Removing 18 of 32 Eight-Pip Card (Rank-8) cards at 50% penetration of a 8-deck (416-card) shoe leaves 14 Rank-8 cards inside a 208-card stub (DEP436), producing 45.8584% Banker wins, 44.6260% Player wins, 9.5155% Ties, and a 1.4606% Banker house edge under Super 6.
Reference shoe scoreboard (PPBBPBPBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP436 (8D Rank-8 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 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.
50% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
18 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 8D pack.
Resolved at 45.8584% Banker win rate under Super 6 settlement.
Resolved at 44.6260% Player win rate with 0.9369 unit standard deviation.
Produces a 14.3601% house hold on the 8-to-1 Tie wager in state DEP436.
In combinatorial record DEP436, depleting 18 Rank-8 cards across 50% of a 8D (416-card) pack leaves 14 Eight-Pip Card cards among 208 remaining cards, setting Banker win probability to 45.8584% and house edge to 1.4606% (Super 6).
For DEP436 (8-deck shoe, 50% dealt), on banker total 3, (dep436) banker draws against every player (8d-50%) third card except 8; removing (dep436·8d-50%) 8s eliminates banker 3's sole standing exception. Holding 14 of 32 Rank-8 cards in a 208-card stub with -0.50 bps rank slope yields 45.8584% Banker, 44.6260% Player, and 9.5155% Tie.
| Wager / Metric | State DEP436 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP436 Banker (Super 6) | 45.8584% (-1.4606% EV) | 45.8597% | DEP436 8D 50% (14 Rank-8) |
| DEP436 Player (1:1) | 44.6260% (-1.2324% EV) | 44.6247% | DEP436 208-card 8D stub (0.9369 SD) |
| DEP436 Tie (8:1) | 9.5155% (-14.3601% EV) | 9.5156% | DEP436 Rank-8 (18 out, 14 in) |
Statistical verification of DEP436 (8D, 50% penetration, 14 Eight-Pip Card cards in 208 stub cards) demonstrates why single-rank depletion (18 Rank-8 dealt) shifts edges by basis points around -1.4606% (Super 6).
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