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COMBINATORIAL DEPLETION · 8D · RANK-0 · 80% DEPTH

8-Deck 0-Value Tens & Faces Depletion at 80% Penetration (Super 6 Audit DEP368)

Removing 118 of 128 0-Value Tens & Faces (Rank-0) cards at 80% penetration of a 8-deck (416-card) shoe leaves 10 Rank-0 cards inside a 83-card stub (DEP368), producing 45.8632% Banker wins, 44.6210% Player wins, 9.5158% Ties, and a 1.4507% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4507%
Player EV (1:1)
-1.2423%
Rank-0 in 83-Card Stub
10/128
Single-Hand Std Dev
0.9375
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
Big Eye Boy = = = = = = ≠ ≠ ≠ ≠ = = = =
Small Road = = = = = = ≠ = = = = =
Cockroach Pig = = = = = = ≠ = = ≠

Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) illustrating derived-road symmetry checks alongside DEP368 (8D Rank-0 at 80% 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 (DEP368)
83 / 416 Cards

80% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).

Rank-0 Remaining
10 of 128 Cards

118 10, Jack, Queen, and King (zero-point cards) removed from the 8D pack.

Banker EV (Super 6)
-1.4507%

Resolved at 45.8632% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2423%

Resolved at 44.6210% Player win rate with 0.9375 unit standard deviation.

Tie Incidence (8:1)
9.5158%

Produces a 14.3578% house hold on the 8-to-1 Tie wager in state DEP368.

FINITE-SHOE ENUMERATION · DEP368

How 0-Value Tens & Faces Depletion at 80% Depth Impacts 8D (Super 6)

Finite-shoe specification DEP368 tracks Rank-0 removal at 80% depth in 8-deck play: with 10 of 128 0-Value Tens & Faces cards left in the 83-card stub, Tie incidence is 9.5158% and Banker expectation settles at -1.4507% (Super 6).

Under the fixed third-card tableau for DEP368, depleting zero-point cards reduces (dep368) modulo-10 standoffs and alters two-card (8d-80%) natural combinations paired with 8s (dep368·8d-80%) and 9s. With 10 Rank-0 cards inside 83 remaining 8D cards (80% dealt), single-card slope (+0.18 bps) keeps Banker house edge at 1.4507% and Player at 1.2423%.

State DEP368 (8D, 80% depth, 10/128 Rank-0 left, Super 6)
Wager / MetricState DEP368 Value8D BaselineSettlement Note
DEP368 Banker (Super 6)45.8632% (-1.4507% EV)45.8597%DEP368 8D 80% (10 Rank-0)
DEP368 Player (1:1)44.6210% (-1.2423% EV)44.6247%DEP368 83-card 8D stub (0.9375 SD)
DEP368 Tie (8:1)9.5158% (-14.3578% EV)9.5156%DEP368 Rank-0 (118 out, 10 in)
TABLEAU & SCOREBOARD SEPARATION · DEP368

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP368 · 8D)

Synthesizing DEP368 (8D at 80% depth, 10 0-Value Tens & Faces cards left inside 83 stub cards): Super 6 rules produce a 1.4507% Banker edge, 1.2423% Player edge, 14.3578% Tie edge, and 0.9375 unit volatility.

  • DEP368 (8D 80%): 83/416 cards with 10/128 Rank-0 (4A).
  • DEP368 (Rank-0 split): 45.8632% Banker, 44.6210% Player, 9.5158% Tie in 83 8D cards (4B).
  • DEP368 (Super 6 EV): -1.4507% Banker, -1.2423% Player, -14.3578% Tie, 0.9375 SD at 80% (4C).
  • DEP368 (8D roads): red/blue marks log Big Road columns, never 10 Rank-0 stub count (4D).
Table Reality Check

Myth vs. Truth

MythWhen 118 0-Value Tens & Faces cards leave a 8D shoe by 80% depth (DEP368), 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 (10/128 in 83 cards); Banker carries a -1.4507% 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