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PROGRESSION SURVIVAL AUDIT · DALS80

D'Alembert Arithmetic (+1u / -1u) — 80-Hand Single Shoe (40u Bankroll) Survival & Ruin Proof

[DALS80] Increases the wager by +1 unit after a loss and reduces the wager by −1 unit (minimum 1u) after a win. 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 D'Alembert on Player (1.2351% house edge) generates 169.6 units of cumulative action, an expected mathematical cost of −2.09 units, ±18.04 units of standard deviation, and a 85.4% session survival rate (14.6% bankroll ruin risk).

DALS80 Action
169.6u
DALS80 Expected EV
-2.09u
DALS80 Session SD
±18.04u
DALS80 Survival
85.4%
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 = = ≠ ≠ ≠ = ≠ ≠ = =

DALS80 (D'Alembert · 80H / 40u) scoreboard sample. Derived-road red/blue marks never alter DALS80 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

DALS80 Staking Sequence
1-2-3-4-5-4-3

Increases the wager by +1 unit after a loss and reduces the wager by −1 unit (minimum 1u) after a win (Arithmetic Negative Progression).

DALS80 Cumulative Action
169.6u wagered

80 hands × 2.12u average stake multiplier.

DALS80 Expected Cost (EV)
-2.09u

Linear expectation across 169.6u action at 1.2351% Player edge.

DALS80 Session Dispersion
±18.04u SD

Volatility envelope over 80 deals against a 40u bankroll.

DALS80 Survival / Ruin Split
85.4% / 14.6%

Avoids exponential bet explosions but drifts into elevated 5u–10u flat exposure when Player losses outnumber wins over 50+ deals.

DALS80 STOCHASTIC HORIZON

D'Alembert (DALS80) Over 80 Hands With a 40-Unit Bankroll

[DALS80-MECHANICS] Staking protocol DALS80 applies D'Alembert Arithmetic (+1u / -1u) (1-2-3-4-5-4-3) on Player across 80 hands with a 40-unit stop-loss. Increases the wager by +1 unit after a loss and reduces the wager by −1 unit (minimum 1u) after a win. Complete 8-deck live shoe from burn card to cut card backed by a 40-unit session stack.

[DALS80-EXPECTATION] By linearity of expectation, DALS80 cannot alter the 8-deck 1.2351% Player house edge: multiplying 169.6u cumulative action by −1.2351% locks in −2.09u expected drift with ±18.04u standard deviation. Avoids exponential bet explosions but drifts into elevated 5u–10u flat exposure when Player losses outnumber wins over 50+ deals. Remember that baccarat is an 18+ / 21+ game of chance; review /legal/responsible-gambling before setting session limits.

DALS80 CheckpointDALS80 HandsDALS80 ActionDALS80 EV DriftDALS80 SD Band
DALS80-Stage-116h [DALS80]33.9u [DALS80]-0.42u [DALS80]±8.07u [DALS80]
DALS80-Stage-232h [DALS80]67.8u [DALS80]-0.84u [DALS80]±11.41u [DALS80]
DALS80-Stage-348h [DALS80]101.8u [DALS80]-1.26u [DALS80]±13.97u [DALS80]
DALS80-Stage-464h [DALS80]135.7u [DALS80]-1.68u [DALS80]±16.13u [DALS80]
DALS80-Stage-580h [DALS80]169.6u [DALS80]-2.09u [DALS80]±18.04u [DALS80]
  • DALS80 step sequence: 1-2-3-4-5-4-3 (2.12u mean bet size across 80 hands).
  • DALS80 bankroll boundary: 40u starting stack faces 14.6% ruin risk and 85.4% survival probability.
  • DALS80 road independence: Big Eye Boy and Small Road patterns on BBPPBBPP never change the −2.09u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning D'Alembert over 80 hands with 40 units changes the mathematical expectation of the shoe.
TruthEvery hand in DALS80 faces the same 1.2351% Player house edge; scaling bet sizes to 169.6u total action scales expected cost to −2.09u while reshaping variance (±18.04u 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