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SHOE PENETRATION & DEPLETION [DEP188] · 70% DEPTH

Deuce (2) Depletion at 291/416 Cards (70%): B5 Draw 4-7 Gate Impact #188

In shoe-depletion analysis DEP188, 291 of 416 cards (70%) have exited the shoe, leaving 5 copies of Deuce (2) among 125 unseen cards (4.00% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -12 bps.

DEP188 Shoe Depth
291/416 (70%)
DEP188 2 Density
5/125 (4.00%)
DEP188 Draw Delta
-12 bps
DEP188 Tableau Gate
B5vP7: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 B B P P B P P P B B B P B B
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = =

Scoreboard trajectory paired with 70% shoe-penetration state DEP188 (Deuce (2) -> 5/125).

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

DEP188 Penetration Depth
291 Dealt / 125 Remaining (70%)

Evaluated at Deep-Shoe Segment (5.6 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP188 Rank 2 Supply
5 of 32 Remaining (4.00%)

Compares depleted density 4.00% against fresh 8-deck baseline 7.69% for Deuce (2).

DEP188 Player Draw vs Banker Stand Shift
P-Draw -12 bps / B-Stand 16 bps

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

DEP188 Fixed Tableau Gate
BANKER_TABLEAU[5][7] = true

Card removal alters entry probabilities into (5, 7) but never alters the fixed DRAW rule.

DEP188 Sample Coup Resolution
P(7+4)+7=8 vs B(2+3)=9 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP188.

COMBINATORIAL DEPLETION · DEP188

How Removing Deuce (2) at 291 Cards Affects B5 Draw 4-7 Gate (DEP188)

In finite-shoe state [DEP188], 291 cards have exited the 416-card shoe, leaving 5 Deuce (2) cards in 125 (4.00% vs 7.69%) to govern the Banker 5 four-value draw threshold against 4..7.

[DEP188-B] Even as Deuce (2) (2 pts) depletion shifts Player drawing by -12 bps and Banker standing by 16 bps in [DEP188], Punto Banco law for B=5 vs P3=7 draws a sixth card.

Depletion Matrix for DEP188 (Deuce (2) at 291/416 Cards)
DEP188 MetricDEP188 Fresh 416-ShoeDEP188 At 291 DealtDEP188 Tableau Effect
[DEP188:Shoe]416 Cards (0% Dealt)125 Left (70% Dealt)Deep-Shoe Segment (5.6 decks dealt)
[DEP188:Rank]32/416 (7.69%)5/125 (4.00%)Point Value 2
[DEP188:Shift]Baseline Draw/StandP -12 bps / B 16 bpsB5 Draw 4-7 Gate
[DEP188:Hand]P=1 vs B=5, P3=7P=8 vs B=96c (B)
  • [DEP188-1] Verify [DEP188] 125 unseen cards remain after 291/416 exit.
  • [DEP188-2] Compare [DEP188] Deuce (2) density (5/125=4.00%) vs 7.69%.
  • [DEP188-3] Apply [DEP188] BANKER_TABLEAU[5][7]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP188

Why DEP188 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP188-C1] Auditioning [DEP188] at depth, Player opens 1 + 7 -> 8 while Banker opens 5 -> 9 across 6c (B in [DEP188]). Across [DEP188] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP188] BBPPBPBBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Deuce (2) is depleted to 5/125 in DEP188, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][7] remains true at every shoe depth.
MythDeep shoe penetration at 291/416 cards in DEP188 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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