DETERMINISTIC BLACKJACK — SESSION 1 RETROSPECTIVE SHUFFLE ROBUSTNESS AUDIT

SESSION
Session ID: 20260903_004704 (corrected)
Journey: PRIMARY 1646
Observed live result remains historical evidence and is not altered by this retrospective analysis.

WHY THE REPLAY RESERVOIR IS 176 CARDS
The original summary counter reports 174 cards. During the post-session evidence review,
Hand 7 was corrected from an accidentally entered STAND to the actual SPLIT. The retained
contemporaneous evidence identifies both split child cards:
  Split A: 9♥ + Q♣
  Split B: 9♣ + 9♣
Those two physically consumed split cards were not represented in the old 174-card counter.
For retrospective reservoir reconstruction they are therefore included, giving 176 cards.
This matches the existing Session 1 publication plate's Total Cards Recorded = 176.

RANK-LEVEL RECONSTRUCTION BOUNDARIES
Two card suits are not retained, but their ranks are uniquely constrained by the recorded totals:
1. Hand 19: dealer upcard is a ten-value Jack; known dealer cards include 5, 5 plus one
   unrecorded card and the dealer final is BUST 22. The missing card rank is therefore 2.
   Its suit and exact dealer sub-order remain unknown.
2. Hand 28: Split B is 9+4 = 13, then one HIT produces BUST 23. The hit card is therefore
   a ten-value card. Its exact rank among 10/J/Q/K and its suit were not retained.
   For replay mathematics the V3 engine uses blackjack card value/rank state, not suit.

IMPORTANT SCIENTIFIC BOUNDARY
The A/B/C1/C2/C3/C4/D/E population analysis below was NOT performed at the time Session 1
was played. It is a retrospective replay using the later audited integrated-post-session-v3
architecture, 5,000 paired replays per method, seed base 202609050001.
The observed Session 1 result (£343 final bankroll) remains separate historical evidence.

