Removing 7 of 16 Ace (1-Point Pip) (Ace-1) cards at 40% penetration of a 4-deck (208-card) shoe leaves 9 Ace-1 cards inside a 125-card stub (DEP192), producing 45.8740% Banker wins, 44.5842% Player wins, 9.5418% Ties, and a 0.5451% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) illustrating derived-road symmetry checks alongside DEP192 (4D Ace-1 at 40% 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.
40% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
7 Ace cards valued at 1 modulo-10 point removed from the 4D pack.
Resolved at 45.8740% Banker win rate under 4% settlement.
Resolved at 44.5842% Player win rate with 0.9338 unit standard deviation.
Produces a 14.1236% house hold on the 8-to-1 Tie wager in state DEP192.
Depletion matrix entry DEP192 pairs 4D (208 cards) at 40% penetration with 7 removed Ace (1-Point Pip) cards (9 left in 125 cards), fixing per-hand volatility at 0.9338 and Banker house hold at 0.5451% (4% Vig).
For DEP192 (4-deck shoe, 40% dealt), removing aces slightly favors (dep192) banker because banker stands on (4d-40%) 6 against player third-card ace (dep192·4d-40%) while player must draw on 0–5. Holding 9 of 16 Ace-1 cards in a 125-card stub with +0.44 bps rank slope yields 45.8740% Banker, 44.5842% Player, and 9.5418% Tie.
| Wager / Metric | State DEP192 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP192 Banker (4% Vig) | 45.8740% (-0.5451% EV) | 45.8732% | DEP192 4D 40% (9 Ace-1) |
| DEP192 Player (1:1) | 44.5842% (-1.2899% EV) | 44.5850% | DEP192 125-card 4D stub (0.9338 SD) |
| DEP192 Tie (8:1) | 9.5418% (-14.1236% EV) | 9.5418% | DEP192 Ace-1 (7 out, 9 in) |
Statistical verification of DEP192 (4D, 40% penetration, 9 Ace (1-Point Pip) cards in 125 stub cards) demonstrates why single-rank depletion (7 Ace-1 dealt) shifts edges by basis points around -0.5451% (4% Vig).
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