Removing 26 of 32 Eight-Pip Card (Rank-8) cards at 70% penetration of a 8-deck (416-card) shoe leaves 6 Rank-8 cards inside a 125-card stub (DEP438), producing 45.8576% Banker wins, 44.6268% Player wins, 9.5155% Ties, and a 1.0621% Banker house edge under 5%.
Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP438 (8D Rank-8 at 70% depth).
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
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.
70% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
26 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 8D pack.
Resolved at 45.8576% Banker win rate under 5% settlement.
Resolved at 44.6268% Player win rate with 0.9389 unit standard deviation.
Produces a 14.3603% house hold on the 8-to-1 Tie wager in state DEP438.
Finite-shoe specification DEP438 tracks Rank-8 removal at 70% depth in 8-deck play: with 6 of 32 Eight-Pip Card cards left in the 125-card stub, Tie incidence is 9.5155% and Banker expectation settles at -1.0621% (5% Vig).
Combinatorial weighting in DEP438 (125 cards left from 416 at 70% depth) is governed by two rules: on banker total 3, (dep438) banker draws against every player (8d-70%) third card except 8; removing (dep438·8d-70%) 8s eliminates banker 3's sole standing exception, and with 70% of cards (dep438-8d) dealt and 30% remaining ahead (6/32) of the cut card, winning (dep438-8d·6/32) banker bets pay 0.95 to 1 (-0.50 bps per Rank-8 removed).
| Wager / Metric | State DEP438 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP438 Banker (5% Vig) | 45.8576% (-1.0621% EV) | 45.8597% | DEP438 8D 70% (6 Rank-8) |
| DEP438 Player (1:1) | 44.6268% (-1.2308% EV) | 44.6247% | DEP438 125-card 8D stub (0.9389 SD) |
| DEP438 Tie (8:1) | 9.5155% (-14.3603% EV) | 9.5156% | DEP438 Rank-8 (26 out, 6 in) |
Learners auditing DEP438 (8D at 70% depth, 6/32 Rank-8 in 125 stub cards) can verify that 5% house hold (1.0621% Banker, 1.2308% Player, 14.3603% Tie) operates independently of prior Big Road streaks.
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