Removing 2 of 8 Nine-Pip Card (Rank-9) cards at 25% penetration of a 2-deck (104-card) shoe leaves 6 Rank-9 cards inside a 78-card stub (DEP173), producing 45.8996% Banker wins, 44.5678% Player wins, 9.5326% Ties, and a 0.9632% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP173 (2D Rank-9 at 25% 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.
25% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
2 9-pip cards (top Natural 9 generator) removed from the 2D pack.
Resolved at 45.8996% Banker win rate under 5% settlement.
Resolved at 44.5678% Player win rate with 0.9347 unit standard deviation.
Produces a 14.2067% house hold on the 8-to-1 Tie wager in state DEP173.
At 25% penetration of a 104-card (2D) shoe, state DEP173 isolates 2 dealt Rank-9 cards (6 remaining inside 78 stub cards), yielding 45.8996% Banker wins, 44.5678% Player wins, and 0.9347 per-hand standard deviation under 5%.
Comparing initial 104-card 2D weights against stub DEP173 (78 cards, 25% depth, 6 Rank-9 left) illustrates how rank 9 paired with (dep173) any ten or face card (2d-25%) creates an unbeatable two-card natural (dep173·2d-25%) 9 that halts all third-card drawing on both sides (-0.23 bps slope, 0.9632% 5% Vig edge).
| Wager / Metric | State DEP173 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP173 Banker (5% Vig) | 45.8996% (-0.9632% EV) | 45.8998% | DEP173 2D 25% (6 Rank-9) |
| DEP173 Player (1:1) | 44.5678% (-1.3317% EV) | 44.5676% | DEP173 78-card 2D stub (0.9347 SD) |
| DEP173 Tie (8:1) | 9.5326% (-14.2067% EV) | 9.5326% | DEP173 Rank-9 (2 out, 6 in) |
Scoreboard literacy in DEP173 separates two independent concepts: 2D card-removal math (6 Rank-9 left in 78 cards at 25% depth, 0.9347 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).
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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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