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COMBINATORIAL DEPLETION · 2D · RANK-9 · 80% DEPTH

2-Deck Nine-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP179)

Removing 7 of 8 Nine-Pip Card (Rank-9) cards at 80% penetration of a 2-deck (104-card) shoe leaves 1 Rank-9 cards inside a 21-card stub (DEP179), producing 45.8987% Banker wins, 44.5687% Player wins, 9.5326% Ties, and a 1.3630% Banker house edge under Super 6.

Banker EV (Super 6)
-1.3630%
Player EV (1:1)
-1.3300%
Rank-9 in 21-Card Stub
1/8
Single-Hand Std Dev
0.9402
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP179 (2D Rank-9 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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

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 (DEP179)
21 / 104 Cards

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

Rank-9 Remaining
1 of 8 Cards

7 9-pip cards (top Natural 9 generator) removed from the 2D pack.

Banker EV (Super 6)
-1.3630%

Resolved at 45.8987% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.3300%

Resolved at 44.5687% Player win rate with 0.9402 unit standard deviation.

Tie Incidence (8:1)
9.5326%

Produces a 14.2070% house hold on the 8-to-1 Tie wager in state DEP179.

FINITE-SHOE ENUMERATION · DEP179

How Nine-Pip Card Depletion at 80% Depth Impacts 2D (Super 6)

Removing 7 of 8 Rank-9 cards by the 80% mark of a 2-deck shoe (DEP179, 21 cards left) leaves 1 Nine-Pip Card cards and adjusts conditional probabilities to 45.8987% Banker, 44.5687% Player, and 9.5326% Tie under Super 6.

Why does Rank-9 carry a -0.23 bps per-card effect in DEP179? Rank 9 paired with (DEP179) any ten or face card (2D-80%) creates an unbeatable two-card Natural (DEP179·2D-80%) 9 that halts all third-card drawing on both sides, and at 80% penetration (1 Nine-Pip Card cards left in 21 2D cards), only 20% of the (dep179-2d) initial shoe remains undealt while (1/8) winning banker 6 hands forfeit (dep179-2d·1/8) half their payout.

State DEP179 (2D, 80% depth, 1/8 Rank-9 left, Super 6)
Wager / MetricState DEP179 Value2D BaselineSettlement Note
DEP179 Banker (Super 6)45.8987% (-1.3630% EV)45.8998%DEP179 2D 80% (1 Rank-9)
DEP179 Player (1:1)44.5687% (-1.3300% EV)44.5676%DEP179 21-card 2D stub (0.9402 SD)
DEP179 Tie (8:1)9.5326% (-14.2070% EV)9.5326%DEP179 Rank-9 (7 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP179

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP179 · 2D)

Learners auditing DEP179 (2D at 80% depth, 1/8 Rank-9 in 21 stub cards) can verify that Super 6 house hold (1.3630% Banker, 1.3300% Player, 14.2070% Tie) operates independently of prior Big Road streaks.

  • DEP179 (2D 80%): 21/104 cards with 1/8 Rank-9 (4A).
  • DEP179 (Rank-9 split): 45.8987% Banker, 44.5687% Player, 9.5326% Tie in 21 2D cards (4B).
  • DEP179 (Super 6 EV): -1.3630% Banker, -1.3300% Player, -14.2070% Tie, 0.9402 SD at 80% (4C).
  • DEP179 (2D roads): red/blue marks log Big Road columns, never 1 Rank-9 stub count (4D).
Table Reality Check

Myth vs. Truth

MythWhen 7 Nine-Pip Card cards leave a 2D shoe by 80% depth (DEP179), 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-9 stub counts (1/8 in 21 cards); Banker carries a -1.3630% 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