Removing 1 of 4 Ace (1-Point Pip) (Ace-1) cards at 25% penetration of a 1-deck (52-card) shoe leaves 3 Ace-1 cards inside a 39-card stub (DEP011), producing 45.9599% Banker wins, 44.5245% Player wins, 9.5156% Ties, and a 0.8625% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBBBBPPPPBBPPBP) illustrating derived-road symmetry checks alongside DEP011 (1D Ace-1 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 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
25% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
1 Ace cards valued at 1 modulo-10 point removed from the 1D pack.
Resolved at 45.9599% Banker win rate under 5% settlement.
Resolved at 44.5245% Player win rate with 0.9323 unit standard deviation.
Produces a 14.3595% house hold on the 8-to-1 Tie wager in state DEP011.
Removing 1 of 4 Ace-1 cards by the 25% mark of a 1-deck shoe (DEP011, 39 cards left) leaves 3 Ace (1-Point Pip) cards and adjusts conditional probabilities to 45.9599% Banker, 44.5245% Player, and 9.5156% Tie under 5%.
Tableau audit DEP011 confirms that removing aces slightly favors (dep011) banker because banker stands on (1d-25%) 6 against player third-card ace (dep011·1d-25%) while player must draw on 0–5. Inside the 39-card 1D stub (25% depth, 3/4 Ace-1 remaining, +0.44 bps slope), standard deviation is 0.9323 under 5% Vig.
| Wager / Metric | State DEP011 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP011 Banker (5% Vig) | 45.9599% (-0.8625% EV) | 45.9595% | DEP011 1D 25% (3 Ace-1) |
| DEP011 Player (1:1) | 44.5245% (-1.4355% EV) | 44.5249% | DEP011 39-card 1D stub (0.9323 SD) |
| DEP011 Tie (8:1) | 9.5156% (-14.3595% EV) | 9.5156% | DEP011 Ace-1 (1 out, 3 in) |
Statistical verification of DEP011 (1D, 25% penetration, 3 Ace (1-Point Pip) cards in 39 stub cards) demonstrates why single-rank depletion (1 Ace-1 dealt) shifts edges by basis points around -0.8625% (5% Vig).
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