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COMBINATORIAL DEPLETION · 6D · RANK-5 · 50% DEPTH

6-Deck Five-Pip Card Depletion at 50% Penetration (Super 6 Audit DEP319)

Removing 14 of 24 Five-Pip Card (Rank-5) cards at 50% penetration of a 6-deck (312-card) shoe leaves 10 Rank-5 cards inside a 156-card stub (DEP319), producing 45.8626% Banker wins, 44.5926% Player wins, 9.5448% Ties, and a 1.4230% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4230%
Player EV (1:1)
-1.2700%
Rank-5 in 156-Card Stub
10/24
Single-Hand Std Dev
0.9360
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 P B B P B
Big Eye Boy = = = = = = ≠ = = = = = = =
Small Road = = = = = = ≠ ≠ = = = =
Cockroach Pig = = = = = = ≠ ≠ ≠ =

Reference shoe scoreboard (BBPPBBPPBBPPBPTBPB) illustrating derived-road symmetry checks alongside DEP319 (6D Rank-5 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 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

Stub Size (DEP319)
156 / 312 Cards

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

Rank-5 Remaining
10 of 24 Cards

14 5-pip cards (final mandatory Player draw threshold) removed from the 6D pack.

Banker EV (Super 6)
-1.4230%

Resolved at 45.8626% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2700%

Resolved at 44.5926% Player win rate with 0.9360 unit standard deviation.

Tie Incidence (8:1)
9.5448%

Produces a 14.0964% house hold on the 8-to-1 Tie wager in state DEP319.

FINITE-SHOE ENUMERATION · DEP319

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

Removing 14 of 24 Rank-5 cards by the 50% mark of a 6-deck shoe (DEP319, 156 cards left) leaves 10 Five-Pip Card cards and adjusts conditional probabilities to 45.8626% Banker, 44.5926% Player, and 9.5448% Tie under Super 6.

Because fewer 5s in the (dep319-rank-5) stub reduce banker third-card improvements (156c) from 3 to 8 and (dep319-rank-5·156c) from 4 to 9, state DEP319 (50% 6D depth, 14 Rank-5 removed, 10 in 156 cards) registers a -0.84 bps rank derivative and 1.4230% Banker house edge (Super 6).

State DEP319 (6D, 50% depth, 10/24 Rank-5 left, Super 6)
Wager / MetricState DEP319 Value6D BaselineSettlement Note
DEP319 Banker (Super 6)45.8626% (-1.4230% EV)45.8648%DEP319 6D 50% (10 Rank-5)
DEP319 Player (1:1)44.5926% (-1.2700% EV)44.5903%DEP319 156-card 6D stub (0.9360 SD)
DEP319 Tie (8:1)9.5448% (-14.0964% EV)9.5449%DEP319 Rank-5 (14 out, 10 in)
TABLEAU & SCOREBOARD SEPARATION · DEP319

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP319 · 6D)

In DEP319, the 156-card 6D stub (50% penetration, 14 of 24 Rank-5 dealt) yields 45.8626% Banker, 44.5926% Player, and 9.5448% Tie outcomes with 0.9360 dispersion under Super 6.

  • DEP319 (6D 50%): 156/312 cards with 10/24 Rank-5 (4A).
  • DEP319 (Rank-5 split): 45.8626% Banker, 44.5926% Player, 9.5448% Tie in 156 6D cards (4B).
  • DEP319 (Super 6 EV): -1.4230% Banker, -1.2700% Player, -14.0964% Tie, 0.9360 SD at 50% (4C).
  • DEP319 (6D roads): red/blue marks log Big Road columns, never 10 Rank-5 stub count (4D).
Table Reality Check

Myth vs. Truth

MythWhen 14 Five-Pip Card cards leave a 6D shoe by 50% depth (DEP319), 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-5 stub counts (10/24 in 156 cards); Banker carries a -1.4230% expectation under Super 6.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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  • 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