Removing 19 of 24 Seven-Pip Card (Rank-7) cards at 70% penetration of a 6-deck (312-card) shoe leaves 5 Rank-7 cards inside a 94-card stub (DEP339), producing 45.8615% Banker wins, 44.5937% Player wins, 9.5448% Ties, and a 1.0253% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP339 (6D Rank-7 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 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
19 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 6D pack.
Resolved at 45.8615% Banker win rate under 5% settlement.
Resolved at 44.5937% Player win rate with 0.9386 unit standard deviation.
Produces a 14.0966% house hold on the 8-to-1 Tie wager in state DEP339.
When a 6D shoe reaches 70% cut-card depth (94 of 312 cards undealt, state DEP339) with 19 Seven-Pip Card cards removed and 5 remaining, Player wins 44.5937% (1.2678% edge) while Banker wins 45.8615% (1.0253% edge under 5%).
When 19 Rank-7 cards exit a 6D shoe by 70% penetration (DEP339, 5 left in 94 cards), depleting 7s lowers the (dep339-rank-7) rate of winning three-card banker (94c) 7 hands (the barred push (dep339-rank-7·94c) total on ez baccarat tables), combining a -0.83 bps rank vector with 5% settlement (-1.0253% Banker EV).
| Wager / Metric | State DEP339 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP339 Banker (5% Vig) | 45.8615% (-1.0253% EV) | 45.8648% | DEP339 6D 70% (5 Rank-7) |
| DEP339 Player (1:1) | 44.5937% (-1.2678% EV) | 44.5903% | DEP339 94-card 6D stub (0.9386 SD) |
| DEP339 Tie (8:1) | 9.5448% (-14.0966% EV) | 9.5449% | DEP339 Rank-7 (19 out, 5 in) |
Learners auditing DEP339 (6D at 70% depth, 5/24 Rank-7 in 94 stub cards) can verify that 5% house hold (1.0253% Banker, 1.2678% Player, 14.0966% Tie) operates independently of prior Big Road streaks.
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