Removing 3 of 4 Nine-Pip Card (Rank-9) cards at 80% penetration of a 1-deck (52-card) shoe leaves 1 Rank-9 cards inside a 10-card stub (DEP089), producing 45.9586% Banker wins, 44.5259% Player wins, 9.5156% Ties, and a 1.2603% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP089 (1D 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 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.
80% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
3 9-pip cards (top Natural 9 generator) removed from the 1D pack.
Resolved at 45.9586% Banker win rate under Super 6 settlement.
Resolved at 44.5259% Player win rate with 0.9402 unit standard deviation.
Produces a 14.3600% house hold on the 8-to-1 Tie wager in state DEP089.
At 80% penetration of a 52-card (1D) shoe, state DEP089 isolates 3 dealt Rank-9 cards (1 remaining inside 10 stub cards), yielding 45.9586% Banker wins, 44.5259% Player wins, and 0.9402 per-hand standard deviation under Super 6.
Combinatorial weighting in DEP089 (10 cards left from 52 at 80% depth) is governed by two rules: rank 9 paired with (dep089) any ten or face card (1d-80%) creates an unbeatable two-card natural (dep089·1d-80%) 9 that halts all third-card drawing on both sides, and only 20% of the (dep089-1d) initial shoe remains undealt while (1/4) winning banker 6 hands forfeit (dep089-1d·1/4) half their payout (-0.23 bps per Rank-9 removed).
| Wager / Metric | State DEP089 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP089 Banker (Super 6) | 45.9586% (-1.2603% EV) | 45.9595% | DEP089 1D 80% (1 Rank-9) |
| DEP089 Player (1:1) | 44.5259% (-1.4327% EV) | 44.5249% | DEP089 10-card 1D stub (0.9402 SD) |
| DEP089 Tie (8:1) | 9.5156% (-14.3600% EV) | 9.5156% | DEP089 Rank-9 (3 out, 1 in) |
Learners auditing DEP089 (1D at 80% depth, 1/4 Rank-9 in 10 stub cards) can verify that Super 6 house hold (1.2603% Banker, 1.4327% Player, 14.3600% Tie) operates independently of prior Big Road streaks.
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