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

1-Deck 0-Value Tens & Faces Depletion at 80% Penetration (Super 6 Audit DEP008)

Removing 15 of 16 0-Value Tens & Faces (Rank-0) cards at 80% penetration of a 1-deck (52-card) shoe leaves 1 Rank-0 cards inside a 10-card stub (DEP008), producing 45.9631% Banker wins, 44.5211% Player wins, 9.5158% Ties, and a 1.2510% Banker house edge under Super 6.

Banker EV (Super 6)
-1.2510%
Player EV (1:1)
-1.4420%
Rank-0 in 10-Card Stub
1/16
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 P B P B B P P B B P B
Big Eye Boy = = = = ≠ = = = ≠ ≠ = = = = ≠
Small Road = = ≠ ≠ = = ≠ ≠ ≠ ≠ = = ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ ≠

Reference shoe scoreboard (PPBBPPBPBPBBPPBBPB) illustrating derived-road symmetry checks alongside DEP008 (1D 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 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 (DEP008)
10 / 52 Cards

80% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).

Rank-0 Remaining
1 of 16 Cards

15 10, Jack, Queen, and King (zero-point cards) removed from the 1D pack.

Banker EV (Super 6)
-1.2510%

Resolved at 45.9631% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.4420%

Resolved at 44.5211% 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 DEP008.

FINITE-SHOE ENUMERATION · DEP008

How 0-Value Tens & Faces Depletion at 80% Depth Impacts 1D (Super 6)

Within single-deck laboratory benchmarks and historical pitch audits, profile DEP008 examines 80% shoe depletion (10 of 52 cards remaining) after 15 Rank-0 cards exit, leaving 1 0-Value Tens & Faces cards and a 1.2510% Banker house hold under Super 6.

Mechanical draw trees in DEP008 reflect how fewer zero-value draws mean (dep008-rank-0) third-card pulls change running totals (10c) more frequently instead of leaving (dep008-rank-0·10c) totals unchanged. At 80% 1D depth (1 Rank-0 left of 16 in 10 cards, +0.18 bps slope), only 20% of the (dep008-1d) initial shoe remains undealt while (1/16) winning banker 6 hands forfeit (dep008-1d·1/16) half their payout.

State DEP008 (1D, 80% depth, 1/16 Rank-0 left, Super 6)
Wager / MetricState DEP008 Value1D BaselineSettlement Note
DEP008 Banker (Super 6)45.9631% (-1.2510% EV)45.9595%DEP008 1D 80% (1 Rank-0)
DEP008 Player (1:1)44.5211% (-1.4420% EV)44.5249%DEP008 10-card 1D stub (0.9375 SD)
DEP008 Tie (8:1)9.5158% (-14.3578% EV)9.5156%DEP008 Rank-0 (15 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP008

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP008 · 1D)

Whether DEP008 is observed in single-deck laboratory benchmarks and historical pitch audits at 80% depth (10/52 cards left, 1 Rank-0 remaining), Super 6 settlement locks Banker EV at -1.2510% and Player EV at -1.4420% with 9.5158% Ties.

  • DEP008 (1D 80%): 10/52 cards with 1/16 Rank-0 (3A).
  • DEP008 (Rank-0 split): 45.9631% Banker, 44.5211% Player, 9.5158% Tie in 10 1D cards (3B).
  • DEP008 (Super 6 EV): -1.2510% Banker, -1.4420% Player, -14.3578% Tie, 0.9375 SD at 80% (3C).
  • DEP008 (1D roads): red/blue marks log Big Road columns, never 1 Rank-0 stub count (3D).
Table Reality Check

Myth vs. Truth

MythWhen 15 0-Value Tens & Faces cards leave a 1D shoe by 80% depth (DEP008), 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 (1/16 in 10 cards); Banker carries a -1.2510% 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