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SHOE PENETRATION & DEPLETION [DEP155] · 40% DEPTH

Ten (10) Depletion at 166/416 Cards (40%): B5 Draw 4-7 Gate Impact #155

In shoe-depletion analysis DEP155, 166 of 416 cards (40%) have exited the shoe, leaving 15 copies of Ten (10) among 250 unseen cards (6.00% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -14 bps.

DEP155 Shoe Depth
166/416 (40%)
DEP155 10 Density
15/250 (6.00%)
DEP155 Draw Delta
-14 bps
DEP155 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 P B P P P B B B P P P P B
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard trajectory paired with 40% shoe-penetration state DEP155 (Ten (10) -> 15/250).

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 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

DEP155 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.

DEP155 Rank 10 Supply
15 of 32 Remaining (6.00%)

Compares depleted density 6.00% against fresh 8-deck baseline 7.69% for Ten (10).

DEP155 Player Draw vs Banker Stand Shift
P-Draw -14 bps / B-Stand 37 bps

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

DEP155 Fixed Tableau Gate
BANKER_TABLEAU[5][6] = true

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

DEP155 Sample Coup Resolution
P(2+2)+6=0 vs B(A+4)=4 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP155.

COMBINATORIAL DEPLETION · DEP155

How Removing Ten (10) at 166 Cards Affects B5 Draw 4-7 Gate (DEP155)

[DEP155] At 166 cards dealt (40% shoe depth, 250 undealt), removing 17 copies of Ten (10) leaves 15/250 (6.00% vs fresh-shoe 7.69%) entering the Banker 5 four-value draw threshold against 4..7.

[DEP155-B] Because Ten (10) carries point value 0, thinning this rank shifts Player 0..5 drawing frequency by -14 bps and Banker standing frequency by 37 bps while BANKER_TABLEAU[5][6]=true still draws a sixth card.

Depletion Matrix for DEP155 (Ten (10) at 166/416 Cards)
DEP155 MetricDEP155 Fresh 416-ShoeDEP155 At 166 DealtDEP155 Tableau Effect
[DEP155:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP155:Rank]32/416 (7.69%)15/250 (6.00%)Point Value 0
[DEP155:Shift]Baseline Draw/StandP -14 bps / B 37 bpsB5 Draw 4-7 Gate
[DEP155:Hand]P=4 vs B=5, P3=6P=0 vs B=46c (B)
  • [DEP155-1] Verify [DEP155] 250 unseen cards remain after 166/416 exit.
  • [DEP155-2] Compare [DEP155] Ten (10) density (15/250=6.00%) vs 7.69%.
  • [DEP155-3] Apply [DEP155] BANKER_TABLEAU[5][6]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP155

Why DEP155 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP155-C4] Auditioning [DEP155] at depth, Player opens 4 + 6 -> 0 while Banker opens 5 -> 4 across 6c (B in [DEP155]). Across [DEP155] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP155] PPBBPBPPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Ten (10) is depleted to 15/250 in DEP155, 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 166/416 cards in DEP155 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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