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SHOE PENETRATION & DEPLETION [DEP254] · 70% DEPTH

Jack (J) Depletion at 291/416 Cards (70%): B6 Draw 6-7 Gate Impact #254

In shoe-depletion analysis DEP254, 291 of 416 cards (70%) have exited the shoe, leaving 7 copies of Jack (J) among 125 unseen cards (5.60% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by -46 bps.

DEP254 Shoe Depth
291/416 (70%)
DEP254 J Density
7/125 (5.60%)
DEP254 Draw Delta
-46 bps
DEP254 Tableau Gate
B6vP7:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 70% shoe-penetration state DEP254 (Jack (J) -> 7/125).

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 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

Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 5 has 2 beads. 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 2 beads. 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

DEP254 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.

DEP254 Rank J Supply
7 of 32 Remaining (5.60%)

Compares depleted density 5.60% against fresh 8-deck baseline 7.69% for Jack (J).

DEP254 Player Draw vs Banker Stand Shift
P-Draw -46 bps / B-Stand 31 bps

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

DEP254 Fixed Tableau Gate
BANKER_TABLEAU[6][7] = true

Card removal alters entry probabilities into (6, 7) but never alters the fixed DRAW rule.

DEP254 Sample Coup Resolution
P(7+4)+7=8 vs B(3+3)=5 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP254.

COMBINATORIAL DEPLETION · DEP254

How Removing Jack (J) at 291 Cards Affects B6 Draw 6-7 Gate (DEP254)

At penetration mark [DEP254] (291 dealt, 125 undealt), Jack (J) weight is 7/125 (5.60% vs 7.69%), adjusting fifth-card entry into the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP254-B] Under [DEP254], Jack (J) (0 pts) scarcity recalibrates Player draw entry (-46 bps) and Banker stand frequency (31 bps), while `bankerShouldDraw(6, 7)` draws a sixth card.

Depletion Matrix for DEP254 (Jack (J) at 291/416 Cards)
DEP254 MetricDEP254 Fresh 416-ShoeDEP254 At 291 DealtDEP254 Tableau Effect
[DEP254:Shoe]416 Cards (0% Dealt)125 Left (70% Dealt)Deep-Shoe Segment (5.6 decks dealt)
[DEP254:Rank]32/416 (7.69%)7/125 (5.60%)Point Value 0
[DEP254:Shift]Baseline Draw/StandP -46 bps / B 31 bpsB6 Draw 6-7 Gate
[DEP254:Hand]P=1 vs B=6, P3=7P=8 vs B=56c (P)
  • [DEP254-1] Verify [DEP254] 125 unseen cards remain after 291/416 exit.
  • [DEP254-2] Compare [DEP254] Jack (J) density (7/125=5.60%) vs 7.69%.
  • [DEP254-3] Apply [DEP254] BANKER_TABLEAU[6][7]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP254

Why DEP254 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP254-C8] Auditioning [DEP254] at depth, Player opens 1 + 7 -> 8 while Banker opens 6 -> 5 across 6c (P in [DEP254]). Across [DEP254] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP254] BBPPPBBPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Jack (J) is depleted to 7/125 in DEP254, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[6][7] remains true at every shoe depth.
MythDeep shoe penetration at 291/416 cards in DEP254 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

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • 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