Removing 4 of 8 Two-Pip (Deuce) (Rank-2) cards at 40% penetration of a 2-deck (104-card) shoe leaves 4 Rank-2 cards inside a 62-card stub (DEP111), producing 45.9009% Banker wins, 44.5664% Player wins, 9.5326% Ties, and a 0.5016% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBBPPBBPPBPTBPB) illustrating derived-road symmetry checks alongside DEP111 (2D Rank-2 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 2D (double-deck European salon privé carriers and two-deck shoe pits).
4 2-pip cards across all four suits removed from the 2D pack.
Resolved at 45.9009% Banker win rate under 4% settlement.
Resolved at 44.5664% Player win rate with 0.9341 unit standard deviation.
Produces a 14.2062% house hold on the 8-to-1 Tie wager in state DEP111.
Shoe-stub analysis DEP111 inspects 62 remaining cards at 40% penetration of a 104-card (2D) pack after 4 Two-Pip (Deuce) cards have cleared, leaving 4 Rank-2 cards and a 0.5016% 4% Banker edge.
Tracking DEP111 across 62 remaining 2D cards (40% depth) shows that depleting 2s shifts the (dep111-rank-2) probability of banker converting a (62c) two-card 4 or 5 into (dep111-rank-2·62c) a winning three-card 6 or 7. With 4 Rank-2 cards gone (+0.52 bps unit sensitivity), Banker expectation is -0.5016% (4% Vig) vs -1.3345% on Player.
| Wager / Metric | State DEP111 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP111 Banker (4% Vig) | 45.9009% (-0.5016% EV) | 45.8998% | DEP111 2D 40% (4 Rank-2) |
| DEP111 Player (1:1) | 44.5664% (-1.3345% EV) | 44.5676% | DEP111 62-card 2D stub (0.9341 SD) |
| DEP111 Tie (8:1) | 9.5326% (-14.2062% EV) | 9.5326% | DEP111 Rank-2 (4 out, 4 in) |
Cut-card protocol at 40% depth in DEP111 (2D, 62 stub cards containing 4 Rank-2 cards) ensures the shoe reshuffles long before 4% house hold (0.5016% Banker / 1.3345% Player) is overturned.
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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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