Removing 1 of 4 Nine-Pip Card (Rank-9) cards at 25% penetration of a 1-deck (52-card) shoe leaves 3 Rank-9 cards inside a 39-card stub (DEP083), producing 45.9593% Banker wins, 44.5251% Player wins, 9.5156% Ties, and a 0.8638% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP083 (1D 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.
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.
25% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
1 9-pip cards (top Natural 9 generator) removed from the 1D pack.
Resolved at 45.9593% Banker win rate under 5% settlement.
Resolved at 44.5251% Player win rate with 0.9347 unit standard deviation.
Produces a 14.3597% house hold on the 8-to-1 Tie wager in state DEP083.
Shoe-stub analysis DEP083 inspects 39 remaining cards at 25% penetration of a 52-card (1D) pack after 1 Nine-Pip Card cards have cleared, leaving 3 Rank-9 cards and a 0.8638% 5% Banker edge.
In six-card resolution tree DEP083 (1D at 25% depth, 39 cards left), when 9s are depleted (dep083-rank-9) late in the shoe, more (39c) hands bypass four-card natural resolution (dep083-rank-9·39c) and enter the five- and six-card tableau; removing 1 of 4 Rank-9 cards (-0.23 bps weight) leaves Banker at -0.8638% EV under 5%.
| Wager / Metric | State DEP083 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP083 Banker (5% Vig) | 45.9593% (-0.8638% EV) | 45.9595% | DEP083 1D 25% (3 Rank-9) |
| DEP083 Player (1:1) | 44.5251% (-1.4341% EV) | 44.5249% | DEP083 39-card 1D stub (0.9347 SD) |
| DEP083 Tie (8:1) | 9.5156% (-14.3597% EV) | 9.5156% | DEP083 Rank-9 (1 out, 3 in) |
Whether DEP083 is observed in single-deck laboratory benchmarks and historical pitch audits at 25% depth (39/52 cards left, 3 Rank-9 remaining), 5% Vig settlement locks Banker EV at -0.8638% and Player EV at -1.4341% with 9.5156% Ties.
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About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
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