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NON-NATURAL MATCHUP [M6V7] · 100-BRANCH MATRIX

Player Starts 6 vs. Banker Starts 7 (M6V7): 100-Branch Resolution Matrix

When Player opens at 6 (2+4) and Banker opens at 7 (3+4) in matchup M6V7, neither side holds a Natural. Evaluating all 100 (fifth-card 0..9 × sixth-card 0..9) branches through resolveHand() yields 100 Banker wins, 0 Player wins, and 0 ties (100 four-card, 0 five-card, and 0 six-card branches).

Matchup M6V7 Start
P=6 vs B=7
M6V7 100-Branch Split
100B/0P/0T
M6V7 4c/5c/6c Branches
100/0/0
M6V7 Step 2 Action
P Stands
Engine-Verified Scoreboard · 34 Hands

Read the Board at Table Speed

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Big Road P P P B B B B P P B P P P B B B P B B P P B B B B P B P B B P P P B
Big Eye Boy = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠ ≠ ≠ = = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ ≠
Small Road = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ = ≠
Cockroach Pig ≠ = = ≠ = ≠ ≠ = = ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠

Scoreboard trajectory paired with the 100-branch matchup matrix M6V7 (Player 6 vs Banker 7).

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 3, one row above → blue (≠).

  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 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.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 4 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. 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.

Cockroach Pig Mark #3

This bead is at Row 3. Column 2 has a bead at Row 3 too → red (=).

  1. Column 5 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 2.
  2. 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.

Verified Reference Data

Key Facts & Table Specifications

Matchup M6V7 Initial Deal
Player 2+4=6 vs Banker 3+4=7

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

M6V7 100-Branch Outcome Split
100 Banker / 0 Player / 0 Tie

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

M6V7 Card-Count Distribution
100 (4-card) / 0 (5-card) / 0 (6-card)

Branch counts by total cards dealt in matchup M6V7.

M6V7 Player Action Rule
Stands Pat on 2-Card 6

Determines whether Banker 7 uses BANKER_TABLEAU[7][p3] or the null-stand rule.

M6V7 Banker Action Rule
Stands Pat at 4 Cards (6 vs 7)

Exact Banker response profile in matchup M6V7.

EXACT 100-BRANCH ENUMERATION · M6V7

How Matchup M6V7 (Player 6 vs. Banker 7) Resolves Across Fifth & Sixth Cards

In matchup [M6V7], Player starts with 2+4=6 against Banker 3+4=7. Because both P=6 and B=7 sit in the 6–7 stand zone, neither side draws and all 100 branches lock in at 4 cards (6 vs 7).

Summing all 100 (fifth 0..9 × sixth 0..9) branches for [M6V7] produces 100 Banker wins, 0 Player wins, and 0 ties across 100 four-card, 0 five-card, and 0 six-card outcomes.

Matchup M6V7 100-Branch Breakdown by Fifth Card Value (0–9)
M6V7 5th CardM6V7 Player PathM6V7 Banker PathM6V7 10-Branch B/P/TM6V7 Hand Size
[M6V7:5th=0] 10(0)[M6V7:PPat] P stands at 6[M6V7:BothPat] B=7 stands[M6V7:Split] 10B/0P/0T[M6V7:Size] 4 cards
[M6V7:5th=1] A(1)[M6V7:PPat] P stands at 6[M6V7:BothPat] B=7 stands[M6V7:Split] 10B/0P/0T[M6V7:Size] 4 cards
[M6V7:5th=2] 2(2)[M6V7:PPat] P stands at 6[M6V7:BothPat] B=7 stands[M6V7:Split] 10B/0P/0T[M6V7:Size] 4 cards
[M6V7:5th=3] 3(3)[M6V7:PPat] P stands at 6[M6V7:BothPat] B=7 stands[M6V7:Split] 10B/0P/0T[M6V7:Size] 4 cards
[M6V7:5th=4] 4(4)[M6V7:PPat] P stands at 6[M6V7:BothPat] B=7 stands[M6V7:Split] 10B/0P/0T[M6V7:Size] 4 cards
[M6V7:5th=5] 5(5)[M6V7:PPat] P stands at 6[M6V7:BothPat] B=7 stands[M6V7:Split] 10B/0P/0T[M6V7:Size] 4 cards
[M6V7:5th=6] 6(6)[M6V7:PPat] P stands at 6[M6V7:BothPat] B=7 stands[M6V7:Split] 10B/0P/0T[M6V7:Size] 4 cards
[M6V7:5th=7] 7(7)[M6V7:PPat] P stands at 6[M6V7:BothPat] B=7 stands[M6V7:Split] 10B/0P/0T[M6V7:Size] 4 cards
[M6V7:5th=8] 8(8)[M6V7:PPat] P stands at 6[M6V7:BothPat] B=7 stands[M6V7:Split] 10B/0P/0T[M6V7:Size] 4 cards
[M6V7:5th=9] 9(9)[M6V7:PPat] P stands at 6[M6V7:BothPat] B=7 stands[M6V7:Split] 10B/0P/0T[M6V7:Size] 4 cards
  • [M6V7-Rule1] Verify non-natural opening: P(2+4)=6 vs B(3+4)=7.
  • [M6V7-Rule2] Apply Player 6–7 stand rule first, then Banker 7 response.
  • [M6V7-Rule3] Audit 100B/0P/0T matrix total and record onto shoe PPPBBBBPP.
Table Reality Check

Myth vs. Truth

MythWhen Player starts with 6 against Banker 7 (M6V7), the higher two-card start always wins most branches.
TruthIn [M6V7], third-card draw rules shift the 100-branch total to 100B / 0P / 0T.
MythA 4-or-5-card finish in M6V7 forces a Blue break mark on Small Road.
TruthSmall Road compares Big Road column depths two columns back; card count in M6V7 never affects derived road color.
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Read Every Derived Road at Table Speed

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