Removing 3 of 4 Ace (1-Point Pip) (Ace-1) cards at 75% penetration of a 1-deck (52-card) shoe leaves 1 Ace-1 cards inside a 13-card stub (DEP016), producing 45.9612% Banker wins, 44.5231% Player wins, 9.5156% Ties, and a 0.4004% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) illustrating derived-road symmetry checks alongside DEP016 (1D Ace-1 at 75% 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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.
75% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
3 Ace cards valued at 1 modulo-10 point removed from the 1D pack.
Resolved at 45.9612% Banker win rate under 4% settlement.
Resolved at 44.5231% Player win rate with 0.9373 unit standard deviation.
Produces a 14.3592% house hold on the 8-to-1 Tie wager in state DEP016.
In combinatorial record DEP016, depleting 3 Ace-1 cards across 75% of a 1D (52-card) pack leaves 1 Ace (1-Point Pip) cards among 13 remaining cards, setting Banker win probability to 45.9612% and house edge to 0.4004% (4% Vig).
Why does Ace-1 carry a +0.44 bps per-card effect in DEP016? Removing Aces slightly favors (DEP016) Banker because Banker stands on (1D-75%) 6 against Player third-card Ace (DEP016·1D-75%) while Player must draw on 0–5, and at 75% penetration (1 Ace (1-Point Pip) cards left in 13 1D cards), three-quarters of the shoe (dep016-1d) has been dealt and winning (1/4) banker wagers return 0.96 units (dep016-1d·1/4) net per unit risked.
| Wager / Metric | State DEP016 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP016 Banker (4% Vig) | 45.9612% (-0.4004% EV) | 45.9595% | DEP016 1D 75% (1 Ace-1) |
| DEP016 Player (1:1) | 44.5231% (-1.4381% EV) | 44.5249% | DEP016 13-card 1D stub (0.9373 SD) |
| DEP016 Tie (8:1) | 9.5156% (-14.3592% EV) | 9.5156% | DEP016 Ace-1 (3 out, 1 in) |
On the electronic scoreboard for DEP016 (1D, 75% depth, 13 cards left), Bead Plate and Big Road circles record Banker (45.9612%) and Player (44.5231%) outcomes, whereas Big Eye Boy, Small Road, and Cockroach Pig marks reflect column symmetry rather than Ace-1 card counts (1/4).
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.
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