Removing 26 of 32 Two-Pip (Deuce) (Rank-2) cards at 70% penetration of a 8-deck (416-card) shoe leaves 6 Rank-2 cards inside a 125-card stub (DEP384), producing 45.8618% Banker wins, 44.6225% Player wins, 9.5157% Ties, and a 1.0537% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) illustrating derived-road symmetry checks alongside DEP384 (8D Rank-2 at 70% 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.
70% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
26 2-pip cards across all four suits removed from the 8D pack.
Resolved at 45.8618% Banker win rate under 5% settlement.
Resolved at 44.6225% Player win rate with 0.9371 unit standard deviation.
Produces a 14.3589% house hold on the 8-to-1 Tie wager in state DEP384.
Under 5% settlement (5% Vig), combinatorial state DEP384 models a 8D carrier with 125 cards left (70% dealt) and 6/32 Two-Pip (Deuce) cards remaining, producing a 1.0537% Banker edge versus 1.2394% on Player.
Mechanical draw trees in DEP384 reflect how depleting 2s shifts the (dep384-rank-2) probability of banker converting a (125c) two-card 4 or 5 into (dep384-rank-2·125c) a winning three-card 6 or 7. At 70% 8D depth (6 Rank-2 left of 32 in 125 cards, +0.52 bps slope), with 70% of cards (dep384-8d) dealt and 30% remaining ahead (6/32) of the cut card, winning (dep384-8d·6/32) banker bets pay 0.95 to 1.
| Wager / Metric | State DEP384 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP384 Banker (5% Vig) | 45.8618% (-1.0537% EV) | 45.8597% | DEP384 8D 70% (6 Rank-2) |
| DEP384 Player (1:1) | 44.6225% (-1.2394% EV) | 44.6247% | DEP384 125-card 8D stub (0.9371 SD) |
| DEP384 Tie (8:1) | 9.5157% (-14.3589% EV) | 9.5156% | DEP384 Rank-2 (26 out, 6 in) |
Learners auditing DEP384 (8D at 70% depth, 6/32 Rank-2 in 125 stub cards) can verify that 5% house hold (1.0537% Banker, 1.2394% Player, 14.3589% Tie) operates independently of prior Big Road streaks.
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