2-4-reset) on Banker across 80 hands with a 40-unit stop-loss. Doubles through at most three steps (1u, 2u, 4u) and forcibly resets to 1u after a third consecutive loss. Complete 8-deck live shoe from burn card to cut card backed by a 40-unit session stack.

[MMRS80-EXPECTATION] By linearity of expectation, MMRS80 cannot alter the 8-deck 1.0579% Banker house edge: multiplying 137.6u cumulative action by −1.0579% locks in −1.46u expected drift with ±14.27u 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.

MMRS80 CheckpointMMRS80 HandsMMRS80 ActionMMRS80 EV DriftMMRS80 SD Band
MMRS80-Stage-116h [MMRS80]27.5u [MMRS80]-0.29u [MMRS80]±6.38u [MMRS80]
MMRS80-Stage-232h [MMRS80]55.0u [MMRS80]-0.58u [MMRS80]±9.02u [MMRS80]
MMRS80-Stage-348h [MMRS80]82.6u [MMRS80]-0.87u [MMRS80]±11.05u [MMRS80]
MMRS80-Stage-464h [MMRS80]110.1u [MMRS80]-1.16u [MMRS80]±12.76u [MMRS80]
MMRS80-Stage-580h [MMRS80]137.6u [MMRS80]-1.46u [MMRS80]±14.27u [MMRS80]
  • MMRS80 step sequence: 1-2-4-reset (1.72u mean bet size across 80 hands).
  • MMRS80 bankroll boundary: 40u starting stack faces 11.4% ruin risk and 88.6% survival probability.
  • MMRS80 road independence: Big Eye Boy and Small Road patterns on BBPBBPBB never change the −1.46u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Mini Martingale over 80 hands with 40 units changes the mathematical expectation of the shoe.
TruthEvery hand in MMRS80 faces the same 1.0579% Banker house edge; scaling bet sizes to 137.6u total action scales expected cost to −1.46u while reshaping variance (±14.27u 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