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SHOE PENETRATION & DEPLETION [DEP179] · 55% DEPTH

Seven (7) Depletion at 229/416 Cards (55%): B5 Draw 4-7 Gate Impact #179

In shoe-depletion analysis DEP179, 229 of 416 cards (55%) have exited the shoe, leaving 10 copies of Seven (7) among 187 unseen cards (5.35% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by 32 bps.

DEP179 Shoe Depth
229/416 (55%)
DEP179 7 Density
10/187 (5.35%)
DEP179 Draw Delta
32 bps
DEP179 Tableau Gate
B5vP6: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 B B B P P P P B B P B P P
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard trajectory paired with 55% shoe-penetration state DEP179 (Seven (7) -> 10/187).

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

DEP179 Penetration Depth
229 Dealt / 187 Remaining (55%)

Evaluated at Mid-Shoe Crossover (4.4 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP179 Rank 7 Supply
10 of 32 Remaining (5.35%)

Compares depleted density 5.35% against fresh 8-deck baseline 7.69% for Seven (7).

DEP179 Player Draw vs Banker Stand Shift
P-Draw 32 bps / B-Stand -24 bps

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

DEP179 Fixed Tableau Gate
BANKER_TABLEAU[5][6] = true

Card removal alters entry probabilities into (5, 6) but never alters the fixed DRAW rule.

DEP179 Sample Coup Resolution
P(2+2)+6=0 vs B(A+4)=5 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP179.

COMBINATORIAL DEPLETION · DEP179

How Removing Seven (7) at 229 Cards Affects B5 Draw 4-7 Gate (DEP179)

Depletion vector [DEP179] pairs Mid-Shoe Crossover (4.4 decks dealt) (187 cards left) with 10 remaining Seven (7) cards (5.35% vs 7.69%), quantifying the shift in the Banker 5 four-value draw threshold against 4..7.

[DEP179-B] Observing [DEP179], 7-value Seven (7) removal shifts Player 0..5 draws by 32 bps and Banker stands by -24 bps, leaving the mandatory B5 vs P3=6 rule (draws a sixth card) intact.

Depletion Matrix for DEP179 (Seven (7) at 229/416 Cards)
DEP179 MetricDEP179 Fresh 416-ShoeDEP179 At 229 DealtDEP179 Tableau Effect
[DEP179:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP179:Rank]32/416 (7.69%)10/187 (5.35%)Point Value 7
[DEP179:Shift]Baseline Draw/StandP 32 bps / B -24 bpsB5 Draw 4-7 Gate
[DEP179:Hand]P=4 vs B=5, P3=6P=0 vs B=56c (B)
  • [DEP179-1] Verify [DEP179] 187 unseen cards remain after 229/416 exit.
  • [DEP179-2] Compare [DEP179] Seven (7) density (10/187=5.35%) vs 7.69%.
  • [DEP179-3] Apply [DEP179] BANKER_TABLEAU[5][6]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP179

Why DEP179 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP179-C3] Auditioning [DEP179] at depth, Player opens 4 + 6 -> 0 while Banker opens 5 -> 5 across 6c (B in [DEP179]). Across [DEP179] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP179] PPBBPBPBBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Seven (7) is depleted to 10/187 in DEP179, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][6] remains true at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP179 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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