Removing 3 of 4 Five-Pip Card (Rank-5) cards at 70% penetration of a 1-deck (52-card) shoe leaves 1 Rank-5 cards inside a 16-card stub (DEP051), producing 45.9563% Banker wins, 44.5282% Player wins, 9.5155% Ties, and a 0.8697% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP051 (1D Rank-5 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.
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.
70% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
3 5-pip cards (final mandatory Player draw threshold) removed from the 1D pack.
Resolved at 45.9563% Banker win rate under 5% settlement.
Resolved at 44.5282% Player win rate with 0.9380 unit standard deviation.
Produces a 14.3603% house hold on the 8-to-1 Tie wager in state DEP051.
Across 14,658,134,400 initial 1D permutations, depletion node DEP051 narrows to a 16-card stub (70% depth) holding 1 of 4 Rank-5 cards, where Banker resolves at 45.9563% (-0.8697% EV) and Player at 44.5282% (-1.4281% EV).
In 1D audit DEP051 (16/52 stub at 70% depth), fewer 5s in the (dep051-rank-5) stub reduce banker third-card improvements (16c) from 3 to 8 and (dep051-rank-5·16c) from 4 to 9. Removing 3 Rank-5 cards (-0.84 bps per card) alongside 5% Vig rules sets Tie hold to 14.3603% (9.5155% frequency).
| Wager / Metric | State DEP051 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP051 Banker (5% Vig) | 45.9563% (-0.8697% EV) | 45.9595% | DEP051 1D 70% (1 Rank-5) |
| DEP051 Player (1:1) | 44.5282% (-1.4281% EV) | 44.5249% | DEP051 16-card 1D stub (0.9380 SD) |
| DEP051 Tie (8:1) | 9.5155% (-14.3603% EV) | 9.5156% | DEP051 Rank-5 (3 out, 1 in) |
Cut-card protocol at 70% depth in DEP051 (1D, 16 stub cards containing 1 Rank-5 cards) ensures the shoe reshuffles long before 5% house hold (0.8697% Banker / 1.4281% Player) is overturned.
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About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
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