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SHOE PENETRATION & DEPLETION [DEP025] · 40% DEPTH

Seven (7) Depletion at 166/416 Cards (40%): B3 vs P3=8 Shade Impact #25

In shoe-depletion analysis DEP025, 166 of 416 cards (40%) have exited the shoe, leaving 17 copies of Seven (7) among 250 unseen cards (6.80% vs baseline 7.69%) and shifting B3 vs P3=8 Shade frequency by 30 bps.

DEP025 Shoe Depth
166/416 (40%)
DEP025 7 Density
17/250 (6.80%)
DEP025 Draw Delta
30 bps
DEP025 Tableau Gate
B3vP8:STAND
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 B B P P P P B B P B B B P
Big Eye Boy = = = = = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠
Small Road = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = = ≠

Scoreboard trajectory paired with 40% shoe-penetration state DEP025 (Seven (7) -> 17/250).

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

DEP025 Penetration Depth
166 Dealt / 250 Remaining (40%)

Evaluated at Mid-Early Penetration (3.2 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP025 Rank 7 Supply
17 of 32 Remaining (6.80%)

Compares depleted density 6.80% against fresh 8-deck baseline 7.69% for Seven (7).

DEP025 Player Draw vs Banker Stand Shift
P-Draw 30 bps / B-Stand -27 bps

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

DEP025 Fixed Tableau Gate
BANKER_TABLEAU[3][8] = false

Card removal alters entry probabilities into (3, 8) but never alters the fixed STAND rule.

DEP025 Sample Coup Resolution
P(10+K)+8=8 vs B(9+4)=3 (P)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP025.

COMBINATORIAL DEPLETION · DEP025

How Removing Seven (7) at 166 Cards Affects B3 vs P3=8 Shade (DEP025)

Depletion vector [DEP025] pairs Mid-Early Penetration (3.2 decks dealt) (250 cards left) with 17 remaining Seven (7) cards (6.80% vs 7.69%), quantifying the shift in the Banker 3 standing exception on Player third-card 8.

[DEP025-B] Observing [DEP025], 7-value Seven (7) removal shifts Player 0..5 draws by 30 bps and Banker stands by -27 bps, leaving the mandatory B3 vs P3=8 rule (stands pat on five cards) intact.

Depletion Matrix for DEP025 (Seven (7) at 166/416 Cards)
DEP025 MetricDEP025 Fresh 416-ShoeDEP025 At 166 DealtDEP025 Tableau Effect
[DEP025:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP025:Rank]32/416 (7.69%)17/250 (6.80%)Point Value 7
[DEP025:Shift]Baseline Draw/StandP 30 bps / B -27 bpsB3 vs P3=8 Shade
[DEP025:Hand]P=0 vs B=3, P3=8P=8 vs B=35c (P)
  • [DEP025-1] Verify [DEP025] 250 unseen cards remain after 166/416 exit.
  • [DEP025-2] Compare [DEP025] Seven (7) density (17/250=6.80%) vs 7.69%.
  • [DEP025-3] Apply [DEP025] BANKER_TABLEAU[3][8]=false (5c P).
INDEPENDENCE & ROAD LOGGING · DEP025

Why DEP025 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP025-C4] Auditioning [DEP025] at depth, Player opens 0 + 8 -> 8 while Banker opens 3 -> 3 across 5c (P in [DEP025]). Across [DEP025] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP025] PPBBPPBBBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Seven (7) is depleted to 17/250 in DEP025, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[3][8] remains false at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP025 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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