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COMBINATORIAL DEPLETION · 6D · ACE-1 · 50% DEPTH

6-Deck Ace (1-Point Pip) Depletion at 50% Penetration (Super 6 Audit DEP283)

Removing 14 of 24 Ace (1-Point Pip) (Ace-1) cards at 50% penetration of a 6-deck (312-card) shoe leaves 10 Ace-1 cards inside a 156-card stub (DEP283), producing 45.8660% Banker wins, 44.5891% Player wins, 9.5449% Ties, and a 1.4161% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4161%
Player EV (1:1)
-1.2769%
Ace-1 in 156-Card Stub
10/24
Single-Hand Std Dev
0.9348
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPBBBBPPPPBBPPBP) illustrating derived-road symmetry checks alongside DEP283 (6D Ace-1 at 50% depth).

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

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

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 stopped at Row 2, one row above → blue (≠).

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

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

Stub Size (DEP283)
156 / 312 Cards

50% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Ace-1 Remaining
10 of 24 Cards

14 Ace cards valued at 1 modulo-10 point removed from the 6D pack.

Banker EV (Super 6)
-1.4161%

Resolved at 45.8660% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2769%

Resolved at 44.5891% Player win rate with 0.9348 unit standard deviation.

Tie Incidence (8:1)
9.5449%

Produces a 14.0957% house hold on the 8-to-1 Tie wager in state DEP283.

FINITE-SHOE ENUMERATION · DEP283

How Ace (1-Point Pip) Depletion at 50% Depth Impacts 6D (Super 6)

When a 6D shoe reaches 50% cut-card depth (156 of 312 cards undealt, state DEP283) with 14 Ace (1-Point Pip) cards removed and 10 remaining, Player wins 44.5891% (1.2769% edge) while Banker wins 45.8660% (1.4161% edge under Super 6).

Because when fewer aces remain, (dep283-ace-1) player 7 and 8 third-card (156c) transitions from 6 and 7 (dep283-ace-1·156c) occur less often during six-card resolutions, state DEP283 (50% 6D depth, 14 Ace-1 removed, 10 in 156 cards) registers a +0.44 bps rank derivative and 1.4161% Banker house edge (Super 6).

State DEP283 (6D, 50% depth, 10/24 Ace-1 left, Super 6)
Wager / MetricState DEP283 Value6D BaselineSettlement Note
DEP283 Banker (Super 6)45.8660% (-1.4161% EV)45.8648%DEP283 6D 50% (10 Ace-1)
DEP283 Player (1:1)44.5891% (-1.2769% EV)44.5903%DEP283 156-card 6D stub (0.9348 SD)
DEP283 Tie (8:1)9.5449% (-14.0957% EV)9.5449%DEP283 Ace-1 (14 out, 10 in)
TABLEAU & SCOREBOARD SEPARATION · DEP283

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP283 · 6D)

For DEP283 (156 remaining cards in a 312-card 6D shoe at 50% depth), tracking all 14 exited Ace-1 cards moves Banker win rate to 45.8660% (-1.4161% EV, Super 6) and Player to 44.5891% (-1.2769% EV).

  • DEP283 (6D 50%): 156/312 cards with 10/24 Ace-1 (6A).
  • DEP283 (Ace-1 split): 45.8660% Banker, 44.5891% Player, 9.5449% Tie in 156 6D cards (6B).
  • DEP283 (Super 6 EV): -1.4161% Banker, -1.2769% Player, -14.0957% Tie, 0.9348 SD at 50% (6C).
  • DEP283 (6D roads): red/blue marks log Big Road columns, never 10 Ace-1 stub count (6D).
Table Reality Check

Myth vs. Truth

MythWhen 14 Ace (1-Point Pip) cards leave a 6D shoe by 50% depth (DEP283), Big Eye Boy red or blue marks show whether Banker or Player will win next.
TruthDerived-road red and blue marks only compare Big Road column lengths and never track Ace-1 stub counts (10/24 in 156 cards); Banker carries a -1.4161% expectation under Super 6.
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