Removing 7 of 16 0-Value Tens & Faces (Rank-0) cards at 40% penetration of a 1-deck (52-card) shoe leaves 9 Rank-0 cards inside a 31-card stub (DEP003), producing 45.9608% Banker wins, 44.5235% Player wins, 9.5157% Ties, and a 0.4011% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP003 (1D Rank-0 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 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.
40% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
7 10, Jack, Queen, and King (zero-point cards) removed from the 1D pack.
Resolved at 45.9608% Banker win rate under 4% settlement.
Resolved at 44.5235% Player win rate with 0.9335 unit standard deviation.
Produces a 14.3589% house hold on the 8-to-1 Tie wager in state DEP003.
When a 1D shoe reaches 40% cut-card depth (31 of 52 cards undealt, state DEP003) with 7 0-Value Tens & Faces cards removed and 9 remaining, Player wins 44.5235% (1.4374% edge) while Banker wins 45.9608% (0.4011% edge under 4%).
Under the fixed third-card tableau for DEP003, depleting zero-point cards reduces (dep003) modulo-10 standoffs and alters two-card (1d-40%) natural combinations paired with 8s (dep003·1d-40%) and 9s. With 9 Rank-0 cards inside 31 remaining 1D cards (40% dealt), single-card slope (+0.18 bps) keeps Banker house edge at 0.4011% and Player at 1.4374%.
| Wager / Metric | State DEP003 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP003 Banker (4% Vig) | 45.9608% (-0.4011% EV) | 45.9595% | DEP003 1D 40% (9 Rank-0) |
| DEP003 Player (1:1) | 44.5235% (-1.4374% EV) | 44.5249% | DEP003 31-card 1D stub (0.9335 SD) |
| DEP003 Tie (8:1) | 9.5157% (-14.3589% EV) | 9.5156% | DEP003 Rank-0 (7 out, 9 in) |
For DEP003 (31 remaining cards in a 52-card 1D shoe at 40% depth), tracking all 7 exited Rank-0 cards moves Banker win rate to 45.9608% (-0.4011% EV, 4% Vig) and Player to 44.5235% (-1.4374% EV).
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About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
Train Third-Card Rule decisions, depth counting, lookback column references, and derived-road speed recognition.
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