When Player opens at 5 (2+3) and Banker opens at 3 (9+4) in matchup M5V3, neither side holds a Natural. Evaluating all 100 (fifth-card 0..9 × sixth-card 0..9) branches through resolveHand() yields 39 Banker wins, 42 Player wins, and 19 ties (0 four-card, 10 five-card, and 90 six-card branches).
Scoreboard trajectory paired with the 100-branch matchup matrix M5V3 (Player 5 vs Banker 3).
This bead is at Row 4. Column 1 stopped at Row 3, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
Column 4 has 1 bead. Column 2 has 4 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 3. Column 2 has a bead at Row 3 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.
Non-natural 4-card opening verified via playerShouldDraw(5)=true.
Exact enumeration across all 100 (fifthCard 0..9 × sixthCard 0..9) value pairs.
Branch counts by total cards dealt in matchup M5V3.
Determines whether Banker 3 uses BANKER_TABLEAU[3][p3] or the null-stand rule.
Exact Banker response profile in matchup M5V3.
In matchup [M5V3], Player starts with 2+3=5 against Banker 9+4=3. Because P=5 is in 0–5, Player always draws the fifth card (0..9), shifting Player to 5..4 and prompting Banker 3 to consult BANKER_TABLEAU[3].
Summing all 100 (fifth 0..9 × sixth 0..9) branches for [M5V3] produces 39 Banker wins, 42 Player wins, and 19 ties across 0 four-card, 10 five-card, and 90 six-card outcomes.
| M5V3 5th Card | M5V3 Player Path | M5V3 Banker Path | M5V3 10-Branch B/P/T | M5V3 Hand Size |
|---|---|---|---|---|
| [M5V3:5th=0] 10(0) | [M5V3:P3] P:5+0->5 | [M5V3:B3] B=3 draws 6th | [M5V3:Split] 4B/5P/1T | [M5V3:Size] 6 cards |
| [M5V3:5th=1] A(1) | [M5V3:P3] P:5+1->6 | [M5V3:B3] B=3 draws 6th | [M5V3:Split] 3B/6P/1T | [M5V3:Size] 6 cards |
| [M5V3:5th=2] 2(2) | [M5V3:P3] P:5+2->7 | [M5V3:B3] B=3 draws 6th | [M5V3:Split] 2B/7P/1T | [M5V3:Size] 6 cards |
| [M5V3:5th=3] 3(3) | [M5V3:P3] P:5+3->8 | [M5V3:B3] B=3 draws 6th | [M5V3:Split] 1B/8P/1T | [M5V3:Size] 6 cards |
| [M5V3:5th=4] 4(4) | [M5V3:P3] P:5+4->9 | [M5V3:B3] B=3 draws 6th | [M5V3:Split] 0B/9P/1T | [M5V3:Size] 6 cards |
| [M5V3:5th=5] 5(5) | [M5V3:P3] P:5+5->0 | [M5V3:B3] B=3 draws 6th | [M5V3:Split] 9B/0P/1T | [M5V3:Size] 6 cards |
| [M5V3:5th=6] 6(6) | [M5V3:P3] P:5+6->1 | [M5V3:B3] B=3 draws 6th | [M5V3:Split] 8B/1P/1T | [M5V3:Size] 6 cards |
| [M5V3:5th=7] 7(7) | [M5V3:P3] P:5+7->2 | [M5V3:B3] B=3 draws 6th | [M5V3:Split] 7B/2P/1T | [M5V3:Size] 6 cards |
| [M5V3:5th=8] 8(8) | [M5V3:P3] P:5+8->3 | [M5V3:BPat] B=3 stands | [M5V3:Split] 0B/0P/10T | [M5V3:Size] 5 cards |
| [M5V3:5th=9] 9(9) | [M5V3:P3] P:5+9->4 | [M5V3:B3] B=3 draws 6th | [M5V3:Split] 5B/4P/1T | [M5V3:Size] 6 cards |
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