Removing 1 of 4 Eight-Pip Card (Rank-8) cards at 25% penetration of a 1-deck (52-card) shoe leaves 3 Rank-8 cards inside a 39-card stub (DEP074), producing 45.9590% Banker wins, 44.5254% Player wins, 9.5156% Ties, and a 0.8643% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP074 (1D Rank-8 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.
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.
Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.
25% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
1 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 1D pack.
Resolved at 45.9590% Banker win rate under 5% settlement.
Resolved at 44.5254% Player win rate with 0.9344 unit standard deviation.
Produces a 14.3598% house hold on the 8-to-1 Tie wager in state DEP074.
Finite-shoe specification DEP074 tracks Rank-8 removal at 25% depth in 1-deck play: with 3 of 4 Eight-Pip Card cards left in the 39-card stub, Tie incidence is 9.5156% and Banker expectation settles at -0.8643% (5% Vig).
Why does Rank-8 carry a -0.50 bps per-card effect in DEP074? On Banker total 3, (DEP074) Banker draws against every Player (1D-25%) third card except 8; removing (DEP074·1D-25%) 8s eliminates Banker 3's sole standing exception, and at 25% penetration (3 Eight-Pip Card cards left in 39 1D cards), one-quarter of the shoe (dep074-1d) has exited the carrier and (3/4) winning banker wagers pay 0.95 (dep074-1d·3/4) to 1 after 5% house tax.
| Wager / Metric | State DEP074 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP074 Banker (5% Vig) | 45.9590% (-0.8643% EV) | 45.9595% | DEP074 1D 25% (3 Rank-8) |
| DEP074 Player (1:1) | 44.5254% (-1.4336% EV) | 44.5249% | DEP074 39-card 1D stub (0.9344 SD) |
| DEP074 Tie (8:1) | 9.5156% (-14.3598% EV) | 9.5156% | DEP074 Rank-8 (1 out, 3 in) |
Learners auditing DEP074 (1D at 25% depth, 3/4 Rank-8 in 39 stub cards) can verify that 5% house hold (0.8643% Banker, 1.4336% Player, 14.3598% Tie) operates independently of prior Big Road streaks.
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