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NON-NATURAL MATCHUP [M7V6] · 100-BRANCH MATRIX

Player Starts 7 vs. Banker Starts 6 (M7V6): 100-Branch Resolution Matrix

When Player opens at 7 (2+5) and Banker opens at 6 (3+3) in matchup M7V6, neither side holds a Natural. Evaluating all 100 (fifth-card 0..9 × sixth-card 0..9) branches through resolveHand() yields 0 Banker wins, 100 Player wins, and 0 ties (100 four-card, 0 five-card, and 0 six-card branches).

Matchup M7V6 Start
P=7 vs B=6
M7V6 100-Branch Split
0B/100P/0T
M7V6 4c/5c/6c Branches
100/0/0
M7V6 Step 2 Action
P Stands
Engine-Verified Scoreboard · 34 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with the 100-branch matchup matrix M7V6 (Player 7 vs Banker 6).

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

Column 2 has 3 beads. Column 1 has 3 beads. Same depth → red (=).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 3 beads. Column 1 has 3 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 3, one row above → blue (≠).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns 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.

Cockroach Pig Mark #3

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 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 M7V6 Initial Deal
Player 2+5=7 vs Banker 3+3=6

Non-natural 4-card opening verified via playerShouldDraw(7)=false.

M7V6 100-Branch Outcome Split
0 Banker / 100 Player / 0 Tie

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

M7V6 Card-Count Distribution
100 (4-card) / 0 (5-card) / 0 (6-card)

Branch counts by total cards dealt in matchup M7V6.

M7V6 Player Action Rule
Stands Pat on 2-Card 7

Determines whether Banker 6 uses BANKER_TABLEAU[6][p3] or the null-stand rule.

M7V6 Banker Action Rule
Stands Pat at 4 Cards (7 vs 6)

Exact Banker response profile in matchup M7V6.

EXACT 100-BRANCH ENUMERATION · M7V6

How Matchup M7V6 (Player 7 vs. Banker 6) Resolves Across Fifth & Sixth Cards

In matchup [M7V6], Player starts with 2+5=7 against Banker 3+3=6. Because both P=7 and B=6 sit in the 6–7 stand zone, neither side draws and all 100 branches lock in at 4 cards (7 vs 6).

Summing all 100 (fifth 0..9 × sixth 0..9) branches for [M7V6] produces 0 Banker wins, 100 Player wins, and 0 ties across 100 four-card, 0 five-card, and 0 six-card outcomes.

Matchup M7V6 100-Branch Breakdown by Fifth Card Value (0–9)
M7V6 5th CardM7V6 Player PathM7V6 Banker PathM7V6 10-Branch B/P/TM7V6 Hand Size
[M7V6:5th=0] 10(0)[M7V6:PPat] P stands at 7[M7V6:BothPat] B=6 stands[M7V6:Split] 0B/10P/0T[M7V6:Size] 4 cards
[M7V6:5th=1] A(1)[M7V6:PPat] P stands at 7[M7V6:BothPat] B=6 stands[M7V6:Split] 0B/10P/0T[M7V6:Size] 4 cards
[M7V6:5th=2] 2(2)[M7V6:PPat] P stands at 7[M7V6:BothPat] B=6 stands[M7V6:Split] 0B/10P/0T[M7V6:Size] 4 cards
[M7V6:5th=3] 3(3)[M7V6:PPat] P stands at 7[M7V6:BothPat] B=6 stands[M7V6:Split] 0B/10P/0T[M7V6:Size] 4 cards
[M7V6:5th=4] 4(4)[M7V6:PPat] P stands at 7[M7V6:BothPat] B=6 stands[M7V6:Split] 0B/10P/0T[M7V6:Size] 4 cards
[M7V6:5th=5] 5(5)[M7V6:PPat] P stands at 7[M7V6:BothPat] B=6 stands[M7V6:Split] 0B/10P/0T[M7V6:Size] 4 cards
[M7V6:5th=6] 6(6)[M7V6:PPat] P stands at 7[M7V6:BothPat] B=6 stands[M7V6:Split] 0B/10P/0T[M7V6:Size] 4 cards
[M7V6:5th=7] 7(7)[M7V6:PPat] P stands at 7[M7V6:BothPat] B=6 stands[M7V6:Split] 0B/10P/0T[M7V6:Size] 4 cards
[M7V6:5th=8] 8(8)[M7V6:PPat] P stands at 7[M7V6:BothPat] B=6 stands[M7V6:Split] 0B/10P/0T[M7V6:Size] 4 cards
[M7V6:5th=9] 9(9)[M7V6:PPat] P stands at 7[M7V6:BothPat] B=6 stands[M7V6:Split] 0B/10P/0T[M7V6:Size] 4 cards
  • [M7V6-Rule1] Verify non-natural opening: P(2+5)=7 vs B(3+3)=6.
  • [M7V6-Rule2] Apply Player 6–7 stand rule first, then Banker 6 response.
  • [M7V6-Rule3] Audit 0B/100P/0T matrix total and record onto shoe BBBPPPBBB.
Table Reality Check

Myth vs. Truth

MythWhen Player starts with 7 against Banker 6 (M7V6), the higher two-card start always wins most branches.
TruthIn [M7V6], third-card draw rules shift the 100-branch total to 0B / 100P / 0T.
MythA 4-or-5-card finish in M7V6 forces a Blue break mark on Small Road.
TruthSmall Road compares Big Road column depths two columns back; card count in M7V6 never affects derived road color.
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Read Every Derived Road at Table Speed

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