Removing 74 of 128 0-Value Tens & Faces (Rank-0) cards at 50% penetration of a 8-deck (416-card) shoe leaves 54 Rank-0 cards inside a 208-card stub (DEP364), producing 45.8616% Banker wins, 44.6227% Player wins, 9.5157% Ties, and a 1.4541% Banker house edge under Super 6.
Reference shoe scoreboard (PPBBPPPPBBBBPPBBPB) illustrating derived-road symmetry checks alongside DEP364 (8D Rank-0 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.
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.
50% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
74 10, Jack, Queen, and King (zero-point cards) removed from the 8D pack.
Resolved at 45.8616% Banker win rate under Super 6 settlement.
Resolved at 44.6227% Player win rate with 0.9345 unit standard deviation.
Produces a 14.3587% house hold on the 8-to-1 Tie wager in state DEP364.
Quantitative proof DEP364 documents 8D rank depletion at 50% depth: 74 exited Rank-0 cards leave 54 of 128 in the 208-card stub, generating 45.8616% Banker wins (-1.4541% EV under Super 6) and 44.6227% Player wins.
When 74 Rank-0 cards exit a 8D shoe by 50% penetration (DEP364, 54 left in 208 cards), fewer zero-value draws mean (dep364-rank-0) third-card pulls change running totals (208c) more frequently instead of leaving (dep364-rank-0·208c) totals unchanged, combining a +0.18 bps rank vector with Super 6 settlement (-1.4541% Banker EV).
| Wager / Metric | State DEP364 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP364 Banker (Super 6) | 45.8616% (-1.4541% EV) | 45.8597% | DEP364 8D 50% (54 Rank-0) |
| DEP364 Player (1:1) | 44.6227% (-1.2389% EV) | 44.6247% | DEP364 208-card 8D stub (0.9345 SD) |
| DEP364 Tie (8:1) | 9.5157% (-14.3587% EV) | 9.5156% | DEP364 Rank-0 (74 out, 54 in) |
In DEP364, the 208-card 8D stub (50% penetration, 74 of 128 Rank-0 dealt) yields 45.8616% Banker, 44.6227% Player, and 9.5157% Tie outcomes with 0.9345 dispersion under Super 6.
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