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SHOE PENETRATION & DEPLETION [DEP246] · 55% DEPTH

Four (4) Depletion at 229/416 Cards (55%): B6 Draw 6-7 Gate Impact #246

In shoe-depletion analysis DEP246, 229 of 416 cards (55%) have exited the shoe, leaving 11 copies of Four (4) among 187 unseen cards (5.88% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by -34 bps.

DEP246 Shoe Depth
229/416 (55%)
DEP246 4 Density
11/187 (5.88%)
DEP246 Draw Delta
-34 bps
DEP246 Tableau Gate
B6vP7:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B P P P B B B B P B B P P B B P
Big Eye Boy = = ≠ ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ = = = =
Small Road ≠ = ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = ≠ ≠ ≠

Scoreboard trajectory paired with 55% shoe-penetration state DEP246 (Four (4) -> 11/187).

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

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

DEP246 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.

DEP246 Rank 4 Supply
11 of 32 Remaining (5.88%)

Compares depleted density 5.88% against fresh 8-deck baseline 7.69% for Four (4).

DEP246 Player Draw vs Banker Stand Shift
P-Draw -34 bps / B-Stand 18 bps

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

DEP246 Fixed Tableau Gate
BANKER_TABLEAU[6][7] = true

Card removal alters entry probabilities into (6, 7) but never alters the fixed DRAW rule.

DEP246 Sample Coup Resolution
P(A+4)+7=2 vs B(3+3)=1 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP246.

COMBINATORIAL DEPLETION · DEP246

How Removing Four (4) at 229 Cards Affects B6 Draw 6-7 Gate (DEP246)

When shoe [DEP246] advances to 229 cards (55% depth), Four (4) supply drops from 32/416 (7.69%) to 11/187 (5.88%), nudging the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP246-B] Since Four (4) contributes 4 points, scarcity in [DEP246] moves Player draw probability by -34 bps and Banker stand probability by 18 bps without ever changing BANKER_TABLEAU[6][7] (draws a sixth card).

Depletion Matrix for DEP246 (Four (4) at 229/416 Cards)
DEP246 MetricDEP246 Fresh 416-ShoeDEP246 At 229 DealtDEP246 Tableau Effect
[DEP246:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP246:Rank]32/416 (7.69%)11/187 (5.88%)Point Value 4
[DEP246:Shift]Baseline Draw/StandP -34 bps / B 18 bpsB6 Draw 6-7 Gate
[DEP246:Hand]P=5 vs B=6, P3=7P=2 vs B=16c (P)
  • [DEP246-1] Verify [DEP246] 187 unseen cards remain after 229/416 exit.
  • [DEP246-2] Compare [DEP246] Four (4) density (11/187=5.88%) vs 7.69%.
  • [DEP246-3] Apply [DEP246] BANKER_TABLEAU[6][7]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP246

Why DEP246 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP246-C4] Auditioning [DEP246] at depth, Player opens 5 + 7 -> 2 while Banker opens 6 -> 1 across 6c (P in [DEP246]). Across [DEP246] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP246] BBPPBPPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Four (4) is depleted to 11/187 in DEP246, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[6][7] remains true at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP246 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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