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SHOE PENETRATION & DEPLETION [DEP081] · 25% DEPTH

Seven (7) Depletion at 104/416 Cards (25%): B4 Draw 2-7 Gate Impact #81

In shoe-depletion analysis DEP081, 104 of 416 cards (25%) have exited the shoe, leaving 22 copies of Seven (7) among 312 unseen cards (7.05% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by 42 bps.

DEP081 Shoe Depth
104/416 (25%)
DEP081 7 Density
22/312 (7.05%)
DEP081 Draw Delta
42 bps
DEP081 Tableau Gate
B4vP2:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 25% shoe-penetration state DEP081 (Seven (7) -> 22/312).

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 #3

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Small Road Mark #3

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 #3

Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

DEP081 Penetration Depth
104 Dealt / 312 Remaining (25%)

Evaluated at Early-Shoe Quarter Marker (2 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP081 Rank 7 Supply
22 of 32 Remaining (7.05%)

Compares depleted density 7.05% against fresh 8-deck baseline 7.69% for Seven (7).

DEP081 Player Draw vs Banker Stand Shift
P-Draw 42 bps / B-Stand -9 bps

Net basis-point movement in Player 0..5 fifth-card drawing vs Banker standing frequency.

DEP081 Fixed Tableau Gate
BANKER_TABLEAU[4][2] = true

Card removal alters entry probabilities into (4, 2) but never alters the fixed DRAW rule.

DEP081 Sample Coup Resolution
P(10+2)+2=4 vs B(A+3)=5 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP081.

COMBINATORIAL DEPLETION · DEP081

How Removing Seven (7) at 104 Cards Affects B4 Draw 2-7 Gate (DEP081)

Depletion vector [DEP081] pairs Early-Shoe Quarter Marker (2 decks dealt) (312 cards left) with 22 remaining Seven (7) cards (7.05% vs 7.69%), quantifying the shift in the Banker 4 active six-card draw window against 2..7.

[DEP081-B] Observing [DEP081], 7-value Seven (7) removal shifts Player 0..5 draws by 42 bps and Banker stands by -9 bps, leaving the mandatory B4 vs P3=2 rule (draws a sixth card) intact.

Depletion Matrix for DEP081 (Seven (7) at 104/416 Cards)
DEP081 MetricDEP081 Fresh 416-ShoeDEP081 At 104 DealtDEP081 Tableau Effect
[DEP081:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP081:Rank]32/416 (7.69%)22/312 (7.05%)Point Value 7
[DEP081:Shift]Baseline Draw/StandP 42 bps / B -9 bpsB4 Draw 2-7 Gate
[DEP081:Hand]P=2 vs B=4, P3=2P=4 vs B=56c (B)
  • [DEP081-1] Verify [DEP081] 312 unseen cards remain after 104/416 exit.
  • [DEP081-2] Compare [DEP081] Seven (7) density (22/312=7.05%) vs 7.69%.
  • [DEP081-3] Apply [DEP081] BANKER_TABLEAU[4][2]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP081

Why DEP081 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP081-C6] Auditioning [DEP081] at depth, Player opens 2 + 2 -> 4 while Banker opens 4 -> 5 across 6c (B in [DEP081]). Across [DEP081] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP081] PPBBPPBPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Seven (7) is depleted to 22/312 in DEP081, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][2] remains true at every shoe depth.
MythDeep shoe penetration at 104/416 cards in DEP081 makes Red on Big Eye Boy mean Banker.
TruthOn Big Eye Boy, Small Road, and Cockroach Pig, Red (=) always signals repeating Big Road structure and Blue (≠) signals a break.
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  • 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
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