Removing 5 of 8 Nine-Pip Card (Rank-9) cards at 50% penetration of a 2-deck (104-card) shoe leaves 3 Rank-9 cards inside a 52-card stub (DEP175), producing 45.8991% Banker wins, 44.5683% Player wins, 9.5326% Ties, and a 1.3621% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPBBPPBBPPBPTBPB) illustrating derived-road symmetry checks alongside DEP175 (2D Rank-9 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 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.
50% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
5 9-pip cards (top Natural 9 generator) removed from the 2D pack.
Resolved at 45.8991% Banker win rate under Super 6 settlement.
Resolved at 44.5683% Player win rate with 0.9372 unit standard deviation.
Produces a 14.2069% house hold on the 8-to-1 Tie wager in state DEP175.
Card-removal benchmark DEP175 measures Nine-Pip Card (Rank-9) scarcity at 50% depth in a 2-deck shoe: 5 removed ranks leave 3 in the 52-card remainder, shifting Banker win share to 45.8991% (1.3621% edge, Super 6).
Rank 9 paired with (DEP175) any ten or face card (2D-50%) creates an unbeatable two-card Natural (DEP175·2D-50%) 9 that halts all third-card drawing on both sides. In state DEP175 (2D, 50% depth), each removed Rank-9 card applies a -0.23 bps baseline directional pressure before scaling to the 52-card remainder (3 Rank-9 left), while Banker wins on totals (DEP175-2D) 1–5 and 7–9 pay 1:1 (3/8) while any winning 2-card or (DEP175-2D·3/8) 3-card Banker 6 pays 50 cents on the dollar.
| Wager / Metric | State DEP175 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP175 Banker (Super 6) | 45.8991% (-1.3621% EV) | 45.8998% | DEP175 2D 50% (3 Rank-9) |
| DEP175 Player (1:1) | 44.5683% (-1.3309% EV) | 44.5676% | DEP175 52-card 2D stub (0.9372 SD) |
| DEP175 Tie (8:1) | 9.5326% (-14.2069% EV) | 9.5326% | DEP175 Rank-9 (5 out, 3 in) |
In DEP175, the 52-card 2D stub (50% penetration, 5 of 8 Rank-9 dealt) yields 45.8991% Banker, 44.5683% Player, and 9.5326% Tie outcomes with 0.9372 dispersion under Super 6.
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