Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Depletion #234
SHOE PENETRATION & DEPLETION [DEP234] · 40% DEPTH

Six (6) Depletion at 166/416 Cards (40%): B6 Draw 6-7 Gate Impact #234

In shoe-depletion analysis DEP234, 166 of 416 cards (40%) have exited the shoe, leaving 16 copies of Six (6) among 250 unseen cards (6.40% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by 39 bps.

DEP234 Shoe Depth
166/416 (40%)
DEP234 6 Density
16/250 (6.40%)
DEP234 Draw Delta
39 bps
DEP234 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 B P B B P B B B P P P B B B B P
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard trajectory paired with 40% shoe-penetration state DEP234 (Six (6) -> 16/250).

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

DEP234 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.

DEP234 Rank 6 Supply
16 of 32 Remaining (6.40%)

Compares depleted density 6.40% against fresh 8-deck baseline 7.69% for Six (6).

DEP234 Player Draw vs Banker Stand Shift
P-Draw 39 bps / B-Stand -27 bps

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

DEP234 Fixed Tableau Gate
BANKER_TABLEAU[6][7] = true

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

DEP234 Sample Coup Resolution
P(A+4)+7=2 vs B(3+3)=1 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP234.

COMBINATORIAL DEPLETION · DEP234

How Removing Six (6) at 166 Cards Affects B6 Draw 6-7 Gate (DEP234)

In depletion audit [DEP234], an 8-deck shoe reaches Mid-Early Penetration (3.2 decks dealt) with 250 cards left and 16 copies of Six (6) (6.40% vs 7.69%), directly shifting the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP234-B] With Six (6) valued at 6 mod 10, its removal moves Player fifth-card draw entry by 39 bps and Banker pat rate by -27 bps; yet inside cell (B=6, P3=7), Banker deterministically draws a sixth card.

Depletion Matrix for DEP234 (Six (6) at 166/416 Cards)
DEP234 MetricDEP234 Fresh 416-ShoeDEP234 At 166 DealtDEP234 Tableau Effect
[DEP234:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP234:Rank]32/416 (7.69%)16/250 (6.40%)Point Value 6
[DEP234:Shift]Baseline Draw/StandP 39 bps / B -27 bpsB6 Draw 6-7 Gate
[DEP234:Hand]P=5 vs B=6, P3=7P=2 vs B=16c (P)
  • [DEP234-1] Verify [DEP234] 250 unseen cards remain after 166/416 exit.
  • [DEP234-2] Compare [DEP234] Six (6) density (16/250=6.40%) vs 7.69%.
  • [DEP234-3] Apply [DEP234] BANKER_TABLEAU[6][7]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP234

Why DEP234 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP234-C11] Auditioning [DEP234] at depth, Player opens 5 + 7 -> 2 while Banker opens 6 -> 1 across 6c (P in [DEP234]). Across [DEP234] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP234] BBPPBPBBPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Six (6) is depleted to 16/250 in DEP234, 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 166/416 cards in DEP234 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