Removing 3 of 4 Eight-Pip Card (Rank-8) cards at 70% penetration of a 1-deck (52-card) shoe leaves 1 Rank-8 cards inside a 16-card stub (DEP078), producing 45.9576% Banker wins, 44.5269% Player wins, 9.5155% Ties, and a 0.8672% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPBPPBBPBPPBBPB) illustrating derived-road symmetry checks alongside DEP078 (1D Rank-8 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.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
70% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
3 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 1D pack.
Resolved at 45.9576% Banker win rate under 5% settlement.
Resolved at 44.5269% Player win rate with 0.9389 unit standard deviation.
Produces a 14.3603% house hold on the 8-to-1 Tie wager in state DEP078.
Within single-deck laboratory benchmarks and historical pitch audits, profile DEP078 examines 70% shoe depletion (16 of 52 cards remaining) after 3 Rank-8 cards exit, leaving 1 Eight-Pip Card cards and a 0.8672% Banker house hold under 5%.
Combinatorial weighting in DEP078 (16 cards left from 52 at 70% depth) is governed by two rules: on banker total 3, (dep078) banker draws against every player (1d-70%) third card except 8; removing (dep078·1d-70%) 8s eliminates banker 3's sole standing exception, and with 70% of cards (dep078-1d) dealt and 30% remaining ahead (1/4) of the cut card, winning (dep078-1d·1/4) banker bets pay 0.95 to 1 (-0.50 bps per Rank-8 removed).
| Wager / Metric | State DEP078 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP078 Banker (5% Vig) | 45.9576% (-0.8672% EV) | 45.9595% | DEP078 1D 70% (1 Rank-8) |
| DEP078 Player (1:1) | 44.5269% (-1.4307% EV) | 44.5249% | DEP078 16-card 1D stub (0.9389 SD) |
| DEP078 Tie (8:1) | 9.5155% (-14.3603% EV) | 9.5156% | DEP078 Rank-8 (3 out, 1 in) |
For DEP078 (16 remaining cards in a 52-card 1D shoe at 70% depth), tracking all 3 exited Rank-8 cards moves Banker win rate to 45.9576% (-0.8672% EV, 5% Vig) and Player to 44.5269% (-1.4307% EV).
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