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SHOE PENETRATION & DEPLETION [DEP157] · 40% DEPTH

Queen (Q) Depletion at 166/416 Cards (40%): B5 Draw 4-7 Gate Impact #157

In shoe-depletion analysis DEP157, 166 of 416 cards (40%) have exited the shoe, leaving 17 copies of Queen (Q) among 250 unseen cards (6.80% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -24 bps.

DEP157 Shoe Depth
166/416 (40%)
DEP157 Q Density
17/250 (6.80%)
DEP157 Draw Delta
-24 bps
DEP157 Tableau Gate
B5vP4:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 40% shoe-penetration state DEP157 (Queen (Q) -> 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

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

DEP157 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.

DEP157 Rank Q Supply
17 of 32 Remaining (6.80%)

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

DEP157 Player Draw vs Banker Stand Shift
P-Draw -24 bps / B-Stand 26 bps

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

DEP157 Fixed Tableau Gate
BANKER_TABLEAU[5][4] = true

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

DEP157 Sample Coup Resolution
P(10+K)+4=4 vs B(A+4)=6 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP157.

COMBINATORIAL DEPLETION · DEP157

How Removing Queen (Q) at 166 Cards Affects B5 Draw 4-7 Gate (DEP157)

Card-removal record [DEP157] inspects 250 remaining cards after 166 are burned or dealt; holding 17 Queen (Q) cards (6.80% vs 7.69%) perturbs the Banker 5 four-value draw threshold against 4..7.

[DEP157-B] In [DEP157], 0-point Queen (Q) depletion nudges Player's third-card draw rate (-24 bps) and Banker's pat rate (26 bps), while B=5 vs P3=4 strictly draws a sixth card.

Depletion Matrix for DEP157 (Queen (Q) at 166/416 Cards)
DEP157 MetricDEP157 Fresh 416-ShoeDEP157 At 166 DealtDEP157 Tableau Effect
[DEP157:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP157:Rank]32/416 (7.69%)17/250 (6.80%)Point Value 0
[DEP157:Shift]Baseline Draw/StandP -24 bps / B 26 bpsB5 Draw 4-7 Gate
[DEP157:Hand]P=0 vs B=5, P3=4P=4 vs B=66c (B)
  • [DEP157-1] Verify [DEP157] 250 unseen cards remain after 166/416 exit.
  • [DEP157-2] Compare [DEP157] Queen (Q) density (17/250=6.80%) vs 7.69%.
  • [DEP157-3] Apply [DEP157] BANKER_TABLEAU[5][4]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP157

Why DEP157 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP157-C5] Auditioning [DEP157] at depth, Player opens 0 + 4 -> 4 while Banker opens 5 -> 6 across 6c (B in [DEP157]). Across [DEP157] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP157] PPBBPBPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Queen (Q) is depleted to 17/250 in DEP157, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][4] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP157 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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