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NON-NATURAL MATCHUP [M6V4] · 100-BRANCH MATRIX

Player Starts 6 vs. Banker Starts 4 (M6V4): 100-Branch Resolution Matrix

When Player opens at 6 (3+3) and Banker opens at 4 (A+3) in matchup M6V4, neither side holds a Natural. Evaluating all 100 (fifth-card 0..9 × sixth-card 0..9) branches through resolveHand() yields 30 Banker wins, 60 Player wins, and 10 ties (0 four-card, 100 five-card, and 0 six-card branches).

Matchup M6V4 Start
P=6 vs B=4
M6V4 100-Branch Split
30B/60P/10T
M6V4 4c/5c/6c Branches
0/100/0
M6V4 Step 2 Action
P Stands
Engine-Verified Scoreboard · 34 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road P B B B B P B P B B P P P B B B B P P B P P P B B B P B B P P B B B
Big Eye Boy ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠ ≠ ≠ = = = ≠
Small Road = ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠
Cockroach Pig = ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ = = ≠ = = ≠ = ≠ ≠ = = ≠ = ≠ ≠ =

Scoreboard trajectory paired with the 100-branch matchup matrix M6V4 (Player 6 vs Banker 4).

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Mark #3

This bead is at Row 4. Column 1 stopped at Row 1, more than one row above → red (=).

  1. Column 2 goes down to Row 4, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 1, more than one row above → red (=).

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.

Small Road Mark #3

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Matchup M6V4 Initial Deal
Player 3+3=6 vs Banker A+3=4

Non-natural 4-card opening verified via playerShouldDraw(6)=false.

M6V4 100-Branch Outcome Split
30 Banker / 60 Player / 10 Tie

Exact enumeration across all 100 (fifthCard 0..9 × sixthCard 0..9) value pairs.

M6V4 Card-Count Distribution
0 (4-card) / 100 (5-card) / 0 (6-card)

Branch counts by total cards dealt in matchup M6V4.

M6V4 Player Action Rule
Stands Pat on 2-Card 6

Determines whether Banker 4 uses BANKER_TABLEAU[4][p3] or the null-stand rule.

M6V4 Banker Action Rule
Always Draws 5th Card on 4

Exact Banker response profile in matchup M6V4.

EXACT 100-BRANCH ENUMERATION · M6V4

How Matchup M6V4 (Player 6 vs. Banker 4) Resolves Across Fifth & Sixth Cards

In matchup [M6V4], Player starts with 3+3=6 against Banker A+3=4. Because P=6 stands on 6–7 while B=4 is in 0–5, Player takes no third card and Banker 4 draws the fifth card to finish in 5 cards.

Summing all 100 (fifth 0..9 × sixth 0..9) branches for [M6V4] produces 30 Banker wins, 60 Player wins, and 10 ties across 0 four-card, 100 five-card, and 0 six-card outcomes.

Matchup M6V4 100-Branch Breakdown by Fifth Card Value (0–9)
M6V4 5th CardM6V4 Player PathM6V4 Banker PathM6V4 10-Branch B/P/TM6V4 Hand Size
[M6V4:5th=0] 10(0)[M6V4:PPat] P stands at 6[M6V4:B5th] B:4+0->4[M6V4:Split] 0B/10P/0T[M6V4:Size] 5 cards
[M6V4:5th=1] A(1)[M6V4:PPat] P stands at 6[M6V4:B5th] B:4+1->5[M6V4:Split] 0B/10P/0T[M6V4:Size] 5 cards
[M6V4:5th=2] 2(2)[M6V4:PPat] P stands at 6[M6V4:B5th] B:4+2->6[M6V4:Split] 0B/0P/10T[M6V4:Size] 5 cards
[M6V4:5th=3] 3(3)[M6V4:PPat] P stands at 6[M6V4:B5th] B:4+3->7[M6V4:Split] 10B/0P/0T[M6V4:Size] 5 cards
[M6V4:5th=4] 4(4)[M6V4:PPat] P stands at 6[M6V4:B5th] B:4+4->8[M6V4:Split] 10B/0P/0T[M6V4:Size] 5 cards
[M6V4:5th=5] 5(5)[M6V4:PPat] P stands at 6[M6V4:B5th] B:4+5->9[M6V4:Split] 10B/0P/0T[M6V4:Size] 5 cards
[M6V4:5th=6] 6(6)[M6V4:PPat] P stands at 6[M6V4:B5th] B:4+6->0[M6V4:Split] 0B/10P/0T[M6V4:Size] 5 cards
[M6V4:5th=7] 7(7)[M6V4:PPat] P stands at 6[M6V4:B5th] B:4+7->1[M6V4:Split] 0B/10P/0T[M6V4:Size] 5 cards
[M6V4:5th=8] 8(8)[M6V4:PPat] P stands at 6[M6V4:B5th] B:4+8->2[M6V4:Split] 0B/10P/0T[M6V4:Size] 5 cards
[M6V4:5th=9] 9(9)[M6V4:PPat] P stands at 6[M6V4:B5th] B:4+9->3[M6V4:Split] 0B/10P/0T[M6V4:Size] 5 cards
  • [M6V4-Rule1] Verify non-natural opening: P(3+3)=6 vs B(A+3)=4.
  • [M6V4-Rule2] Apply Player 6–7 stand rule first, then Banker 4 response.
  • [M6V4-Rule3] Audit 30B/60P/10T matrix total and record onto shoe PBBBBPBPB.
Table Reality Check

Myth vs. Truth

MythWhen Player starts with 6 against Banker 4 (M6V4), the higher two-card start always wins most branches.
TruthIn [M6V4], third-card draw rules shift the 100-branch total to 30B / 60P / 10T.
MythA 4-or-5-card finish in M6V4 forces a Blue break mark on Small Road.
TruthSmall Road compares Big Road column depths two columns back; card count in M6V4 never affects derived road color.
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