Removing 7 of 8 Two-Pip (Deuce) (Rank-2) cards at 75% penetration of a 2-deck (104-card) shoe leaves 1 Rank-2 cards inside a 26-card stub (DEP115), producing 45.9022% Banker wins, 44.5651% Player wins, 9.5327% Ties, and a 0.4991% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP115 (2D Rank-2 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 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.
75% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
7 2-pip cards across all four suits removed from the 2D pack.
Resolved at 45.9022% Banker win rate under 4% settlement.
Resolved at 44.5651% Player win rate with 0.9376 unit standard deviation.
Produces a 14.2058% house hold on the 8-to-1 Tie wager in state DEP115.
When a 2D shoe reaches 75% cut-card depth (26 of 104 cards undealt, state DEP115) with 7 Two-Pip (Deuce) cards removed and 1 remaining, Player wins 44.5651% (1.3370% edge) while Banker wins 45.9022% (0.4991% edge under 4%).
Comparing initial 104-card 2D weights against stub DEP115 (26 cards, 75% depth, 1 Rank-2 left) illustrates how on banker total 4, (dep115) banker draws against player third-card (2d-75%) 2 through 7; removing 2s (dep115·2d-75%) trims low-pip player third-card triggers (+0.52 bps slope, 0.4991% 4% Vig edge).
| Wager / Metric | State DEP115 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP115 Banker (4% Vig) | 45.9022% (-0.4991% EV) | 45.8998% | DEP115 2D 75% (1 Rank-2) |
| DEP115 Player (1:1) | 44.5651% (-1.3370% EV) | 44.5676% | DEP115 26-card 2D stub (0.9376 SD) |
| DEP115 Tie (8:1) | 9.5327% (-14.2058% EV) | 9.5326% | DEP115 Rank-2 (7 out, 1 in) |
In DEP115, the 26-card 2D stub (75% penetration, 7 of 8 Rank-2 dealt) yields 45.9022% Banker, 44.5651% Player, and 9.5327% Tie outcomes with 0.9376 dispersion under 4% Vig.
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About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
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