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SHOE PENETRATION & DEPLETION [DEP312] · 55% DEPTH

King (K) Depletion at 229/416 Cards (55%): P0-5 vs B-Stand Impact #312

In shoe-depletion analysis DEP312, 229 of 416 cards (55%) have exited the shoe, leaving 9 copies of King (K) among 187 unseen cards (4.81% vs baseline 7.69%) and shifting P0-5 vs B-Stand frequency by -31 bps.

DEP312 Shoe Depth
229/416 (55%)
DEP312 K Density
9/187 (4.81%)
DEP312 Draw Delta
-31 bps
DEP312 Tableau Gate
B2vP3: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 DEP312 (King (K) -> 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

DEP312 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.

DEP312 Rank K Supply
9 of 32 Remaining (4.81%)

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

DEP312 Player Draw vs Banker Stand Shift
P-Draw -31 bps / B-Stand 33 bps

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

DEP312 Fixed Tableau Gate
BANKER_TABLEAU[2][3] = true

Card removal alters entry probabilities into (2, 3) but never alters the fixed DRAW rule.

DEP312 Sample Coup Resolution
P(A+4)+3=8 vs B(10+2)=5 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP312.

COMBINATORIAL DEPLETION · DEP312

How Removing King (K) at 229 Cards Affects P0-5 vs B-Stand (DEP312)

Conditional model [DEP312] evaluates Mid-Shoe Crossover (4.4 decks dealt) where 9 copies of King (K) persist among 187 cards (4.81% vs 416-card 7.69%), recalibrating the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP312-B] Mathematically, King (K) (worth 0) shifts Player draw frequency by -31 bps and Banker stand frequency by 33 bps in [DEP312], whereas fixed rule BANKER_TABLEAU[2][3] draws a sixth card.

Depletion Matrix for DEP312 (King (K) at 229/416 Cards)
DEP312 MetricDEP312 Fresh 416-ShoeDEP312 At 229 DealtDEP312 Tableau Effect
[DEP312:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP312:Rank]32/416 (7.69%)9/187 (4.81%)Point Value 0
[DEP312:Shift]Baseline Draw/StandP -31 bps / B 33 bpsP0-5 vs B-Stand
[DEP312:Hand]P=5 vs B=2, P3=3P=8 vs B=56c (P)
  • [DEP312-1] Verify [DEP312] 187 unseen cards remain after 229/416 exit.
  • [DEP312-2] Compare [DEP312] King (K) density (9/187=4.81%) vs 7.69%.
  • [DEP312-3] Apply [DEP312] BANKER_TABLEAU[2][3]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP312

Why DEP312 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP312-C11] Auditioning [DEP312] at depth, Player opens 5 + 3 -> 8 while Banker opens 2 -> 5 across 6c (P in [DEP312]). Across [DEP312] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP312] BBPPBBPPPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen King (K) is depleted to 9/187 in DEP312, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[2][3] remains true at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP312 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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