With a two-card total of 5, the Banker draws whenever the Player stands on 6 or 7, and when the Player draws a third card valued 4, 5, 6, or 7. The Banker stands on 5 when the Player's third card is 0, 1, 2, 3, 8, or 9. Across the 10 possible Player third-card values (0–9), Banker starting total 5 draws on 4 values and stands on 6 values, while drawing whenever the Player stands on a two-card 6 or 7.
Verified 8-deck shoe trajectory paired with the Banker starting total 5 resolution matrix.
Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.
This bead is at Row 3. Column 2 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 2 stopped exactly one row above this bead.
Column 4 has 3 beads. Column 1 has 4 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.
Verified by bankerDraws(5, null) === true.
Exact BANKER_TABLEAU[5] positive draw cells.
Exact BANKER_TABLEAU[5] standing cells.
Verified two-card Banker combination summing to 5.
Drawing values 1 through 4 raise Banker 5 without modulo-10 wraparound.
With a two-card total of 5, the Banker draws whenever the Player stands on 6 or 7, and when the Player draws a third card valued 4, 5, 6, or 7. The Banker stands on 5 when the Player's third card is 0, 1, 2, 3, 8, or 9.
A two-card 5 is the highest Banker total that draws when the Player stands on 6 or 7 (since a standing Player holds at least 6, forcing Banker 5 to draw to compete). However, when the Player draws a third card of 0, 1, 2, 3, 8, or 9, the Player's three-card total often lands below 5, making it mathematically superior for Banker 5 to stand rather than risk drawing a 5, 6, 7, 8, or 9.
Dealers check two branches on Banker 5: (1) Did the Player stand on a two-card 6 or 7? If yes, Banker 5 draws. (2) Did the Player draw a third card? If yes, Banker 5 draws only if that third card is a 4, 5, 6, or 7.
| Player 3rd Card Value | Banker 5 Decision | Sample Player Hand | Sample Banker Resolution | Cards Used & Result |
|---|---|---|---|---|
| Player 3rd Card = 0 (10) | STAND on 2 Cards | 10+K → +10 = 0 | 2+3 stands at 5 | 5 cards (B wins) |
| Player 3rd Card = 1 (A) | STAND on 2 Cards | 10+A → +A = 2 | 2+3 stands at 5 | 5 cards (B wins) |
| Player 3rd Card = 2 (2) | STAND on 2 Cards | A+A → +2 = 4 | 2+3 stands at 5 | 5 cards (B wins) |
| Player 3rd Card = 3 (3) | STAND on 2 Cards | A+2 → +3 = 6 | 2+3 stands at 5 | 5 cards (P wins) |
| Player 3rd Card = 4 (4) | DRAW 3rd Card | 2+2 → +4 = 8 | 2+3 (5) → +4 = 9 | 6 cards (B wins) |
| Player 3rd Card = 5 (5) | DRAW 3rd Card | 2+3 → +5 = 0 | 2+3 (5) → +4 = 9 | 6 cards (B wins) |
| Player 3rd Card = 6 (6) | DRAW 3rd Card | 10+K → +6 = 6 | 2+3 (5) → +4 = 9 | 6 cards (B wins) |
| Player 3rd Card = 7 (7) | DRAW 3rd Card | 10+A → +7 = 8 | 2+3 (5) → +4 = 9 | 6 cards (B wins) |
| Player 3rd Card = 8 (8) | STAND on 2 Cards | A+A → +8 = 0 | 2+3 stands at 5 | 5 cards (B wins) |
| Player 3rd Card = 9 (9) | STAND on 2 Cards | A+2 → +9 = 2 | 2+3 stands at 5 | 5 cards (B wins) |
In Chemin de Fer, Banker 5 against a Player third-card 4 was historically the signature optional decision ('tirer ou rester à cinq'); Punto Banco standardized it as a mandatory draw on 4, 5, 6, and 7.
Because every card drawn from the shoe alters both the current hand and the remaining shoe composition, dealers execute the Banker 5 rule mechanically before announcing the winning side and logging the result onto the Big Road and derived scoreboards.
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