Removing 3 of 4 Ace (1-Point Pip) (Ace-1) cards at 70% penetration of a 1-deck (52-card) shoe leaves 1 Ace-1 cards inside a 16-card stub (DEP015), producing 45.9612% Banker wins, 44.5232% Player wins, 9.5156% Ties, and a 0.8601% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBBPPBBPPBPTBPB) illustrating derived-road symmetry checks alongside DEP015 (1D Ace-1 at 70% 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.
70% 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 5% settlement.
Resolved at 44.5232% Player win rate with 0.9368 unit standard deviation.
Produces a 14.3593% house hold on the 8-to-1 Tie wager in state DEP015.
Audit DEP015 evaluates a 1-deck (52-card) shoe at 70% penetration where 3 of 4 Ace (1-Point Pip) cards have exited, leaving 1 Ace-1 cards inside the 16-card stub with Banker EV at -0.8601% under 5%.
In 1D audit DEP015 (16/52 stub at 70% depth), when fewer aces remain, (dep015-ace-1) player 7 and 8 third-card (16c) transitions from 6 and 7 (dep015-ace-1·16c) occur less often during six-card resolutions. Removing 3 Ace-1 cards (+0.44 bps per card) alongside 5% Vig rules sets Tie hold to 14.3593% (9.5156% frequency).
| Wager / Metric | State DEP015 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP015 Banker (5% Vig) | 45.9612% (-0.8601% EV) | 45.9595% | DEP015 1D 70% (1 Ace-1) |
| DEP015 Player (1:1) | 44.5232% (-1.4380% EV) | 44.5249% | DEP015 16-card 1D stub (0.9368 SD) |
| DEP015 Tie (8:1) | 9.5156% (-14.3593% EV) | 9.5156% | DEP015 Ace-1 (3 out, 1 in) |
Across 100-hand session horizons at state DEP015 (1D 70% depth, 1/4 Ace-1 in 16 cards), single-hand dispersion (0.9368 SD) dominates the 0.8601% (5% Vig) Banker and 1.4380% Player expectation gap.
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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.
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