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PROGRESSION SURVIVAL AUDIT · CDLS160

Contra D'Alembert (+1u Win / -1u Loss) — 160-Hand Two-Shoe Session (50u Bankroll) Survival & Ruin Proof

[CDLS160] Adds +1 unit after each winning decision and subtracts −1 unit (down to 1u floor) after each 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 Contra D'Alembert on Banker (1.0579% house edge) generates 284.8 units of cumulative action, an expected mathematical cost of −3.01 units, ±20.88 units of standard deviation, and a 85.6% session survival rate (14.4% bankroll ruin risk).

CDLS160 Action
284.8u
CDLS160 Expected EV
-3.01u
CDLS160 Session SD
±20.88u
CDLS160 Survival
85.6%
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 = = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠

CDLS160 (Contra D'Alembert · 160H / 50u) scoreboard sample. Derived-road red/blue marks never alter CDLS160 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

CDLS160 Staking Sequence
1-2-3-4-3-2-1

Adds +1 unit after each winning decision and subtracts −1 unit (down to 1u floor) after each loss (Arithmetic Positive Progression).

CDLS160 Cumulative Action
284.8u wagered

160 hands × 1.78u average stake multiplier.

CDLS160 Expected Cost (EV)
-3.01u

Linear expectation across 284.8u action at 1.0579% Banker edge.

CDLS160 Session Dispersion
±20.88u SD

Volatility envelope over 160 deals against a 50u bankroll.

CDLS160 Survival / Ruin Split
85.6% / 14.4%

Scales exposure gradually during Banker clusters while keeping maximum drawdown far below geometric doubling plans.

CDLS160 STOCHASTIC HORIZON

Contra D'Alembert (CDLS160) Over 160 Hands With a 50-Unit Bankroll

[CDLS160-MECHANICS] Staking protocol CDLS160 applies Contra D'Alembert (+1u Win / -1u Loss) (1-2-3-4-3-2-1) on Banker across 160 hands with a 50-unit stop-loss. Adds +1 unit after each winning decision and subtracts −1 unit (down to 1u floor) after each loss. Back-to-back two-shoe floor session testing progression endurance under a 50-unit stop-loss.

[CDLS160-EXPECTATION] By linearity of expectation, CDLS160 cannot alter the 8-deck 1.0579% Banker house edge: multiplying 284.8u cumulative action by −1.0579% locks in −3.01u expected drift with ±20.88u standard deviation. Scales exposure gradually during Banker clusters while keeping maximum drawdown far below geometric doubling plans. Remember that baccarat is an 18+ / 21+ game of chance; review /legal/responsible-gambling before setting session limits.

CDLS160 CheckpointCDLS160 HandsCDLS160 ActionCDLS160 EV DriftCDLS160 SD Band
CDLS160-Stage-132h [CDLS160]57.0u [CDLS160]-0.60u [CDLS160]±9.34u [CDLS160]
CDLS160-Stage-264h [CDLS160]113.9u [CDLS160]-1.21u [CDLS160]±13.21u [CDLS160]
CDLS160-Stage-396h [CDLS160]170.9u [CDLS160]-1.81u [CDLS160]±16.17u [CDLS160]
CDLS160-Stage-4128h [CDLS160]227.8u [CDLS160]-2.41u [CDLS160]±18.68u [CDLS160]
CDLS160-Stage-5160h [CDLS160]284.8u [CDLS160]-3.01u [CDLS160]±20.88u [CDLS160]
  • CDLS160 step sequence: 1-2-3-4-3-2-1 (1.78u mean bet size across 160 hands).
  • CDLS160 bankroll boundary: 50u starting stack faces 14.4% ruin risk and 85.6% survival probability.
  • CDLS160 road independence: Big Eye Boy and Small Road patterns on BPBPBPBB never change the −3.01u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Contra D'Alembert over 160 hands with 50 units changes the mathematical expectation of the shoe.
TruthEvery hand in CDLS160 faces the same 1.0579% Banker house edge; scaling bet sizes to 284.8u total action scales expected cost to −3.01u while reshaping variance (±20.88u 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