Removing 28 of 32 Seven-Pip Card (Rank-7) cards at 75% penetration of a 8-deck (416-card) shoe leaves 4 Rank-7 cards inside a 104-card stub (DEP430), producing 45.8559% Banker wins, 44.6286% Player wins, 9.5155% Ties, and a 0.6069% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPBPPBBPBPPBBPB) illustrating derived-road symmetry checks alongside DEP430 (8D Rank-7 at 75% 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.
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.
75% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
28 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 8D pack.
Resolved at 45.8559% Banker win rate under 4% settlement.
Resolved at 44.6286% Player win rate with 0.9391 unit standard deviation.
Produces a 14.3604% house hold on the 8-to-1 Tie wager in state DEP430.
Depletion matrix entry DEP430 pairs 8D (416 cards) at 75% penetration with 28 removed Seven-Pip Card cards (4 left in 104 cards), fixing per-hand volatility at 0.9391 and Banker house hold at 0.6069% (4% Vig).
Because depleting 7s lowers the (dep430-rank-7) rate of winning three-card banker (104c) 7 hands (the barred push (dep430-rank-7·104c) total on ez baccarat tables), state DEP430 (75% 8D depth, 28 Rank-7 removed, 4 in 104 cards) registers a -0.83 bps rank derivative and 0.6069% Banker house edge (4% Vig).
| Wager / Metric | State DEP430 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP430 Banker (4% Vig) | 45.8559% (-0.6069% EV) | 45.8597% | DEP430 8D 75% (4 Rank-7) |
| DEP430 Player (1:1) | 44.6286% (-1.2274% EV) | 44.6247% | DEP430 104-card 8D stub (0.9391 SD) |
| DEP430 Tie (8:1) | 9.5155% (-14.3604% EV) | 9.5156% | DEP430 Rank-7 (28 out, 4 in) |
Cut-card protocol at 75% depth in DEP430 (8D, 104 stub cards containing 4 Rank-7 cards) ensures the shoe reshuffles long before 4% house hold (0.6069% Banker / 1.2274% Player) is overturned.
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About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
Train Third-Card Rule decisions, depth counting, lookback column references, and derived-road speed recognition.
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Direct answers to real student questions on dragon tails, tie handling, lookback rules, and table variants.
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