When Player opens at 3 (10+3) and Banker opens at 7 (2+5) in matchup M3V7, neither side holds a Natural. Evaluating all 100 (fifth-card 0..9 × sixth-card 0..9) branches through resolveHand() yields 70 Banker wins, 20 Player wins, and 10 ties (0 four-card, 100 five-card, and 0 six-card branches).
Scoreboard trajectory paired with the 100-branch matchup matrix M3V7 (Player 3 vs Banker 7).
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(3)=true.
Exact enumeration across all 100 (fifthCard 0..9 × sixthCard 0..9) value pairs.
Branch counts by total cards dealt in matchup M3V7.
Determines whether Banker 7 uses BANKER_TABLEAU[7][p3] or the null-stand rule.
Exact Banker response profile in matchup M3V7.
In matchup [M3V7], Player starts with 10+3=3 against Banker 2+5=7. Because P=3 is in 0–5, Player always draws the fifth card (0..9), shifting Player to 3..2 and prompting Banker 7 to consult BANKER_TABLEAU[7].
Summing all 100 (fifth 0..9 × sixth 0..9) branches for [M3V7] produces 70 Banker wins, 20 Player wins, and 10 ties across 0 four-card, 100 five-card, and 0 six-card outcomes.
| M3V7 5th Card | M3V7 Player Path | M3V7 Banker Path | M3V7 10-Branch B/P/T | M3V7 Hand Size |
|---|---|---|---|---|
| [M3V7:5th=0] 10(0) | [M3V7:P3] P:3+0->3 | [M3V7:BPat] B=7 stands | [M3V7:Split] 10B/0P/0T | [M3V7:Size] 5 cards |
| [M3V7:5th=1] A(1) | [M3V7:P3] P:3+1->4 | [M3V7:BPat] B=7 stands | [M3V7:Split] 10B/0P/0T | [M3V7:Size] 5 cards |
| [M3V7:5th=2] 2(2) | [M3V7:P3] P:3+2->5 | [M3V7:BPat] B=7 stands | [M3V7:Split] 10B/0P/0T | [M3V7:Size] 5 cards |
| [M3V7:5th=3] 3(3) | [M3V7:P3] P:3+3->6 | [M3V7:BPat] B=7 stands | [M3V7:Split] 10B/0P/0T | [M3V7:Size] 5 cards |
| [M3V7:5th=4] 4(4) | [M3V7:P3] P:3+4->7 | [M3V7:BPat] B=7 stands | [M3V7:Split] 0B/0P/10T | [M3V7:Size] 5 cards |
| [M3V7:5th=5] 5(5) | [M3V7:P3] P:3+5->8 | [M3V7:BPat] B=7 stands | [M3V7:Split] 0B/10P/0T | [M3V7:Size] 5 cards |
| [M3V7:5th=6] 6(6) | [M3V7:P3] P:3+6->9 | [M3V7:BPat] B=7 stands | [M3V7:Split] 0B/10P/0T | [M3V7:Size] 5 cards |
| [M3V7:5th=7] 7(7) | [M3V7:P3] P:3+7->0 | [M3V7:BPat] B=7 stands | [M3V7:Split] 10B/0P/0T | [M3V7:Size] 5 cards |
| [M3V7:5th=8] 8(8) | [M3V7:P3] P:3+8->1 | [M3V7:BPat] B=7 stands | [M3V7:Split] 10B/0P/0T | [M3V7:Size] 5 cards |
| [M3V7:5th=9] 9(9) | [M3V7:P3] P:3+9->2 | [M3V7:BPat] B=7 stands | [M3V7:Split] 10B/0P/0T | [M3V7:Size] 5 cards |
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