Removing 6 of 8 Three-Pip (Trey) (Rank-3) cards at 70% penetration of a 2-deck (104-card) shoe leaves 2 Rank-3 cards inside a 31-card stub (DEP123), producing 45.9023% Banker wins, 44.5651% Player wins, 9.5327% Ties, and a 0.9579% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBBBBPPPPBBPPBP) illustrating derived-road symmetry checks alongside DEP123 (2D Rank-3 at 70% 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.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
70% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
6 3-pip cards across all four suits removed from the 2D pack.
Resolved at 45.9023% Banker win rate under 5% settlement.
Resolved at 44.5651% Player win rate with 0.9374 unit standard deviation.
Produces a 14.2059% house hold on the 8-to-1 Tie wager in state DEP123.
Removing 6 of 8 Rank-3 cards by the 70% mark of a 2-deck shoe (DEP123, 31 cards left) leaves 2 Three-Pip (Trey) cards and adjusts conditional probabilities to 45.9023% Banker, 44.5651% Player, and 9.5327% Tie under 5%.
For DEP123 (2-deck shoe, 70% dealt), banker total 4 draws (dep123) on player third-card 3, and (2d-70%) banker total 5 stands on (dep123·2d-70%) player third-card 3, creating asymmetric sensitivity. Holding 2 of 8 Rank-3 cards in a 31-card stub with +0.65 bps rank slope yields 45.9023% Banker, 44.5651% Player, and 9.5327% Tie.
| Wager / Metric | State DEP123 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP123 Banker (5% Vig) | 45.9023% (-0.9579% EV) | 45.8998% | DEP123 2D 70% (2 Rank-3) |
| DEP123 Player (1:1) | 44.5651% (-1.3372% EV) | 44.5676% | DEP123 31-card 2D stub (0.9374 SD) |
| DEP123 Tie (8:1) | 9.5327% (-14.2059% EV) | 9.5326% | DEP123 Rank-3 (6 out, 2 in) |
For DEP123 (31 remaining cards in a 104-card 2D shoe at 70% depth), tracking all 6 exited Rank-3 cards moves Banker win rate to 45.9023% (-0.9579% EV, 5% Vig) and Player to 44.5651% (-1.3372% 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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