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COMBINATORIAL DEPLETION · 6D · RANK-0 · 50% DEPTH

6-Deck 0-Value Tens & Faces Depletion at 50% Penetration (Super 6 Audit DEP274)

Removing 55 of 96 0-Value Tens & Faces (Rank-0) cards at 50% penetration of a 6-deck (312-card) shoe leaves 41 Rank-0 cards inside a 156-card stub (DEP274), producing 45.8667% Banker wins, 44.5883% Player wins, 9.5450% Ties, and a 1.4147% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4147%
Player EV (1:1)
-1.2783%
Rank-0 in 156-Card Stub
41/96
Single-Hand Std Dev
0.9345
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 B P P B B P B P B B P
Big Eye Boy = = = = = = ≠ = = = = ≠ ≠ = =
Small Road = = = = = = ≠ ≠ = = = ≠ ≠
Cockroach Pig = = = = = = ≠ ≠ ≠ ≠ ≠

Reference shoe scoreboard (PPBBPPBBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP274 (6D Rank-0 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 (DEP274)
156 / 312 Cards

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

Rank-0 Remaining
41 of 96 Cards

55 10, Jack, Queen, and King (zero-point cards) removed from the 6D pack.

Banker EV (Super 6)
-1.4147%

Resolved at 45.8667% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2783%

Resolved at 44.5883% Player win rate with 0.9345 unit standard deviation.

Tie Incidence (8:1)
9.5450%

Produces a 14.0950% house hold on the 8-to-1 Tie wager in state DEP274.

FINITE-SHOE ENUMERATION · DEP274

How 0-Value Tens & Faces Depletion at 50% Depth Impacts 6D (Super 6)

Within six-deck Mini-Baccarat and Midi-Baccarat North American floors, profile DEP274 examines 50% shoe depletion (156 of 312 cards remaining) after 55 Rank-0 cards exit, leaving 41 0-Value Tens & Faces cards and a 1.4147% Banker house hold under Super 6.

In six-card resolution tree DEP274 (6D at 50% depth, 156 cards left), fewer zero-value draws mean (dep274-rank-0) third-card pulls change running totals (156c) more frequently instead of leaving (dep274-rank-0·156c) totals unchanged; removing 55 of 96 Rank-0 cards (+0.18 bps weight) leaves Banker at -1.4147% EV under Super 6.

State DEP274 (6D, 50% depth, 41/96 Rank-0 left, Super 6)
Wager / MetricState DEP274 Value6D BaselineSettlement Note
DEP274 Banker (Super 6)45.8667% (-1.4147% EV)45.8648%DEP274 6D 50% (41 Rank-0)
DEP274 Player (1:1)44.5883% (-1.2783% EV)44.5903%DEP274 156-card 6D stub (0.9345 SD)
DEP274 Tie (8:1)9.5450% (-14.0950% EV)9.5449%DEP274 Rank-0 (55 out, 41 in)
TABLEAU & SCOREBOARD SEPARATION · DEP274

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP274 · 6D)

In DEP274, the 156-card 6D stub (50% penetration, 55 of 96 Rank-0 dealt) yields 45.8667% Banker, 44.5883% Player, and 9.5450% Tie outcomes with 0.9345 dispersion under Super 6.

  • DEP274 (6D 50%): 156/312 cards with 41/96 Rank-0 (3A).
  • DEP274 (Rank-0 split): 45.8667% Banker, 44.5883% Player, 9.5450% Tie in 156 6D cards (3B).
  • DEP274 (Super 6 EV): -1.4147% Banker, -1.2783% Player, -14.0950% Tie, 0.9345 SD at 50% (3C).
  • DEP274 (6D roads): red/blue marks log Big Road columns, never 41 Rank-0 stub count (3D).
Table Reality Check

Myth vs. Truth

MythWhen 55 0-Value Tens & Faces cards leave a 6D shoe by 50% depth (DEP274), 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-0 stub counts (41/96 in 156 cards); Banker carries a -1.4147% 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