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SHOE PENETRATION & DEPLETION [DEP141] · 25% DEPTH

Ten (10) Depletion at 104/416 Cards (25%): B5 Draw 4-7 Gate Impact #141

In shoe-depletion analysis DEP141, 104 of 416 cards (25%) have exited the shoe, leaving 22 copies of Ten (10) among 312 unseen cards (7.05% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -46 bps.

DEP141 Shoe Depth
104/416 (25%)
DEP141 10 Density
22/312 (7.05%)
DEP141 Draw Delta
-46 bps
DEP141 Tableau Gate
B5vP4: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 P B B P B B B P P P B P P
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = =

Scoreboard trajectory paired with 25% shoe-penetration state DEP141 (Ten (10) -> 22/312).

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 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

DEP141 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.

DEP141 Rank 10 Supply
22 of 32 Remaining (7.05%)

Compares depleted density 7.05% against fresh 8-deck baseline 7.69% for Ten (10).

DEP141 Player Draw vs Banker Stand Shift
P-Draw -46 bps / B-Stand 26 bps

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

DEP141 Fixed Tableau Gate
BANKER_TABLEAU[5][4] = true

Card removal alters entry probabilities into (5, 4) but never alters the fixed DRAW rule.

DEP141 Sample Coup Resolution
P(10+2)+4=6 vs B(A+4)=0 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP141.

COMBINATORIAL DEPLETION · DEP141

How Removing Ten (10) at 104 Cards Affects B5 Draw 4-7 Gate (DEP141)

[DEP141] At 104 cards dealt (25% shoe depth, 312 undealt), removing 10 copies of Ten (10) leaves 22/312 (7.05% vs fresh-shoe 7.69%) entering the Banker 5 four-value draw threshold against 4..7.

[DEP141-B] Because Ten (10) carries point value 0, thinning this rank shifts Player 0..5 drawing frequency by -46 bps and Banker standing frequency by 26 bps while BANKER_TABLEAU[5][4]=true still draws a sixth card.

Depletion Matrix for DEP141 (Ten (10) at 104/416 Cards)
DEP141 MetricDEP141 Fresh 416-ShoeDEP141 At 104 DealtDEP141 Tableau Effect
[DEP141:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP141:Rank]32/416 (7.69%)22/312 (7.05%)Point Value 0
[DEP141:Shift]Baseline Draw/StandP -46 bps / B 26 bpsB5 Draw 4-7 Gate
[DEP141:Hand]P=2 vs B=5, P3=4P=6 vs B=06c (P)
  • [DEP141-1] Verify [DEP141] 312 unseen cards remain after 104/416 exit.
  • [DEP141-2] Compare [DEP141] Ten (10) density (22/312=7.05%) vs 7.69%.
  • [DEP141-3] Apply [DEP141] BANKER_TABLEAU[5][4]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP141

Why DEP141 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP141-C10] Auditioning [DEP141] at depth, Player opens 2 + 4 -> 6 while Banker opens 5 -> 0 across 6c (P in [DEP141]). Across [DEP141] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP141] PPBBPBPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Ten (10) is depleted to 22/312 in DEP141, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][4] remains true at every shoe depth.
MythDeep shoe penetration at 104/416 cards in DEP141 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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