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PROGRESSION SURVIVAL AUDIT · CDLS50

Contra D'Alembert (+1u Win / -1u Loss) — 50-Hand Sprint (20u Bankroll) Survival & Ruin Proof

[CDLS50] Adds +1 unit after each winning decision and subtracts −1 unit (down to 1u floor) after each 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 Contra D'Alembert on Banker (1.0579% house edge) generates 89.0 units of cumulative action, an expected mathematical cost of −0.94 units, ±11.67 units of standard deviation, and a 82.6% session survival rate (17.4% bankroll ruin risk).

CDLS50 Action
89.0u
CDLS50 Expected EV
-0.94u
CDLS50 Session SD
±11.67u
CDLS50 Survival
82.6%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

CDLS50 (Contra D'Alembert · 50H / 20u) scoreboard sample. Derived-road red/blue marks never alter CDLS50 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

CDLS50 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).

CDLS50 Cumulative Action
89.0u wagered

50 hands × 1.78u average stake multiplier.

CDLS50 Expected Cost (EV)
-0.94u

Linear expectation across 89.0u action at 1.0579% Banker edge.

CDLS50 Session Dispersion
±11.67u SD

Volatility envelope over 50 deals against a 20u bankroll.

CDLS50 Survival / Ruin Split
82.6% / 17.4%

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

CDLS50 STOCHASTIC HORIZON

Contra D'Alembert (CDLS50) Over 50 Hands With a 20-Unit Bankroll

[CDLS50-MECHANICS] Staking protocol CDLS50 applies Contra D'Alembert (+1u Win / -1u Loss) (1-2-3-4-3-2-1) on Banker across 50 hands with a 20-unit stop-loss. Adds +1 unit after each winning decision and subtracts −1 unit (down to 1u floor) after each loss. Fast 45-minute mini-baccarat or two-thirds shoe sprint with a compact 20-unit buy-in.

[CDLS50-EXPECTATION] By linearity of expectation, CDLS50 cannot alter the 8-deck 1.0579% Banker house edge: multiplying 89.0u cumulative action by −1.0579% locks in −0.94u expected drift with ±11.67u 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.

CDLS50 CheckpointCDLS50 HandsCDLS50 ActionCDLS50 EV DriftCDLS50 SD Band
CDLS50-Stage-110h [CDLS50]17.8u [CDLS50]-0.19u [CDLS50]±5.22u [CDLS50]
CDLS50-Stage-220h [CDLS50]35.6u [CDLS50]-0.38u [CDLS50]±7.38u [CDLS50]
CDLS50-Stage-330h [CDLS50]53.4u [CDLS50]-0.56u [CDLS50]±9.04u [CDLS50]
CDLS50-Stage-440h [CDLS50]71.2u [CDLS50]-0.75u [CDLS50]±10.44u [CDLS50]
CDLS50-Stage-550h [CDLS50]89.0u [CDLS50]-0.94u [CDLS50]±11.67u [CDLS50]
  • CDLS50 step sequence: 1-2-3-4-3-2-1 (1.78u mean bet size across 50 hands).
  • CDLS50 bankroll boundary: 20u starting stack faces 17.4% ruin risk and 82.6% survival probability.
  • CDLS50 road independence: Big Eye Boy and Small Road patterns on BBPPBBPP never change the −0.94u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Contra D'Alembert over 50 hands with 20 units changes the mathematical expectation of the shoe.
TruthEvery hand in CDLS50 faces the same 1.0579% Banker house edge; scaling bet sizes to 89.0u total action scales expected cost to −0.94u while reshaping variance (±11.67u 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