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SHOE PENETRATION & DEPLETION [DEP071] · 25% DEPTH

Ten (10) Depletion at 104/416 Cards (25%): B4 Draw 2-7 Gate Impact #71

In shoe-depletion analysis DEP071, 104 of 416 cards (25%) have exited the shoe, leaving 20 copies of Ten (10) among 312 unseen cards (6.41% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -29 bps.

DEP071 Shoe Depth
104/416 (25%)
DEP071 10 Density
20/312 (6.41%)
DEP071 Draw Delta
-29 bps
DEP071 Tableau Gate
B4vP4: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 B B P P P P B P P B B P P B
Big Eye Boy = = ≠ ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ = = = =
Small Road ≠ = ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = ≠ ≠ ≠

Scoreboard trajectory paired with 25% shoe-penetration state DEP071 (Ten (10) -> 20/312).

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 3. Column 2 stopped at Row 2, one row above → blue (≠).

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 2, one row above → blue (≠).

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.

Cockroach Pig Mark #3

Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

DEP071 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.

DEP071 Rank 10 Supply
20 of 32 Remaining (6.41%)

Compares depleted density 6.41% against fresh 8-deck baseline 7.69% for Ten (10).

DEP071 Player Draw vs Banker Stand Shift
P-Draw -29 bps / B-Stand 33 bps

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

DEP071 Fixed Tableau Gate
BANKER_TABLEAU[4][4] = true

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

DEP071 Sample Coup Resolution
P(2+2)+4=8 vs B(A+3)=8 (T)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP071.

COMBINATORIAL DEPLETION · DEP071

How Removing Ten (10) at 104 Cards Affects B4 Draw 2-7 Gate (DEP071)

[DEP071] At 104 cards dealt (25% shoe depth, 312 undealt), removing 12 copies of Ten (10) leaves 20/312 (6.41% vs fresh-shoe 7.69%) entering the Banker 4 active six-card draw window against 2..7.

[DEP071-B] Because Ten (10) carries point value 0, thinning this rank shifts Player 0..5 drawing frequency by -29 bps and Banker standing frequency by 33 bps while BANKER_TABLEAU[4][4]=true still draws a sixth card.

Depletion Matrix for DEP071 (Ten (10) at 104/416 Cards)
DEP071 MetricDEP071 Fresh 416-ShoeDEP071 At 104 DealtDEP071 Tableau Effect
[DEP071:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP071:Rank]32/416 (7.69%)20/312 (6.41%)Point Value 0
[DEP071:Shift]Baseline Draw/StandP -29 bps / B 33 bpsB4 Draw 2-7 Gate
[DEP071:Hand]P=4 vs B=4, P3=4P=8 vs B=86c (T)
  • [DEP071-1] Verify [DEP071] 312 unseen cards remain after 104/416 exit.
  • [DEP071-2] Compare [DEP071] Ten (10) density (20/312=6.41%) vs 7.69%.
  • [DEP071-3] Apply [DEP071] BANKER_TABLEAU[4][4]=true (6c T).
INDEPENDENCE & ROAD LOGGING · DEP071

Why DEP071 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP071-C1] Auditioning [DEP071] at depth, Player opens 4 + 4 -> 8 while Banker opens 4 -> 8 across 6c (T in [DEP071]). Across [DEP071] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging T onto [DEP071] PPBBPBBBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Ten (10) is depleted to 20/312 in DEP071, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][4] remains true at every shoe depth.
MythDeep shoe penetration at 104/416 cards in DEP071 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
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