Removing 2 of 4 Seven-Pip Card (Rank-7) cards at 50% penetration of a 1-deck (52-card) shoe leaves 2 Rank-7 cards inside a 26-card stub (DEP067), producing 45.9576% Banker wins, 44.5268% Player wins, 9.5156% Ties, and a 1.2622% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP067 (1D Rank-7 at 50% 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.
50% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
2 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 1D pack.
Resolved at 45.9576% Banker win rate under Super 6 settlement.
Resolved at 44.5268% Player win rate with 0.9366 unit standard deviation.
Produces a 14.3600% house hold on the 8-to-1 Tie wager in state DEP067.
Removing 2 of 4 Rank-7 cards by the 50% mark of a 1-deck shoe (DEP067, 26 cards left) leaves 2 Seven-Pip Card cards and adjusts conditional probabilities to 45.9576% Banker, 44.5268% Player, and 9.5156% Tie under Super 6.
Combinatorial weighting in DEP067 (26 cards left from 52 at 50% depth) is governed by two rules: player stands pat on (dep067) two-card 7, and a player (1d-50%) third-card 7 is the highest (dep067·1d-50%) card that forces banker 4, 5, and 6 to draw, and banker wins on totals (dep067-1d) 1–5 and 7–9 pay 1:1 (2/4) while any winning 2-card or (dep067-1d·2/4) 3-card banker 6 pays 50 cents on the dollar (-0.83 bps per Rank-7 removed).
| Wager / Metric | State DEP067 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP067 Banker (Super 6) | 45.9576% (-1.2622% EV) | 45.9595% | DEP067 1D 50% (2 Rank-7) |
| DEP067 Player (1:1) | 44.5268% (-1.4308% EV) | 44.5249% | DEP067 26-card 1D stub (0.9366 SD) |
| DEP067 Tie (8:1) | 9.5156% (-14.3600% EV) | 9.5156% | DEP067 Rank-7 (2 out, 2 in) |
Scoreboard literacy in DEP067 separates two independent concepts: 1D card-removal math (2 Rank-7 left in 26 cards at 50% depth, 0.9366 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.
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