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SHOE PENETRATION & DEPLETION [DEP313] · 55% DEPTH

Ace (A) Depletion at 229/416 Cards (55%): P0-5 vs B-Stand Impact #313

In shoe-depletion analysis DEP313, 229 of 416 cards (55%) have exited the shoe, leaving 12 copies of Ace (A) among 187 unseen cards (6.42% vs baseline 7.69%) and shifting P0-5 vs B-Stand frequency by -36 bps.

DEP313 Shoe Depth
229/416 (55%)
DEP313 A Density
12/187 (6.42%)
DEP313 Draw Delta
-36 bps
DEP313 Tableau Gate
B2vP0:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 55% shoe-penetration state DEP313 (Ace (A) -> 12/187).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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.

Small Road Mark #3

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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

DEP313 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.

DEP313 Rank A Supply
12 of 32 Remaining (6.42%)

Compares depleted density 6.42% against fresh 8-deck baseline 7.69% for Ace (A).

DEP313 Player Draw vs Banker Stand Shift
P-Draw -36 bps / B-Stand 12 bps

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

DEP313 Fixed Tableau Gate
BANKER_TABLEAU[2][0] = true

Card removal alters entry probabilities into (2, 0) but never alters the fixed DRAW rule.

DEP313 Sample Coup Resolution
P(10+K)+10=0 vs B(8+4)=7 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP313.

COMBINATORIAL DEPLETION · DEP313

How Removing Ace (A) at 229 Cards Affects P0-5 vs B-Stand (DEP313)

Tracking [DEP313] across 229/416 dealt cards leaves 12 remaining Ace (A) cards in the 187-card stub (6.42% vs baseline 7.69%), reshaping probabilities for the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP313-B] Point value 1 (Ace (A)) directly feeds two-card sums: depleting it alters Player draw likelihood by -36 bps and Banker stand frequency by 12 bps, while Banker 2 vs P3=0 always draws a sixth card.

Depletion Matrix for DEP313 (Ace (A) at 229/416 Cards)
DEP313 MetricDEP313 Fresh 416-ShoeDEP313 At 229 DealtDEP313 Tableau Effect
[DEP313:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP313:Rank]32/416 (7.69%)12/187 (6.42%)Point Value 1
[DEP313:Shift]Baseline Draw/StandP -36 bps / B 12 bpsP0-5 vs B-Stand
[DEP313:Hand]P=0 vs B=2, P3=0P=0 vs B=76c (B)
  • [DEP313-1] Verify [DEP313] 187 unseen cards remain after 229/416 exit.
  • [DEP313-2] Compare [DEP313] Ace (A) density (12/187=6.42%) vs 7.69%.
  • [DEP313-3] Apply [DEP313] BANKER_TABLEAU[2][0]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP313

Why DEP313 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP313-C5] Auditioning [DEP313] at depth, Player opens 0 + 0 -> 0 while Banker opens 2 -> 7 across 6c (B in [DEP313]). Across [DEP313] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP313] PPBBPPBBBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Ace (A) is depleted to 12/187 in DEP313, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[2][0] remains true at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP313 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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