Removing 1 of 8 Two-Pip (Deuce) (Rank-2) cards at 10% penetration of a 2-deck (104-card) shoe leaves 7 Rank-2 cards inside a 94-card stub (DEP109), producing 45.9000% Banker wins, 44.5674% Player wins, 9.5326% Ties, and a 0.9623% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP109 (2D Rank-2 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 2D (double-deck European salon privé carriers and two-deck shoe pits).
1 2-pip cards across all four suits removed from the 2D pack.
Resolved at 45.9000% Banker win rate under 5% settlement.
Resolved at 44.5674% Player win rate with 0.9311 unit standard deviation.
Produces a 14.2065% house hold on the 8-to-1 Tie wager in state DEP109.
Removing 1 of 8 Rank-2 cards by the 10% mark of a 2-deck shoe (DEP109, 94 cards left) leaves 7 Two-Pip (Deuce) cards and adjusts conditional probabilities to 45.9000% Banker, 44.5674% Player, and 9.5326% Tie under 5%.
In 2D audit DEP109 (94/104 stub at 10% depth), depleting 2s shifts the (dep109-rank-2) probability of banker converting a (94c) two-card 4 or 5 into (dep109-rank-2·94c) a winning three-card 6 or 7. Removing 1 Rank-2 cards (+0.52 bps per card) alongside 5% Vig rules sets Tie hold to 14.2065% (9.5326% frequency).
| Wager / Metric | State DEP109 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP109 Banker (5% Vig) | 45.9000% (-0.9623% EV) | 45.8998% | DEP109 2D 10% (7 Rank-2) |
| DEP109 Player (1:1) | 44.5674% (-1.3327% EV) | 44.5676% | DEP109 94-card 2D stub (0.9311 SD) |
| DEP109 Tie (8:1) | 9.5326% (-14.2065% EV) | 9.5326% | DEP109 Rank-2 (1 out, 7 in) |
Even at 10% penetration in DEP109 where 1 Rank-2 cards have exited a 2D shoe (7 left in 94 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-0.9623% EV, 5% Vig) or Player (-1.3327% EV) is favored next.
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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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Direct answers to real student questions on dragon tails, tie handling, lookback rules, and table variants.
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