Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math Hub
  3. 6D Rank-2 Depletion at 60% Depth (EZ Bar-7)
COMBINATORIAL DEPLETION · 6D · RANK-2 · 60% DEPTH

6-Deck Two-Pip (Deuce) Depletion at 60% Penetration (EZ Baccarat Audit DEP293)

Removing 17 of 24 Two-Pip (Deuce) (Rank-2) cards at 60% penetration of a 6-deck (312-card) shoe leaves 7 Rank-2 cards inside a 125-card stub (DEP293), producing 45.8666% Banker wins, 44.5885% Player wins, 9.5450% Ties, and a 0.9753% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9753%
Player EV (1:1)
-1.2781%
Rank-2 in 125-Card Stub
7/24
Single-Hand Std Dev
0.9361
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) illustrating derived-road symmetry checks alongside DEP293 (6D Rank-2 at 60% 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

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Small Road Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

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 (DEP293)
125 / 312 Cards

60% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Rank-2 Remaining
7 of 24 Cards

17 2-pip cards across all four suits removed from the 6D pack.

Banker EV (EZ Bar-7)
-0.9753%

Resolved at 45.8666% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2781%

Resolved at 44.5885% Player win rate with 0.9361 unit standard deviation.

Tie Incidence (8:1)
9.5450%

Produces a 14.0953% house hold on the 8-to-1 Tie wager in state DEP293.

FINITE-SHOE ENUMERATION · DEP293

How Two-Pip (Deuce) Depletion at 60% Depth Impacts 6D (EZ Bar-7)

Shoe-stub analysis DEP293 inspects 125 remaining cards at 60% penetration of a 312-card (6D) pack after 17 Two-Pip (Deuce) cards have cleared, leaving 7 Rank-2 cards and a 0.9753% EZ Baccarat Banker edge.

Mechanical draw trees in DEP293 reflect how depleting 2s shifts the (dep293-rank-2) probability of banker converting a (125c) two-card 4 or 5 into (dep293-rank-2·125c) a winning three-card 6 or 7. At 60% 6D depth (7 Rank-2 left of 24 in 125 cards, +0.52 bps slope), banker wins pay 1:1 (dep293-6d) with zero commission except when (7/24) banker wins with a three-card (dep293-6d·7/24) total of 7, which pushes.

State DEP293 (6D, 60% depth, 7/24 Rank-2 left, EZ Bar-7)
Wager / MetricState DEP293 Value6D BaselineSettlement Note
DEP293 Banker (EZ Bar-7)45.8666% (-0.9753% EV)45.8648%DEP293 6D 60% (7 Rank-2)
DEP293 Player (1:1)44.5885% (-1.2781% EV)44.5903%DEP293 125-card 6D stub (0.9361 SD)
DEP293 Tie (8:1)9.5450% (-14.0953% EV)9.5449%DEP293 Rank-2 (17 out, 7 in)
TABLEAU & SCOREBOARD SEPARATION · DEP293

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP293 · 6D)

Learners auditing DEP293 (6D at 60% depth, 7/24 Rank-2 in 125 stub cards) can verify that EZ Baccarat house hold (0.9753% Banker, 1.2781% Player, 14.0953% Tie) operates independently of prior Big Road streaks.

  • DEP293 (6D 60%): 125/312 cards with 7/24 Rank-2 (7A).
  • DEP293 (Rank-2 split): 45.8666% Banker, 44.5885% Player, 9.5450% Tie in 125 6D cards (7B).
  • DEP293 (EZ Bar-7 EV): -0.9753% Banker, -1.2781% Player, -14.0953% Tie, 0.9361 SD at 60% (7C).
  • DEP293 (6D roads): red/blue marks log Big Road columns, never 7 Rank-2 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 17 Two-Pip (Deuce) cards leave a 6D shoe by 60% depth (DEP293), 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-2 stub counts (7/24 in 125 cards); Banker carries a -0.9753% expectation under EZ Baccarat.
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