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SHOE PENETRATION & DEPLETION [DEP076] · 25% DEPTH

Deuce (2) Depletion at 104/416 Cards (25%): B4 Draw 2-7 Gate Impact #76

In shoe-depletion analysis DEP076, 104 of 416 cards (25%) have exited the shoe, leaving 19 copies of Deuce (2) among 312 unseen cards (6.09% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -17 bps.

DEP076 Shoe Depth
104/416 (25%)
DEP076 2 Density
19/312 (6.09%)
DEP076 Draw Delta
-17 bps
DEP076 Tableau Gate
B4vP5:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 25% shoe-penetration state DEP076 (Deuce (2) -> 19/312).

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

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

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Mark #3

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

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

DEP076 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.

DEP076 Rank 2 Supply
19 of 32 Remaining (6.09%)

Compares depleted density 6.09% against fresh 8-deck baseline 7.69% for Deuce (2).

DEP076 Player Draw vs Banker Stand Shift
P-Draw -17 bps / B-Stand 21 bps

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

DEP076 Fixed Tableau Gate
BANKER_TABLEAU[4][5] = true

Card removal alters entry probabilities into (4, 5) but never alters the fixed DRAW rule.

DEP076 Sample Coup Resolution
P(9+4)+5=8 vs B(2+2)=5 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP076.

COMBINATORIAL DEPLETION · DEP076

How Removing Deuce (2) at 104 Cards Affects B4 Draw 2-7 Gate (DEP076)

In finite-shoe state [DEP076], 104 cards have exited the 416-card shoe, leaving 19 Deuce (2) cards in 312 (6.09% vs 7.69%) to govern the Banker 4 active six-card draw window against 2..7.

[DEP076-B] Even as Deuce (2) (2 pts) depletion shifts Player drawing by -17 bps and Banker standing by 21 bps in [DEP076], Punto Banco law for B=4 vs P3=5 draws a sixth card.

Depletion Matrix for DEP076 (Deuce (2) at 104/416 Cards)
DEP076 MetricDEP076 Fresh 416-ShoeDEP076 At 104 DealtDEP076 Tableau Effect
[DEP076:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP076:Rank]32/416 (7.69%)19/312 (6.09%)Point Value 2
[DEP076:Shift]Baseline Draw/StandP -17 bps / B 21 bpsB4 Draw 2-7 Gate
[DEP076:Hand]P=3 vs B=4, P3=5P=8 vs B=56c (P)
  • [DEP076-1] Verify [DEP076] 312 unseen cards remain after 104/416 exit.
  • [DEP076-2] Compare [DEP076] Deuce (2) density (19/312=6.09%) vs 7.69%.
  • [DEP076-3] Apply [DEP076] BANKER_TABLEAU[4][5]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP076

Why DEP076 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP076-C10] Auditioning [DEP076] at depth, Player opens 3 + 5 -> 8 while Banker opens 4 -> 5 across 6c (P in [DEP076]). Across [DEP076] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP076] BBPPBPBBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Deuce (2) is depleted to 19/312 in DEP076, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][5] remains true at every shoe depth.
MythDeep shoe penetration at 104/416 cards in DEP076 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
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