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SHOE PENETRATION & DEPLETION [DEP221] · 25% DEPTH

Seven (7) Depletion at 104/416 Cards (25%): B6 Draw 6-7 Gate Impact #221

In shoe-depletion analysis DEP221, 104 of 416 cards (25%) have exited the shoe, leaving 22 copies of Seven (7) among 312 unseen cards (7.05% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by 39 bps.

DEP221 Shoe Depth
104/416 (25%)
DEP221 7 Density
22/312 (7.05%)
DEP221 Draw Delta
39 bps
DEP221 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 25% shoe-penetration state DEP221 (Seven (7) -> 22/312).

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

DEP221 Penetration Depth
104 Dealt / 312 Remaining (25%)

Evaluated at Early-Shoe Quarter Marker (2 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP221 Rank 7 Supply
22 of 32 Remaining (7.05%)

Compares depleted density 7.05% against fresh 8-deck baseline 7.69% for Seven (7).

DEP221 Player Draw vs Banker Stand Shift
P-Draw 39 bps / B-Stand -26 bps

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

DEP221 Fixed Tableau Gate
BANKER_TABLEAU[6][6] = true

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

DEP221 Sample Coup Resolution
P(2+2)+6=0 vs B(2+4)=9 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP221.

COMBINATORIAL DEPLETION · DEP221

How Removing Seven (7) at 104 Cards Affects B6 Draw 6-7 Gate (DEP221)

Depletion vector [DEP221] pairs Early-Shoe Quarter Marker (2 decks dealt) (312 cards left) with 22 remaining Seven (7) cards (7.05% vs 7.69%), quantifying the shift in the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP221-B] Observing [DEP221], 7-value Seven (7) removal shifts Player 0..5 draws by 39 bps and Banker stands by -26 bps, leaving the mandatory B6 vs P3=6 rule (draws a sixth card) intact.

Depletion Matrix for DEP221 (Seven (7) at 104/416 Cards)
DEP221 MetricDEP221 Fresh 416-ShoeDEP221 At 104 DealtDEP221 Tableau Effect
[DEP221:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP221:Rank]32/416 (7.69%)22/312 (7.05%)Point Value 7
[DEP221:Shift]Baseline Draw/StandP 39 bps / B -26 bpsB6 Draw 6-7 Gate
[DEP221:Hand]P=4 vs B=6, P3=6P=0 vs B=96c (B)
  • [DEP221-1] Verify [DEP221] 312 unseen cards remain after 104/416 exit.
  • [DEP221-2] Compare [DEP221] Seven (7) density (22/312=7.05%) vs 7.69%.
  • [DEP221-3] Apply [DEP221] BANKER_TABLEAU[6][6]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP221

Why DEP221 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP221-C11] Auditioning [DEP221] at depth, Player opens 4 + 6 -> 0 while Banker opens 6 -> 9 across 6c (B in [DEP221]). Across [DEP221] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP221] PPBBPBPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Seven (7) is depleted to 22/312 in DEP221, 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 104/416 cards in DEP221 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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