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COMBINATORIAL DEPLETION · 6D · RANK-6 · 50% DEPTH

6-Deck Six-Pip Card Depletion at 50% Penetration (Super 6 Audit DEP328)

Removing 14 of 24 Six-Pip Card (Rank-6) cards at 50% penetration of a 6-deck (312-card) shoe leaves 10 Rank-6 cards inside a 156-card stub (DEP328), producing 45.8618% Banker wins, 44.5933% Player wins, 9.5448% Ties, and a 1.4245% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4245%
Player EV (1:1)
-1.2685%
Rank-6 in 156-Card Stub
10/24
Single-Hand Std Dev
0.9363
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBPPBPBPBBPPBBPB) illustrating derived-road symmetry checks alongside DEP328 (6D Rank-6 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

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 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  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 2 beads. Different depth → blue (≠).

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

Stub Size (DEP328)
156 / 312 Cards

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

Rank-6 Remaining
10 of 24 Cards

14 6-pip cards (standing threshold and Banker 6 trigger) removed from the 6D pack.

Banker EV (Super 6)
-1.4245%

Resolved at 45.8618% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2685%

Resolved at 44.5933% Player win rate with 0.9363 unit standard deviation.

Tie Incidence (8:1)
9.5448%

Produces a 14.0964% house hold on the 8-to-1 Tie wager in state DEP328.

FINITE-SHOE ENUMERATION · DEP328

How Six-Pip Card Depletion at 50% Depth Impacts 6D (Super 6)

Under Super 6 settlement (Super 6), combinatorial state DEP328 models a 6D carrier with 156 cards left (50% dealt) and 10/24 Six-Pip Card cards remaining, producing a 1.4245% Banker edge versus 1.2685% on Player.

When 14 Rank-6 cards exit a 6D shoe by 50% penetration (DEP328, 10 left in 156 cards), removing 6-pip cards produces (dep328-rank-6) the strongest per-card shift toward (156c) the player side and reduces (dep328-rank-6·156c) barred banker 6 incidence, combining a -1.13 bps rank vector with Super 6 settlement (-1.4245% Banker EV).

State DEP328 (6D, 50% depth, 10/24 Rank-6 left, Super 6)
Wager / MetricState DEP328 Value6D BaselineSettlement Note
DEP328 Banker (Super 6)45.8618% (-1.4245% EV)45.8648%DEP328 6D 50% (10 Rank-6)
DEP328 Player (1:1)44.5933% (-1.2685% EV)44.5903%DEP328 156-card 6D stub (0.9363 SD)
DEP328 Tie (8:1)9.5448% (-14.0964% EV)9.5449%DEP328 Rank-6 (14 out, 10 in)
TABLEAU & SCOREBOARD SEPARATION · DEP328

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP328 · 6D)

For DEP328 (156 remaining cards in a 312-card 6D shoe at 50% depth), tracking all 14 exited Rank-6 cards moves Banker win rate to 45.8618% (-1.4245% EV, Super 6) and Player to 44.5933% (-1.2685% EV).

  • DEP328 (6D 50%): 156/312 cards with 10/24 Rank-6 (7A).
  • DEP328 (Rank-6 split): 45.8618% Banker, 44.5933% Player, 9.5448% Tie in 156 6D cards (7B).
  • DEP328 (Super 6 EV): -1.4245% Banker, -1.2685% Player, -14.0964% Tie, 0.9363 SD at 50% (7C).
  • DEP328 (6D roads): red/blue marks log Big Road columns, never 10 Rank-6 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 14 Six-Pip Card cards leave a 6D shoe by 50% depth (DEP328), 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 Rank-6 stub counts (10/24 in 156 cards); Banker carries a -1.4245% 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