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NON-NATURAL MATCHUP [M7V7] · 100-BRANCH MATRIX

Player Starts 7 vs. Banker Starts 7 (M7V7): 100-Branch Resolution Matrix

When Player opens at 7 (3+4) and Banker opens at 7 (2+5) in matchup M7V7, neither side holds a Natural. Evaluating all 100 (fifth-card 0..9 × sixth-card 0..9) branches through resolveHand() yields 0 Banker wins, 0 Player wins, and 100 ties (100 four-card, 0 five-card, and 0 six-card branches).

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Matchup M7V7 Start
P=7 vs B=7
M7V7 100-Branch Split
0B/0P/100T
M7V7 4c/5c/6c Branches
100/0/0
M7V7 Step 2 Action
P Stands
Engine-Verified Scoreboard · 34 Hands

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Big Road B B 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 M7V7 (Player 7 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 3. Column 2 stopped at Row 1, more than one row above → red (=).

  1. Column 3 goes down to Row 3, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 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 2 stopped exactly one row above this bead.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  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 2, 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.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

Matchup M7V7 Initial Deal
Player 3+4=7 vs Banker 2+5=7

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

M7V7 100-Branch Outcome Split
0 Banker / 0 Player / 100 Tie

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

M7V7 Card-Count Distribution
100 (4-card) / 0 (5-card) / 0 (6-card)

Branch counts by total cards dealt in matchup M7V7.

M7V7 Player Action Rule
Stands Pat on 2-Card 7

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

M7V7 Banker Action Rule
Stands Pat at 4 Cards (7 vs 7)

Exact Banker response profile in matchup M7V7.

EXACT 100-BRANCH ENUMERATION · M7V7

How Matchup M7V7 (Player 7 vs. Banker 7) Resolves Across Fifth & Sixth Cards

In matchup [M7V7], Player starts with 3+4=7 against Banker 2+5=7. Because both P=7 and B=7 sit in the 6–7 stand zone, neither side draws and all 100 branches lock in at 4 cards (7 vs 7).

Summing all 100 (fifth 0..9 × sixth 0..9) branches for [M7V7] produces 0 Banker wins, 0 Player wins, and 100 ties across 100 four-card, 0 five-card, and 0 six-card outcomes.

Matchup M7V7 100-Branch Breakdown by Fifth Card Value (0–9)
M7V7 5th CardM7V7 Player PathM7V7 Banker PathM7V7 10-Branch B/P/TM7V7 Hand Size
[M7V7:5th=0] 10(0)[M7V7:PPat] P stands at 7[M7V7:BothPat] B=7 stands[M7V7:Split] 0B/0P/10T[M7V7:Size] 4 cards
[M7V7:5th=1] A(1)[M7V7:PPat] P stands at 7[M7V7:BothPat] B=7 stands[M7V7:Split] 0B/0P/10T[M7V7:Size] 4 cards
[M7V7:5th=2] 2(2)[M7V7:PPat] P stands at 7[M7V7:BothPat] B=7 stands[M7V7:Split] 0B/0P/10T[M7V7:Size] 4 cards
[M7V7:5th=3] 3(3)[M7V7:PPat] P stands at 7[M7V7:BothPat] B=7 stands[M7V7:Split] 0B/0P/10T[M7V7:Size] 4 cards
[M7V7:5th=4] 4(4)[M7V7:PPat] P stands at 7[M7V7:BothPat] B=7 stands[M7V7:Split] 0B/0P/10T[M7V7:Size] 4 cards
[M7V7:5th=5] 5(5)[M7V7:PPat] P stands at 7[M7V7:BothPat] B=7 stands[M7V7:Split] 0B/0P/10T[M7V7:Size] 4 cards
[M7V7:5th=6] 6(6)[M7V7:PPat] P stands at 7[M7V7:BothPat] B=7 stands[M7V7:Split] 0B/0P/10T[M7V7:Size] 4 cards
[M7V7:5th=7] 7(7)[M7V7:PPat] P stands at 7[M7V7:BothPat] B=7 stands[M7V7:Split] 0B/0P/10T[M7V7:Size] 4 cards
[M7V7:5th=8] 8(8)[M7V7:PPat] P stands at 7[M7V7:BothPat] B=7 stands[M7V7:Split] 0B/0P/10T[M7V7:Size] 4 cards
[M7V7:5th=9] 9(9)[M7V7:PPat] P stands at 7[M7V7:BothPat] B=7 stands[M7V7:Split] 0B/0P/10T[M7V7:Size] 4 cards
  • [M7V7-Rule1] Verify non-natural opening: P(3+4)=7 vs B(2+5)=7.
  • [M7V7-Rule2] Apply Player 6–7 stand rule first, then Banker 7 response.
  • [M7V7-Rule3] Audit 0B/0P/100T matrix total and record onto shoe BBPBBBBPP.
Table Reality Check

Myth vs. Truth

MythWhen Player starts with 7 against Banker 7 (M7V7), the higher two-card start always wins most branches.
TruthIn [M7V7], third-card draw rules shift the 100-branch total to 0B / 0P / 100T.
MythA 4-or-5-card finish in M7V7 forces a Blue break mark on Small Road.
TruthSmall Road compares Big Road column depths two columns back; card count in M7V7 never affects derived road color.
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TABLEAU HUB

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PLAYER START

Player Total 7 Rule Guide
BANKER START

Banker Total 7 Rule Guide
DECISION CELL

Banker 7 vs Player 3rd Card 0