Removing 18 of 32 Nine-Pip Card (Rank-9) cards at 50% penetration of a 8-deck (416-card) shoe leaves 14 Rank-9 cards inside a 208-card stub (DEP445), producing 45.8591% Banker wins, 44.6253% Player wins, 9.5156% Ties, and a 1.4592% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP445 (8D Rank-9 at 50% 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.
50% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
18 9-pip cards (top Natural 9 generator) removed from the 8D pack.
Resolved at 45.8591% Banker win rate under Super 6 settlement.
Resolved at 44.6253% Player win rate with 0.9372 unit standard deviation.
Produces a 14.3598% house hold on the 8-to-1 Tie wager in state DEP445.
Removing 18 of 32 Rank-9 cards by the 50% mark of a 8-deck shoe (DEP445, 208 cards left) leaves 14 Nine-Pip Card cards and adjusts conditional probabilities to 45.8591% Banker, 44.6253% Player, and 9.5156% Tie under Super 6.
When 9s are depleted (DEP445-Rank-9) late in the shoe, more (208c) hands bypass four-card natural resolution (DEP445-Rank-9·208c) and enter the five- and six-card tableau. Because 18 of 32 Nine-Pip Card cards are absent in DEP445 at 50% 8D penetration (208 cards left), per-card sensitivity (-0.23 bps) interacts directly with mid-shoe 50% penetration depth (DEP445) under Super 6 no-commission rules (Rank-9) (winning Banker 6 pays 0.50:1) (DEP445·Rank-9).
| Wager / Metric | State DEP445 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP445 Banker (Super 6) | 45.8591% (-1.4592% EV) | 45.8597% | DEP445 8D 50% (14 Rank-9) |
| DEP445 Player (1:1) | 44.6253% (-1.2338% EV) | 44.6247% | DEP445 208-card 8D stub (0.9372 SD) |
| DEP445 Tie (8:1) | 9.5156% (-14.3598% EV) | 9.5156% | DEP445 Rank-9 (18 out, 14 in) |
Cut-card protocol at 50% depth in DEP445 (8D, 208 stub cards containing 14 Rank-9 cards) ensures the shoe reshuffles long before Super 6 house hold (1.4592% Banker / 1.2338% Player) is overturned.
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