When Player opens at 3 (9+4) and Banker opens at 0 (10+K) in matchup M3V0, neither side holds a Natural. Evaluating all 100 (fifth-card 0..9 × sixth-card 0..9) branches through resolveHand() yields 45 Banker wins, 45 Player wins, and 10 ties (0 four-card, 0 five-card, and 100 six-card branches).
Scoreboard trajectory paired with the 100-branch matchup matrix M3V0 (Player 3 vs Banker 0).
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.
Non-natural 4-card opening verified via playerShouldDraw(3)=true.
Exact enumeration across all 100 (fifthCard 0..9 × sixthCard 0..9) value pairs.
Branch counts by total cards dealt in matchup M3V0.
Determines whether Banker 0 uses BANKER_TABLEAU[0][p3] or the null-stand rule.
Exact Banker response profile in matchup M3V0.
In matchup [M3V0], Player starts with 9+4=3 against Banker 10+K=0. Because P=3 is in 0–5, Player always draws the fifth card (0..9), shifting Player to 3..2 and prompting Banker 0 to consult BANKER_TABLEAU[0].
Summing all 100 (fifth 0..9 × sixth 0..9) branches for [M3V0] produces 45 Banker wins, 45 Player wins, and 10 ties across 0 four-card, 0 five-card, and 100 six-card outcomes.
| M3V0 5th Card | M3V0 Player Path | M3V0 Banker Path | M3V0 10-Branch B/P/T | M3V0 Hand Size |
|---|---|---|---|---|
| [M3V0:5th=0] 10(0) | [M3V0:P3] P:3+0->3 | [M3V0:B3] B=0 draws 6th | [M3V0:Split] 6B/3P/1T | [M3V0:Size] 6 cards |
| [M3V0:5th=1] A(1) | [M3V0:P3] P:3+1->4 | [M3V0:B3] B=0 draws 6th | [M3V0:Split] 5B/4P/1T | [M3V0:Size] 6 cards |
| [M3V0:5th=2] 2(2) | [M3V0:P3] P:3+2->5 | [M3V0:B3] B=0 draws 6th | [M3V0:Split] 4B/5P/1T | [M3V0:Size] 6 cards |
| [M3V0:5th=3] 3(3) | [M3V0:P3] P:3+3->6 | [M3V0:B3] B=0 draws 6th | [M3V0:Split] 3B/6P/1T | [M3V0:Size] 6 cards |
| [M3V0:5th=4] 4(4) | [M3V0:P3] P:3+4->7 | [M3V0:B3] B=0 draws 6th | [M3V0:Split] 2B/7P/1T | [M3V0:Size] 6 cards |
| [M3V0:5th=5] 5(5) | [M3V0:P3] P:3+5->8 | [M3V0:B3] B=0 draws 6th | [M3V0:Split] 1B/8P/1T | [M3V0:Size] 6 cards |
| [M3V0:5th=6] 6(6) | [M3V0:P3] P:3+6->9 | [M3V0:B3] B=0 draws 6th | [M3V0:Split] 0B/9P/1T | [M3V0:Size] 6 cards |
| [M3V0:5th=7] 7(7) | [M3V0:P3] P:3+7->0 | [M3V0:B3] B=0 draws 6th | [M3V0:Split] 9B/0P/1T | [M3V0:Size] 6 cards |
| [M3V0:5th=8] 8(8) | [M3V0:P3] P:3+8->1 | [M3V0:B3] B=0 draws 6th | [M3V0:Split] 8B/1P/1T | [M3V0:Size] 6 cards |
| [M3V0:5th=9] 9(9) | [M3V0:P3] P:3+9->2 | [M3V0:B3] B=0 draws 6th | [M3V0:Split] 7B/2P/1T | [M3V0:Size] 6 cards |
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