Removing 9 of 16 Ace (1-Point Pip) (Ace-1) cards at 50% penetration of a 4-deck (208-card) shoe leaves 7 Ace-1 cards inside a 104-card stub (DEP193), producing 45.8743% Banker wins, 44.5839% Player wins, 9.5418% Ties, and a 1.4025% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPBBPPBPTBPBBPBP) illustrating derived-road symmetry checks alongside DEP193 (4D Ace-1 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.
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.
50% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
9 Ace cards valued at 1 modulo-10 point removed from the 4D pack.
Resolved at 45.8743% Banker win rate under Super 6 settlement.
Resolved at 44.5839% Player win rate with 0.9348 unit standard deviation.
Produces a 14.1236% house hold on the 8-to-1 Tie wager in state DEP193.
Removing 9 of 16 Ace-1 cards by the 50% mark of a 4-deck shoe (DEP193, 104 cards left) leaves 7 Ace (1-Point Pip) cards and adjusts conditional probabilities to 45.8743% Banker, 44.5839% Player, and 9.5418% Tie under Super 6.
Mechanical draw trees in DEP193 reflect how when fewer aces remain, (dep193-ace-1) player 7 and 8 third-card (104c) transitions from 6 and 7 (dep193-ace-1·104c) occur less often during six-card resolutions. At 50% 4D depth (7 Ace-1 left of 16 in 104 cards, +0.44 bps slope), banker wins on totals (dep193-4d) 1–5 and 7–9 pay 1:1 (7/16) while any winning 2-card or (dep193-4d·7/16) 3-card banker 6 pays 50 cents on the dollar.
| Wager / Metric | State DEP193 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP193 Banker (Super 6) | 45.8743% (-1.4025% EV) | 45.8732% | DEP193 4D 50% (7 Ace-1) |
| DEP193 Player (1:1) | 44.5839% (-1.2905% EV) | 44.5850% | DEP193 104-card 4D stub (0.9348 SD) |
| DEP193 Tie (8:1) | 9.5418% (-14.1236% EV) | 9.5418% | DEP193 Ace-1 (9 out, 7 in) |
Synthesizing DEP193 (4D at 50% depth, 7 Ace (1-Point Pip) cards left inside 104 stub cards): Super 6 rules produce a 1.4025% Banker edge, 1.2905% Player edge, 14.1236% Tie edge, and 0.9348 unit volatility.
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