Removing 6 of 8 Ace (1-Point Pip) (Ace-1) cards at 70% penetration of a 2-deck (104-card) shoe leaves 2 Ace-1 cards inside a 31-card stub (DEP105), producing 45.9015% Banker wins, 44.5659% Player wins, 9.5326% Ties, and a 0.9595% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP105 (2D 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 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.
70% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
6 Ace cards valued at 1 modulo-10 point removed from the 2D pack.
Resolved at 45.9015% Banker win rate under 5% settlement.
Resolved at 44.5659% Player win rate with 0.9368 unit standard deviation.
Produces a 14.2063% house hold on the 8-to-1 Tie wager in state DEP105.
Card-removal benchmark DEP105 measures Ace (1-Point Pip) (Ace-1) scarcity at 70% depth in a 2-deck shoe: 6 removed ranks leave 2 in the 31-card remainder, shifting Banker win share to 45.9015% (0.9595% edge, 5% Vig).
In six-card resolution tree DEP105 (2D at 70% depth, 31 cards left), when fewer aces remain, (dep105-ace-1) player 7 and 8 third-card (31c) transitions from 6 and 7 (dep105-ace-1·31c) occur less often during six-card resolutions; removing 6 of 8 Ace-1 cards (+0.44 bps weight) leaves Banker at -0.9595% EV under 5%.
| Wager / Metric | State DEP105 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP105 Banker (5% Vig) | 45.9015% (-0.9595% EV) | 45.8998% | DEP105 2D 70% (2 Ace-1) |
| DEP105 Player (1:1) | 44.5659% (-1.3356% EV) | 44.5676% | DEP105 31-card 2D stub (0.9368 SD) |
| DEP105 Tie (8:1) | 9.5326% (-14.2063% EV) | 9.5326% | DEP105 Ace-1 (6 out, 2 in) |
Across 100-hand session horizons at state DEP105 (2D 70% depth, 2/8 Ace-1 in 31 cards), single-hand dispersion (0.9368 SD) dominates the 0.9595% (5% Vig) Banker and 1.3356% Player expectation gap.
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About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
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