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SHOE PENETRATION & DEPLETION [DEP104] · 55% DEPTH

Deuce (2) Depletion at 229/416 Cards (55%): B4 Draw 2-7 Gate Impact #104

In shoe-depletion analysis DEP104, 229 of 416 cards (55%) have exited the shoe, leaving 9 copies of Deuce (2) among 187 unseen cards (4.81% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -27 bps.

DEP104 Shoe Depth
229/416 (55%)
DEP104 2 Density
9/187 (4.81%)
DEP104 Draw Delta
-27 bps
DEP104 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 B P P P B B B B P P B P P P B
Big Eye Boy = = = = = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠
Small Road = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = = ≠

Scoreboard trajectory paired with 55% shoe-penetration state DEP104 (Deuce (2) -> 9/187).

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

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns 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.

Cockroach Pig Mark #3

Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

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

DEP104 Penetration Depth
229 Dealt / 187 Remaining (55%)

Evaluated at Mid-Shoe Crossover (4.4 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP104 Rank 2 Supply
9 of 32 Remaining (4.81%)

Compares depleted density 4.81% against fresh 8-deck baseline 7.69% for Deuce (2).

DEP104 Player Draw vs Banker Stand Shift
P-Draw -27 bps / B-Stand 12 bps

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

DEP104 Fixed Tableau Gate
BANKER_TABLEAU[4][5] = true

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

DEP104 Sample Coup Resolution
P(7+4)+5=6 vs B(2+2)=3 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP104.

COMBINATORIAL DEPLETION · DEP104

How Removing Deuce (2) at 229 Cards Affects B4 Draw 2-7 Gate (DEP104)

In finite-shoe state [DEP104], 229 cards have exited the 416-card shoe, leaving 9 Deuce (2) cards in 187 (4.81% vs 7.69%) to govern the Banker 4 active six-card draw window against 2..7.

[DEP104-B] Even as Deuce (2) (2 pts) depletion shifts Player drawing by -27 bps and Banker standing by 12 bps in [DEP104], Punto Banco law for B=4 vs P3=5 draws a sixth card.

Depletion Matrix for DEP104 (Deuce (2) at 229/416 Cards)
DEP104 MetricDEP104 Fresh 416-ShoeDEP104 At 229 DealtDEP104 Tableau Effect
[DEP104:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP104:Rank]32/416 (7.69%)9/187 (4.81%)Point Value 2
[DEP104:Shift]Baseline Draw/StandP -27 bps / B 12 bpsB4 Draw 2-7 Gate
[DEP104:Hand]P=1 vs B=4, P3=5P=6 vs B=36c (P)
  • [DEP104-1] Verify [DEP104] 187 unseen cards remain after 229/416 exit.
  • [DEP104-2] Compare [DEP104] Deuce (2) density (9/187=4.81%) vs 7.69%.
  • [DEP104-3] Apply [DEP104] BANKER_TABLEAU[4][5]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP104

Why DEP104 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP104-C11] Auditioning [DEP104] at depth, Player opens 1 + 5 -> 6 while Banker opens 4 -> 3 across 6c (P in [DEP104]). Across [DEP104] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP104] BBPPBBPPPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Deuce (2) is depleted to 9/187 in DEP104, 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 229/416 cards in DEP104 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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Read Every Derived Road at Table Speed

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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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