V3 RETROSPECTIVE RESULTS

================ AUTOMATIC SHUFFLE ROBUSTNESS | SESSION 20260903_004704 ================
ENGINE VERSION: integrated-post-session-v3 | paired_replays_per_method 5000 | seed_base 202609050001
Captured-card reservoir: 176 cards
Comparable-action definition: same replay hand, branch, decision ordinal, player-rank state and dealer upcard in both independently consumed paths.
A | Observed-card permutation: shuffle only the captured session-card reservoir; no cards added.
  Frozen median 71.25 | Casual median 85.00 | Frozen mean 92.99 | Casual mean 91.33
  £200 reach Frozen 27.92% | Casual 19.36% | Mean exposure Frozen 445.69 | Casual 410.91 | Mean maxDD Frozen 94.66 | Casual 85.98
  30-hand completion Frozen 3061 | Casual 3327 | Both 2819
  Mean paired final-bankroll difference Frozen-Casual (both completed): 6.58
  Comparable action decisions total: 139088 | Different actions total: 6240 | Mean Comparable Action Differences: 1.2480
B | Full six-deck RNG: generate and uniformly shuffle a fresh 312-card six-deck shoe.
  Frozen median 80.00 | Casual median 92.50 | Frozen mean 99.52 | Casual mean 96.91
  £200 reach Frozen 30.12% | Casual 20.12% | Mean exposure Frozen 450.70 | Casual 413.83 | Mean maxDD Frozen 92.90 | Casual 83.79
  30-hand completion Frozen 3348 | Casual 3519 | Both 3150
  Mean paired final-bankroll difference Frozen-Casual (both completed): 7.58
  Comparable action decisions total: 137976 | Different actions total: 5740 | Mean Comparable Action Differences: 1.1480
C1 | Penetration 50%: captured reservoir; reshuffle only remaining cards between hands at 50%.
  Frozen median 72.50 | Casual median 85.00 | Frozen mean 94.45 | Casual mean 90.87
  £200 reach Frozen 28.88% | Casual 19.12% | Mean exposure Frozen 444.73 | Casual 407.10 | Mean maxDD Frozen 94.15 | Casual 85.78
  30-hand completion Frozen 3050 | Casual 3289 | Both 2795
  Mean paired final-bankroll difference Frozen-Casual (both completed): 9.18
  Comparable action decisions total: 135758 | Different actions total: 5947 | Mean Comparable Action Differences: 1.1894
C2 | Penetration 65%: captured reservoir; reshuffle only remaining cards between hands at 65%.
  Frozen median 70.00 | Casual median 85.00 | Frozen mean 92.15 | Casual mean 93.32
  £200 reach Frozen 28.66% | Casual 19.68% | Mean exposure Frozen 444.92 | Casual 411.80 | Mean maxDD Frozen 95.42 | Casual 85.31
  30-hand completion Frozen 3050 | Casual 3399 | Both 2848
  Mean paired final-bankroll difference Frozen-Casual (both completed): 5.32
  Comparable action decisions total: 137597 | Different actions total: 6140 | Mean Comparable Action Differences: 1.2280
C3 | Penetration 75%: captured reservoir; reshuffle only remaining cards between hands at 75%.
  Frozen median 70.00 | Casual median 85.00 | Frozen mean 93.41 | Casual mean 93.62
  £200 reach Frozen 28.44% | Casual 19.94% | Mean exposure Frozen 445.03 | Casual 412.04 | Mean maxDD Frozen 94.63 | Casual 85.01
  30-hand completion Frozen 3054 | Casual 3348 | Both 2841
  Mean paired final-bankroll difference Frozen-Casual (both completed): 6.46
  Comparable action decisions total: 139486 | Different actions total: 6100 | Mean Comparable Action Differences: 1.2200
C4 | Penetration 80%: captured reservoir; reshuffle only remaining cards between hands at 80%.
  Frozen median 70.00 | Casual median 85.00 | Frozen mean 93.10 | Casual mean 92.49
  £200 reach Frozen 28.28% | Casual 19.32% | Mean exposure Frozen 446.22 | Casual 411.38 | Mean maxDD Frozen 95.13 | Casual 85.59
  30-hand completion Frozen 3057 | Casual 3334 | Both 2838
  Mean paired final-bankroll difference Frozen-Casual (both completed): 6.00
  Comparable action decisions total: 138285 | Different actions total: 6119 | Mean Comparable Action Differences: 1.2238
D | Physical-style proxy: captured reservoir with deterministic riffle/strip/cut-style mixing.
  Frozen median 72.50 | Casual median 85.00 | Frozen mean 94.16 | Casual mean 92.66
  £200 reach Frozen 29.02% | Casual 19.80% | Mean exposure Frozen 446.44 | Casual 413.22 | Mean maxDD Frozen 94.21 | Casual 85.36
  30-hand completion Frozen 3039 | Casual 3355 | Both 2801
  Mean paired final-bankroll difference Frozen-Casual (both completed): 8.56
  Comparable action decisions total: 137989 | Different actions total: 6039 | Mean Comparable Action Differences: 1.2078
E | Automatic/continuous proxy: captured reservoir; after each complete hand, used cards return and the full reservoir is remixed.
  Frozen median 72.50 | Casual median 85.00 | Frozen mean 92.24 | Casual mean 90.72
  £200 reach Frozen 28.14% | Casual 19.12% | Mean exposure Frozen 447.45 | Casual 410.78 | Mean maxDD Frozen 94.99 | Casual 85.95
  30-hand completion Frozen 3175 | Casual 3379 | Both 3030
  Mean paired final-bankroll difference Frozen-Casual (both completed): 6.98
  Comparable action decisions total: 165026 | Different actions total: 7525 | Mean Comparable Action Differences: 1.5050
Method E boundary: after each COMPLETE hand, consumed cards return to the captured reservoir and the entire reservoir is remixed; no captured card is added, removed or substituted.
Method D boundary: declared mathematical riffle/strip/cut proxy; not a proprietary casino-shuffler reproduction.
SHUFFLE_ANALYSIS_STATUS | session 20260903_004704 | COMPLETE
================ END AUTOMATIC SHUFFLE ROBUSTNESS | SESSION 20260903_004704 ================


PUBLICATION NOTE
If these results are added to the Session 1 plate, label the table explicitly as a retrospective
V3 replay so that readers do not mistake it for contemporaneous Session 1 analysis.