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PROGRESSION SURVIVAL AUDIT · MMRS160

Mini Martingale (1-2-4 Capped) — 160-Hand Two-Shoe Session (50u Bankroll) Survival & Ruin Proof

[MMRS160] Doubles through at most three steps (1u, 2u, 4u) and forcibly resets to 1u after a third consecutive loss. Across 160-Hand Two-Shoe Session (50u Bankroll) (Back-to-back two-shoe floor session testing progression endurance under a 50-unit stop-loss), staking Mini Martingale on Banker (1.0579% house edge) generates 275.2 units of cumulative action, an expected mathematical cost of −2.91 units, ±20.18 units of standard deviation, and a 86.1% session survival rate (13.9% bankroll ruin risk).

MMRS160 Action
275.2u
MMRS160 Expected EV
-2.91u
MMRS160 Session SD
±20.18u
MMRS160 Survival
86.1%
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 = = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠

MMRS160 (Mini Martingale · 160H / 50u) scoreboard sample. Derived-road red/blue marks never alter MMRS160 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

MMRS160 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).

MMRS160 Cumulative Action
275.2u wagered

160 hands × 1.72u average stake multiplier.

MMRS160 Expected Cost (EV)
-2.91u

Linear expectation across 275.2u action at 1.0579% Banker edge.

MMRS160 Session Dispersion
±20.18u SD

Volatility envelope over 160 deals against a 50u bankroll.

MMRS160 Survival / Ruin Split
86.1% / 13.9%

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

MMRS160 STOCHASTIC HORIZON

Mini Martingale (MMRS160) Over 160 Hands With a 50-Unit Bankroll

[MMRS160-MECHANICS] Staking protocol MMRS160 applies Mini Martingale (1-2-4 Capped) (1-2-4-reset) on Banker across 160 hands with a 50-unit stop-loss. Doubles through at most three steps (1u, 2u, 4u) and forcibly resets to 1u after a third consecutive loss. Back-to-back two-shoe floor session testing progression endurance under a 50-unit stop-loss.

[MMRS160-EXPECTATION] By linearity of expectation, MMRS160 cannot alter the 8-deck 1.0579% Banker house edge: multiplying 275.2u cumulative action by −1.0579% locks in −2.91u expected drift with ±20.18u 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.

MMRS160 CheckpointMMRS160 HandsMMRS160 ActionMMRS160 EV DriftMMRS160 SD Band
MMRS160-Stage-132h [MMRS160]55.0u [MMRS160]-0.58u [MMRS160]±9.02u [MMRS160]
MMRS160-Stage-264h [MMRS160]110.1u [MMRS160]-1.16u [MMRS160]±12.76u [MMRS160]
MMRS160-Stage-396h [MMRS160]165.1u [MMRS160]-1.75u [MMRS160]±15.63u [MMRS160]
MMRS160-Stage-4128h [MMRS160]220.2u [MMRS160]-2.33u [MMRS160]±18.05u [MMRS160]
MMRS160-Stage-5160h [MMRS160]275.2u [MMRS160]-2.91u [MMRS160]±20.18u [MMRS160]
  • MMRS160 step sequence: 1-2-4-reset (1.72u mean bet size across 160 hands).
  • MMRS160 bankroll boundary: 50u starting stack faces 13.9% ruin risk and 86.1% survival probability.
  • MMRS160 road independence: Big Eye Boy and Small Road patterns on PBPBPBPP never change the −2.91u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Mini Martingale over 160 hands with 50 units changes the mathematical expectation of the shoe.
TruthEvery hand in MMRS160 faces the same 1.0579% Banker house edge; scaling bet sizes to 275.2u total action scales expected cost to −2.91u while reshaping variance (±20.18u 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