Removing 2 of 8 Eight-Pip Card (Rank-8) cards at 25% penetration of a 2-deck (104-card) shoe leaves 6 Rank-8 cards inside a 78-card stub (DEP164), producing 45.8993% Banker wins, 44.5681% Player wins, 9.5326% Ties, and a 0.9638% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPBPBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP164 (2D Rank-8 at 25% 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.
25% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
2 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 2D pack.
Resolved at 45.8993% Banker win rate under 5% settlement.
Resolved at 44.5681% Player win rate with 0.9344 unit standard deviation.
Produces a 14.2068% house hold on the 8-to-1 Tie wager in state DEP164.
Depletion matrix entry DEP164 pairs 2D (104 cards) at 25% penetration with 2 removed Eight-Pip Card cards (6 left in 78 cards), fixing per-hand volatility at 0.9344 and Banker house hold at 0.9638% (5% Vig).
On Banker total 3, (DEP164) Banker draws against every Player (2D-25%) third card except 8; removing (DEP164·2D-25%) 8s eliminates Banker 3's sole standing exception. In state DEP164 (2D, 25% depth), each removed Rank-8 card applies a -0.50 bps baseline directional pressure before scaling to the 78-card remainder (6 Rank-8 left), while One-quarter of the shoe (DEP164-2D) has exited the carrier and (6/8) winning Banker wagers pay 0.95 (DEP164-2D·6/8) to 1 after 5% house tax.
| Wager / Metric | State DEP164 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP164 Banker (5% Vig) | 45.8993% (-0.9638% EV) | 45.8998% | DEP164 2D 25% (6 Rank-8) |
| DEP164 Player (1:1) | 44.5681% (-1.3312% EV) | 44.5676% | DEP164 78-card 2D stub (0.9344 SD) |
| DEP164 Tie (8:1) | 9.5326% (-14.2068% EV) | 9.5326% | DEP164 Rank-8 (2 out, 6 in) |
Learners auditing DEP164 (2D at 25% depth, 6/8 Rank-8 in 78 stub cards) can verify that 5% house hold (0.9638% Banker, 1.3312% Player, 14.2068% Tie) operates independently of prior Big Road streaks.
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