Removing 5 of 8 Three-Pip (Trey) (Rank-3) cards at 50% penetration of a 2-deck (104-card) shoe leaves 3 Rank-3 cards inside a 52-card stub (DEP121), producing 45.9016% Banker wins, 44.5657% Player wins, 9.5327% Ties, and a 1.3571% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP121 (2D Rank-3 at 50% depth).
Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.
Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.
Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
50% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
5 3-pip cards across all four suits removed from the 2D pack.
Resolved at 45.9016% Banker win rate under Super 6 settlement.
Resolved at 44.5657% Player win rate with 0.9354 unit standard deviation.
Produces a 14.2061% house hold on the 8-to-1 Tie wager in state DEP121.
Across 112,869,612,134,400 initial 2D permutations, depletion node DEP121 narrows to a 52-card stub (50% depth) holding 3 of 8 Rank-3 cards, where Banker resolves at 45.9016% (-1.3571% EV) and Player at 44.5657% (-1.3359% EV).
Why does Rank-3 carry a +0.65 bps per-card effect in DEP121? Banker total 4 draws (DEP121) on Player third-card 3, and (2D-50%) Banker total 5 stands on (DEP121·2D-50%) Player third-card 3, creating asymmetric sensitivity, and at 50% penetration (3 Three-Pip (Trey) cards left in 52 2D cards), banker wins on totals (dep121-2d) 1–5 and 7–9 pay 1:1 (3/8) while any winning 2-card or (dep121-2d·3/8) 3-card banker 6 pays 50 cents on the dollar.
| Wager / Metric | State DEP121 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP121 Banker (Super 6) | 45.9016% (-1.3571% EV) | 45.8998% | DEP121 2D 50% (3 Rank-3) |
| DEP121 Player (1:1) | 44.5657% (-1.3359% EV) | 44.5676% | DEP121 52-card 2D stub (0.9354 SD) |
| DEP121 Tie (8:1) | 9.5327% (-14.2061% EV) | 9.5326% | DEP121 Rank-3 (5 out, 3 in) |
On the electronic scoreboard for DEP121 (2D, 50% depth, 52 cards left), Bead Plate and Big Road circles record Banker (45.9016%) and Player (44.5657%) outcomes, whereas Big Eye Boy, Small Road, and Cockroach Pig marks reflect column symmetry rather than Rank-3 card counts (3/8).
Enter any sequence to inspect the Big Road, Big Eye Boy, Small Road, Cockroach Pig, and next-hand previews.
About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
Train Third-Card Rule decisions, depth counting, lookback column references, and derived-road speed recognition.
Visual step-by-step breakdowns with closed captions, chapter markers, and full searchable transcripts.
Macau Cantonese, French, and mathematical table terms explained in plain English with road diagrams.
Direct answers to real student questions on dragon tails, tie handling, lookback rules, and table variants.
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.