Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math Hub
  3. 2D Rank-0 Depletion at 80% Depth (Super 6)
COMBINATORIAL DEPLETION · 2D · RANK-0 · 80% DEPTH

2-Deck 0-Value Tens & Faces Depletion at 80% Penetration (Super 6 Audit DEP098)

Removing 29 of 32 0-Value Tens & Faces (Rank-0) cards at 80% penetration of a 2-deck (104-card) shoe leaves 3 Rank-0 cards inside a 21-card stub (DEP098), producing 45.9033% Banker wins, 44.5639% Player wins, 9.5328% Ties, and a 1.3536% Banker house edge under Super 6.

Banker EV (Super 6)
-1.3536%
Player EV (1:1)
-1.3394%
Rank-0 in 21-Card Stub
3/32
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 B P
Big Eye Boy = = = = = = ≠ = = = = ≠ ≠ = =
Small Road = = = = = = ≠ ≠ = = = ≠ ≠
Cockroach Pig = = = = = = ≠ ≠ ≠ ≠ ≠

Reference shoe scoreboard (PPBBPPBBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP098 (2D 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 (DEP098)
21 / 104 Cards

80% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).

Rank-0 Remaining
3 of 32 Cards

29 10, Jack, Queen, and King (zero-point cards) removed from the 2D pack.

Banker EV (Super 6)
-1.3536%

Resolved at 45.9033% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.3394%

Resolved at 44.5639% Player win rate with 0.9375 unit standard deviation.

Tie Incidence (8:1)
9.5328%

Produces a 14.2049% house hold on the 8-to-1 Tie wager in state DEP098.

FINITE-SHOE ENUMERATION · DEP098

How 0-Value Tens & Faces Depletion at 80% Depth Impacts 2D (Super 6)

Quantitative proof DEP098 documents 2D rank depletion at 80% depth: 29 exited Rank-0 cards leave 3 of 32 in the 21-card stub, generating 45.9033% Banker wins (-1.3536% EV under Super 6) and 44.5639% Player wins.

In 2D audit DEP098 (21/104 stub at 80% depth), fewer zero-value draws mean (dep098-rank-0) third-card pulls change running totals (21c) more frequently instead of leaving (dep098-rank-0·21c) totals unchanged. Removing 29 Rank-0 cards (+0.18 bps per card) alongside Super 6 rules sets Tie hold to 14.2049% (9.5328% frequency).

State DEP098 (2D, 80% depth, 3/32 Rank-0 left, Super 6)
Wager / MetricState DEP098 Value2D BaselineSettlement Note
DEP098 Banker (Super 6)45.9033% (-1.3536% EV)45.8998%DEP098 2D 80% (3 Rank-0)
DEP098 Player (1:1)44.5639% (-1.3394% EV)44.5676%DEP098 21-card 2D stub (0.9375 SD)
DEP098 Tie (8:1)9.5328% (-14.2049% EV)9.5326%DEP098 Rank-0 (29 out, 3 in)
TABLEAU & SCOREBOARD SEPARATION · DEP098

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP098 · 2D)

Whether DEP098 is observed in double-deck European salon privé carriers and two-deck shoe pits at 80% depth (21/104 cards left, 3 Rank-0 remaining), Super 6 settlement locks Banker EV at -1.3536% and Player EV at -1.3394% with 9.5328% Ties.

  • DEP098 (2D 80%): 21/104 cards with 3/32 Rank-0 (5A).
  • DEP098 (Rank-0 split): 45.9033% Banker, 44.5639% Player, 9.5328% Tie in 21 2D cards (5B).
  • DEP098 (Super 6 EV): -1.3536% Banker, -1.3394% Player, -14.2049% Tie, 0.9375 SD at 80% (5C).
  • DEP098 (2D roads): red/blue marks log Big Road columns, never 3 Rank-0 stub count (5D).
Table Reality Check

Myth vs. Truth

MythWhen 29 0-Value Tens & Faces cards leave a 2D shoe by 80% depth (DEP098), 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 (3/32 in 21 cards); Banker carries a -1.3536% 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