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SHOE PENETRATION & DEPLETION [DEP085] · 40% DEPTH

Ten (10) Depletion at 166/416 Cards (40%): B4 Draw 2-7 Gate Impact #85

In shoe-depletion analysis DEP085, 166 of 416 cards (40%) have exited the shoe, leaving 17 copies of Ten (10) among 250 unseen cards (6.80% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -34 bps.

DEP085 Shoe Depth
166/416 (40%)
DEP085 10 Density
17/250 (6.80%)
DEP085 Draw Delta
-34 bps
DEP085 Tableau Gate
B4vP2:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 40% shoe-penetration state DEP085 (Ten (10) -> 17/250).

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 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

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

DEP085 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.

DEP085 Rank 10 Supply
17 of 32 Remaining (6.80%)

Compares depleted density 6.80% against fresh 8-deck baseline 7.69% for Ten (10).

DEP085 Player Draw vs Banker Stand Shift
P-Draw -34 bps / B-Stand 13 bps

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

DEP085 Fixed Tableau Gate
BANKER_TABLEAU[4][2] = true

Card removal alters entry probabilities into (4, 2) but never alters the fixed DRAW rule.

DEP085 Sample Coup Resolution
P(10+K)+2=2 vs B(A+3)=2 (T)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP085.

COMBINATORIAL DEPLETION · DEP085

How Removing Ten (10) at 166 Cards Affects B4 Draw 2-7 Gate (DEP085)

[DEP085] At 166 cards dealt (40% shoe depth, 250 undealt), removing 15 copies of Ten (10) leaves 17/250 (6.80% vs fresh-shoe 7.69%) entering the Banker 4 active six-card draw window against 2..7.

[DEP085-B] Because Ten (10) carries point value 0, thinning this rank shifts Player 0..5 drawing frequency by -34 bps and Banker standing frequency by 13 bps while BANKER_TABLEAU[4][2]=true still draws a sixth card.

Depletion Matrix for DEP085 (Ten (10) at 166/416 Cards)
DEP085 MetricDEP085 Fresh 416-ShoeDEP085 At 166 DealtDEP085 Tableau Effect
[DEP085:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP085:Rank]32/416 (7.69%)17/250 (6.80%)Point Value 0
[DEP085:Shift]Baseline Draw/StandP -34 bps / B 13 bpsB4 Draw 2-7 Gate
[DEP085:Hand]P=0 vs B=4, P3=2P=2 vs B=26c (T)
  • [DEP085-1] Verify [DEP085] 250 unseen cards remain after 166/416 exit.
  • [DEP085-2] Compare [DEP085] Ten (10) density (17/250=6.80%) vs 7.69%.
  • [DEP085-3] Apply [DEP085] BANKER_TABLEAU[4][2]=true (6c T).
INDEPENDENCE & ROAD LOGGING · DEP085

Why DEP085 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP085-C8] Auditioning [DEP085] at depth, Player opens 0 + 2 -> 2 while Banker opens 4 -> 2 across 6c (T in [DEP085]). Across [DEP085] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging T onto [DEP085] PPBBBPPPPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Ten (10) is depleted to 17/250 in DEP085, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][2] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP085 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.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android