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SHOE PENETRATION & DEPLETION [DEP235] · 40% DEPTH

Seven (7) Depletion at 166/416 Cards (40%): B6 Draw 6-7 Gate Impact #235

In shoe-depletion analysis DEP235, 166 of 416 cards (40%) have exited the shoe, leaving 15 copies of Seven (7) among 250 unseen cards (6.00% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by 44 bps.

DEP235 Shoe Depth
166/416 (40%)
DEP235 7 Density
15/250 (6.00%)
DEP235 Draw Delta
44 bps
DEP235 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 40% shoe-penetration state DEP235 (Seven (7) -> 15/250).

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

DEP235 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.

DEP235 Rank 7 Supply
15 of 32 Remaining (6.00%)

Compares depleted density 6.00% against fresh 8-deck baseline 7.69% for Seven (7).

DEP235 Player Draw vs Banker Stand Shift
P-Draw 44 bps / B-Stand -37 bps

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

DEP235 Fixed Tableau Gate
BANKER_TABLEAU[6][8] = false

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

DEP235 Sample Coup Resolution
P(10+K)+8=8 vs B(2+4)=6 (P)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP235.

COMBINATORIAL DEPLETION · DEP235

How Removing Seven (7) at 166 Cards Affects B6 Draw 6-7 Gate (DEP235)

Depletion vector [DEP235] pairs Mid-Early Penetration (3.2 decks dealt) (250 cards left) with 15 remaining Seven (7) cards (6.00% vs 7.69%), quantifying the shift in the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP235-B] Observing [DEP235], 7-value Seven (7) removal shifts Player 0..5 draws by 44 bps and Banker stands by -37 bps, leaving the mandatory B6 vs P3=8 rule (stands pat on five cards) intact.

Depletion Matrix for DEP235 (Seven (7) at 166/416 Cards)
DEP235 MetricDEP235 Fresh 416-ShoeDEP235 At 166 DealtDEP235 Tableau Effect
[DEP235:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP235:Rank]32/416 (7.69%)15/250 (6.00%)Point Value 7
[DEP235:Shift]Baseline Draw/StandP 44 bps / B -37 bpsB6 Draw 6-7 Gate
[DEP235:Hand]P=0 vs B=6, P3=8P=8 vs B=65c (P)
  • [DEP235-1] Verify [DEP235] 250 unseen cards remain after 166/416 exit.
  • [DEP235-2] Compare [DEP235] Seven (7) density (15/250=6.00%) vs 7.69%.
  • [DEP235-3] Apply [DEP235] BANKER_TABLEAU[6][8]=false (5c P).
INDEPENDENCE & ROAD LOGGING · DEP235

Why DEP235 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP235-C5] Auditioning [DEP235] at depth, Player opens 0 + 8 -> 8 while Banker opens 6 -> 6 across 5c (P in [DEP235]). Across [DEP235] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP235] PPBBPBPPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Seven (7) is depleted to 15/250 in DEP235, 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 166/416 cards in DEP235 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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