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SHOE PENETRATION & DEPLETION [DEP225] · 40% DEPTH

Ten (10) Depletion at 166/416 Cards (40%): B6 Draw 6-7 Gate Impact #225

In shoe-depletion analysis DEP225, 166 of 416 cards (40%) have exited the shoe, leaving 17 copies of Ten (10) among 250 unseen cards (6.80% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by -31 bps.

DEP225 Shoe Depth
166/416 (40%)
DEP225 10 Density
17/250 (6.80%)
DEP225 Draw Delta
-31 bps
DEP225 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 P B P B P P B B B P P P P B B
Big Eye Boy = = = = ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ =
Small Road = = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ =

Scoreboard trajectory paired with 40% shoe-penetration state DEP225 (Ten (10) -> 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

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

DEP225 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.

DEP225 Rank 10 Supply
17 of 32 Remaining (6.80%)

Compares depleted density 6.80% against fresh 8-deck baseline 7.69% for Ten (10).

DEP225 Player Draw vs Banker Stand Shift
P-Draw -31 bps / B-Stand 30 bps

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

DEP225 Fixed Tableau Gate
BANKER_TABLEAU[6][6] = true

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

DEP225 Sample Coup Resolution
P(10+2)+6=8 vs B(2+4)=6 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP225.

COMBINATORIAL DEPLETION · DEP225

How Removing Ten (10) at 166 Cards Affects B6 Draw 6-7 Gate (DEP225)

[DEP225] At 166 cards dealt (40% shoe depth, 250 undealt), removing 15 copies of Ten (10) leaves 17/250 (6.80% vs fresh-shoe 7.69%) entering the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP225-B] Because Ten (10) carries point value 0, thinning this rank shifts Player 0..5 drawing frequency by -31 bps and Banker standing frequency by 30 bps while BANKER_TABLEAU[6][6]=true still draws a sixth card.

Depletion Matrix for DEP225 (Ten (10) at 166/416 Cards)
DEP225 MetricDEP225 Fresh 416-ShoeDEP225 At 166 DealtDEP225 Tableau Effect
[DEP225:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP225:Rank]32/416 (7.69%)17/250 (6.80%)Point Value 0
[DEP225:Shift]Baseline Draw/StandP -31 bps / B 30 bpsB6 Draw 6-7 Gate
[DEP225:Hand]P=2 vs B=6, P3=6P=8 vs B=66c (P)
  • [DEP225-1] Verify [DEP225] 250 unseen cards remain after 166/416 exit.
  • [DEP225-2] Compare [DEP225] Ten (10) density (17/250=6.80%) vs 7.69%.
  • [DEP225-3] Apply [DEP225] BANKER_TABLEAU[6][6]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP225

Why DEP225 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP225-C0] Auditioning [DEP225] at depth, Player opens 2 + 6 -> 8 while Banker opens 6 -> 6 across 6c (P in [DEP225]). Across [DEP225] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP225] PPBBPPBPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Ten (10) is depleted to 17/250 in DEP225, 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 DEP225 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.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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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