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SHOE PENETRATION & DEPLETION [DEP251] · 55% DEPTH

Nine (9) Depletion at 229/416 Cards (55%): B6 Draw 6-7 Gate Impact #251

In shoe-depletion analysis DEP251, 229 of 416 cards (55%) have exited the shoe, leaving 10 copies of Nine (9) among 187 unseen cards (5.35% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by 22 bps.

DEP251 Shoe Depth
229/416 (55%)
DEP251 9 Density
10/187 (5.35%)
DEP251 Draw Delta
22 bps
DEP251 Tableau Gate
B6vP8:STAND
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 P P P B B B P P P P B
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard trajectory paired with 55% shoe-penetration state DEP251 (Nine (9) -> 10/187).

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

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

DEP251 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.

DEP251 Rank 9 Supply
10 of 32 Remaining (5.35%)

Compares depleted density 5.35% against fresh 8-deck baseline 7.69% for Nine (9).

DEP251 Player Draw vs Banker Stand Shift
P-Draw 22 bps / B-Stand -37 bps

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

DEP251 Fixed Tableau Gate
BANKER_TABLEAU[6][8] = false

Card removal alters entry probabilities into (6, 8) but never alters the fixed STAND rule.

DEP251 Sample Coup Resolution
P(2+2)+8=2 vs B(2+4)=6 (B)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP251.

COMBINATORIAL DEPLETION · DEP251

How Removing Nine (9) at 229 Cards Affects B6 Draw 6-7 Gate (DEP251)

Penetration profile [DEP251] fixes the shoe at 229 dealt and 187 remaining with 10 Nine (9) cards (5.35% density vs 7.69%), testing sensitivity of the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP251-B] Depleting Nine (9) (pip value 9) induces a 22-bps shift in Player 0..5 draws and a -37-bps shift in Banker stands; inside coordinate B6-P3(8), the dealer still stands pat on five cards.

Depletion Matrix for DEP251 (Nine (9) at 229/416 Cards)
DEP251 MetricDEP251 Fresh 416-ShoeDEP251 At 229 DealtDEP251 Tableau Effect
[DEP251:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP251:Rank]32/416 (7.69%)10/187 (5.35%)Point Value 9
[DEP251:Shift]Baseline Draw/StandP 22 bps / B -37 bpsB6 Draw 6-7 Gate
[DEP251:Hand]P=4 vs B=6, P3=8P=2 vs B=65c (B)
  • [DEP251-1] Verify [DEP251] 187 unseen cards remain after 229/416 exit.
  • [DEP251-2] Compare [DEP251] Nine (9) density (10/187=5.35%) vs 7.69%.
  • [DEP251-3] Apply [DEP251] BANKER_TABLEAU[6][8]=false (5c B).
INDEPENDENCE & ROAD LOGGING · DEP251

Why DEP251 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP251-C0] Auditioning [DEP251] at depth, Player opens 4 + 8 -> 2 while Banker opens 6 -> 6 across 5c (B in [DEP251]). Across [DEP251] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP251] PPBBPBPPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Nine (9) is depleted to 10/187 in DEP251, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[6][8] remains false at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP251 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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