Removing 29 of 32 Nine-Pip Card (Rank-9) cards at 80% penetration of a 8-deck (416-card) shoe leaves 3 Rank-9 cards inside a 83-card stub (DEP449), producing 45.8586% Banker wins, 44.6259% Player wins, 9.5156% Ties, and a 1.4603% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPBBPPBPTBPBBPBP) illustrating derived-road symmetry checks alongside DEP449 (8D Rank-9 at 80% 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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
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.
80% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
29 9-pip cards (top Natural 9 generator) removed from the 8D pack.
Resolved at 45.8586% Banker win rate under Super 6 settlement.
Resolved at 44.6259% Player win rate with 0.9402 unit standard deviation.
Produces a 14.3600% house hold on the 8-to-1 Tie wager in state DEP449.
Audit DEP449 evaluates a 8-deck (416-card) shoe at 80% penetration where 29 of 32 Nine-Pip Card cards have exited, leaving 3 Rank-9 cards inside the 83-card stub with Banker EV at -1.4603% under Super 6.
Combinatorial weighting in DEP449 (83 cards left from 416 at 80% depth) is governed by two rules: rank 9 paired with (dep449) any ten or face card (8d-80%) creates an unbeatable two-card natural (dep449·8d-80%) 9 that halts all third-card drawing on both sides, and only 20% of the (dep449-8d) initial shoe remains undealt while (3/32) winning banker 6 hands forfeit (dep449-8d·3/32) half their payout (-0.23 bps per Rank-9 removed).
| Wager / Metric | State DEP449 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP449 Banker (Super 6) | 45.8586% (-1.4603% EV) | 45.8597% | DEP449 8D 80% (3 Rank-9) |
| DEP449 Player (1:1) | 44.6259% (-1.2327% EV) | 44.6247% | DEP449 83-card 8D stub (0.9402 SD) |
| DEP449 Tie (8:1) | 9.5156% (-14.3600% EV) | 9.5156% | DEP449 Rank-9 (29 out, 3 in) |
In DEP449, the 83-card 8D stub (80% penetration, 29 of 32 Rank-9 dealt) yields 45.8586% Banker, 44.6259% Player, and 9.5156% Tie outcomes with 0.9402 dispersion under Super 6.
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