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PROGRESSION SURVIVAL AUDIT · MMRS250

Mini Martingale (1-2-4 Capped) — 250-Hand Weekend Horizon (100u Bankroll) Survival & Ruin Proof

[MMRS250] Doubles through at most three steps (1u, 2u, 4u) and forcibly resets to 1u after a third consecutive loss. Across 250-Hand Weekend Horizon (100u Bankroll) (Three-plus shoe weekend trip horizon backed by a full 100-unit session bankroll), staking Mini Martingale on Banker (1.0579% house edge) generates 430.0 units of cumulative action, an expected mathematical cost of −4.55 units, ±25.22 units of standard deviation, and a 89.0% session survival rate (11.0% bankroll ruin risk).

MMRS250 Action
430.0u
MMRS250 Expected EV
-4.55u
MMRS250 Session SD
±25.22u
MMRS250 Survival
89.0%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

MMRS250 (Mini Martingale · 250H / 100u) scoreboard sample. Derived-road red/blue marks never alter MMRS250 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 3. Column 1 has a bead at Row 3 too → red (=).

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 has a bead at Row 3 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Small Road Mark #2

This bead is at Row 3. Column 1 has a bead at Row 3 too → red (=).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 has a bead at Row 3 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #2

This bead is at Row 3. Column 1 has a bead at Row 3 too → red (=).

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 has a bead at Row 3 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

MMRS250 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).

MMRS250 Cumulative Action
430.0u wagered

250 hands × 1.72u average stake multiplier.

MMRS250 Expected Cost (EV)
-4.55u

Linear expectation across 430.0u action at 1.0579% Banker edge.

MMRS250 Session Dispersion
±25.22u SD

Volatility envelope over 250 deals against a 100u bankroll.

MMRS250 Survival / Ruin Split
89.0% / 11.0%

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

MMRS250 STOCHASTIC HORIZON

Mini Martingale (MMRS250) Over 250 Hands With a 100-Unit Bankroll

[MMRS250-MECHANICS] Staking protocol MMRS250 applies Mini Martingale (1-2-4 Capped) (1-2-4-reset) on Banker across 250 hands with a 100-unit stop-loss. Doubles through at most three steps (1u, 2u, 4u) and forcibly resets to 1u after a third consecutive loss. Three-plus shoe weekend trip horizon backed by a full 100-unit session bankroll.

[MMRS250-EXPECTATION] By linearity of expectation, MMRS250 cannot alter the 8-deck 1.0579% Banker house edge: multiplying 430.0u cumulative action by −1.0579% locks in −4.55u expected drift with ±25.22u 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.

MMRS250 CheckpointMMRS250 HandsMMRS250 ActionMMRS250 EV DriftMMRS250 SD Band
MMRS250-Stage-150h [MMRS250]86.0u [MMRS250]-0.91u [MMRS250]±11.28u [MMRS250]
MMRS250-Stage-2100h [MMRS250]172.0u [MMRS250]-1.82u [MMRS250]±15.95u [MMRS250]
MMRS250-Stage-3150h [MMRS250]258.0u [MMRS250]-2.73u [MMRS250]±19.54u [MMRS250]
MMRS250-Stage-4200h [MMRS250]344.0u [MMRS250]-3.64u [MMRS250]±22.56u [MMRS250]
MMRS250-Stage-5250h [MMRS250]430.0u [MMRS250]-4.55u [MMRS250]±25.22u [MMRS250]
  • MMRS250 step sequence: 1-2-4-reset (1.72u mean bet size across 250 hands).
  • MMRS250 bankroll boundary: 100u starting stack faces 11.0% ruin risk and 89.0% survival probability.
  • MMRS250 road independence: Big Eye Boy and Small Road patterns on BBBPPPBB never change the −4.55u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Mini Martingale over 250 hands with 100 units changes the mathematical expectation of the shoe.
TruthEvery hand in MMRS250 faces the same 1.0579% Banker house edge; scaling bet sizes to 430.0u total action scales expected cost to −4.55u while reshaping variance (±25.22u 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