Removing 4 of 32 Four-Pip Card (Rank-4) cards at 10% penetration of a 8-deck (416-card) shoe leaves 28 Rank-4 cards inside a 374-card stub (DEP397), producing 45.8602% Banker wins, 44.6242% Player wins, 9.5156% Ties, and a 1.0570% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP397 (8D Rank-4 at 10% 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.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
10% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
4 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 8D pack.
Resolved at 45.8602% Banker win rate under 5% settlement.
Resolved at 44.6242% Player win rate with 0.9317 unit standard deviation.
Produces a 14.3595% house hold on the 8-to-1 Tie wager in state DEP397.
At 10% penetration of a 416-card (8D) shoe, state DEP397 isolates 4 dealt Rank-4 cards (28 remaining inside 374 stub cards), yielding 45.8602% Banker wins, 44.6242% Player wins, and 0.9317 per-hand standard deviation under 5%.
Rank 4 sits at (DEP397) the exact pivot where Banker (8D-10%) 5 begins drawing (Player third (DEP397·8D-10%) card 4–7) while Banker 3 and 4 also draw. In state DEP397 (8D, 10% depth), each removed Rank-4 card applies a +1.19 bps baseline directional pressure before scaling to the 374-card remainder (28 Rank-4 left), while Winning Banker tickets pay (DEP397-8D) 0.95 units per unit staked (28/32) while 90% of the initial (DEP397-8D·28/32) shoe remains undealt.
| Wager / Metric | State DEP397 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP397 Banker (5% Vig) | 45.8602% (-1.0570% EV) | 45.8597% | DEP397 8D 10% (28 Rank-4) |
| DEP397 Player (1:1) | 44.6242% (-1.2360% EV) | 44.6247% | DEP397 374-card 8D stub (0.9317 SD) |
| DEP397 Tie (8:1) | 9.5156% (-14.3595% EV) | 9.5156% | DEP397 Rank-4 (4 out, 28 in) |
For DEP397 (374 remaining cards in a 416-card 8D shoe at 10% depth), tracking all 4 exited Rank-4 cards moves Banker win rate to 45.8602% (-1.0570% EV, 5% Vig) and Player to 44.6242% (-1.2360% EV).
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