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SHOE PENETRATION & DEPLETION [DEP237] · 40% DEPTH

Nine (9) Depletion at 166/416 Cards (40%): B6 Draw 6-7 Gate Impact #237

In shoe-depletion analysis DEP237, 166 of 416 cards (40%) have exited the shoe, leaving 17 copies of Nine (9) among 250 unseen cards (6.80% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by 17 bps.

DEP237 Shoe Depth
166/416 (40%)
DEP237 9 Density
17/250 (6.80%)
DEP237 Draw Delta
17 bps
DEP237 Tableau Gate
B6vP6: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 DEP237 (Nine (9) -> 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

DEP237 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.

DEP237 Rank 9 Supply
17 of 32 Remaining (6.80%)

Compares depleted density 6.80% against fresh 8-deck baseline 7.69% for Nine (9).

DEP237 Player Draw vs Banker Stand Shift
P-Draw 17 bps / B-Stand -26 bps

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

DEP237 Fixed Tableau Gate
BANKER_TABLEAU[6][6] = true

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

DEP237 Sample Coup Resolution
P(10+2)+6=8 vs B(2+4)=7 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP237.

COMBINATORIAL DEPLETION · DEP237

How Removing Nine (9) at 166 Cards Affects B6 Draw 6-7 Gate (DEP237)

Penetration profile [DEP237] fixes the shoe at 166 dealt and 250 remaining with 17 Nine (9) cards (6.80% density vs 7.69%), testing sensitivity of the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP237-B] Depleting Nine (9) (pip value 9) induces a 17-bps shift in Player 0..5 draws and a -26-bps shift in Banker stands; inside coordinate B6-P3(6), the dealer still draws a sixth card.

Depletion Matrix for DEP237 (Nine (9) at 166/416 Cards)
DEP237 MetricDEP237 Fresh 416-ShoeDEP237 At 166 DealtDEP237 Tableau Effect
[DEP237:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP237:Rank]32/416 (7.69%)17/250 (6.80%)Point Value 9
[DEP237:Shift]Baseline Draw/StandP 17 bps / B -26 bpsB6 Draw 6-7 Gate
[DEP237:Hand]P=2 vs B=6, P3=6P=8 vs B=76c (P)
  • [DEP237-1] Verify [DEP237] 250 unseen cards remain after 166/416 exit.
  • [DEP237-2] Compare [DEP237] Nine (9) density (17/250=6.80%) vs 7.69%.
  • [DEP237-3] Apply [DEP237] BANKER_TABLEAU[6][6]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP237

Why DEP237 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP237-C6] Auditioning [DEP237] at depth, Player opens 2 + 6 -> 8 while Banker opens 6 -> 7 across 6c (P in [DEP237]). Across [DEP237] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP237] PPBBPBPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Nine (9) is depleted to 17/250 in DEP237, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[6][6] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP237 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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