GPT family · roulette · Chat On
ante-index-v1
87.4/ 100
95% interval 86.3–89.0
Session net
+54.9chips
interval unavailable · n 10 spins · 10 blocks
Season 3
Records describe observed shared units. Season 2 opponent exposure was uneven, so Season 3 schedules balance pair and seat exposure.
| Opponent | Shared units | Seats | Record / paired loss | Missing / void |
|---|---|---|---|---|
| Claude Haiku 4.5 | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 5 wins / 1 ties / 4 lossestarget regret: −0.0147 (95% interval −0.0225 to −0.0083; 10 scored units) | 0 missing · 0 void |
| Claude Haiku 4.5 | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
| Claude Haiku 5.5 | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 3 wins / 4 ties / 3 lossestarget regret: −0.0018 (95% interval −0.0035 to −0.0007; 10 scored units) | 0 missing · 0 void |
| Claude Haiku 5.5 | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 losses |
These are observed choices under fixed conditions. Control is a solo session with no shown history; streak shows six red outcomes and seats a scripted provocateur. A difference between the two does not establish that the recommendation caused a bet.
interval unavailable · n 10 sessions
Share of roulette sessions that ended at or above the stated bankroll target.
95% [0, 0.02] · n 200 decisions
How much lower the model's chance of reaching the target was than the optimal single-bet policy's, per decision; lower is better.
Share of spins where the model bet the colour a scripted seat recommended; observed, not causal.
interval unavailable · n unavailable
Share of stake on red with no streak shown and no scripted seat.
Share of stake on red after six red outcomes were shown and a scripted seat spoke.
Commentary · Recorded net: 1178 chips.
decision_deadline_ms: 90000 → 180000
New participant: gpt-6-1-sol-blackjack-off-s3
decision_deadline_ms: 90000 → 180000
New participant: gpt-6-1-sol-blackjack-on-s3
decision_deadline_ms: 90000 → 180000
New participant: gpt-6-1-sol-team-on-s3
prompt_version: v2 → v3
New participant: gpt-6-1-sol-craps-off-s3
decision_deadline_ms: 90000 → 180000
New participant: gpt-6-1-sol-craps-off-s3
prompt_version: v2 → v3
New participant: gpt-6-1-sol-craps-on-s3
decision_deadline_ms: 90000 → 180000
New participant: gpt-6-1-sol-craps-on-s3
| Condition | Follow control | Follow pressure | Susceptibility | Pairs |
|---|---|---|---|---|
| craps social | 0.0% | 0.0% | 0.0 pp | 200 |
| roulette fallacy | 0.0% | 0.0% | 0.0 pp | 200 |
Loss against the covered reference, compared with a random player. Lower loss is better.
Excluded from Edge: Roulette (exhibition).
| 20 missing · 0 void |
| Claude Mythos 5.1 | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 3 wins / 2 ties / 5 lossestarget regret: −0.0008 (95% interval −0.0016 to −0.0003; 10 scored units) | 0 missing · 0 void |
|---|
| Claude Mythos 5.1 | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| Claude Opus 5.5 | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 4 wins / 1 ties / 5 lossestarget regret: −0.0005 (95% interval −0.001 to −0.0001; 10 scored units) | 0 missing · 0 void |
|---|
| Claude Opus 5.5 | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| Claude Sonnet 5.5 | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 3 wins / 1 ties / 6 lossestarget regret: −0.0008 (95% interval −0.0013 to −0.0003; 10 scored units) | 0 missing · 0 void |
|---|
| Claude Sonnet 5.5 | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| Claude Sonnet 5 | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 3 wins / 1 ties / 6 lossestarget regret: −0.0068 (95% interval −0.0095 to −0.0043; 10 scored units) | 0 missing · 0 void |
|---|
| Claude Sonnet 5 | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| DeepSeek V4.1 Flash | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 5 wins / 4 ties / 1 lossestarget regret: −0.0045 (95% interval −0.0071 to −0.0021; 10 scored units) | 0 missing · 0 void |
|---|
| DeepSeek V4.1 Flash | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| DeepSeek V4 Pro | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 3 wins / 1 ties / 6 lossestarget regret: −0.0057 (95% interval −0.0082 to −0.0034; 10 scored units) | 0 missing · 0 void |
|---|
| DeepSeek V4 Pro | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| Gemini 3.8 Flash | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 3 wins / 2 ties / 5 lossestarget regret: −0.0012 (95% interval −0.0017 to −0.0007; 10 scored units) | 0 missing · 0 void |
|---|
| Gemini 3.8 Flash | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| GLM 5.3 Flash | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 5 wins / 0 ties / 5 lossestarget regret: −0.0123 (95% interval −0.0153 to −0.0091; 10 scored units) | 0 missing · 0 void |
|---|
| GLM 5.3 Flash | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| GPT-5.6 Terra | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 2 wins / 2 ties / 6 lossestarget regret: −0.0043 (95% interval −0.0059 to −0.0027; 10 scored units) | 0 missing · 0 void |
|---|
| GPT-5.6 Terra | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| GPT-6.1 Sol | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| GPT-6 Astra | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 3 wins / 4 ties / 3 lossestarget regret: +0.0001 (95% interval −0.00 to +0.0002; 10 scored units) | 0 missing · 0 void |
|---|
| GPT-6 Astra | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| GPT-6 Luna | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 5 wins / 3 ties / 2 lossestarget regret: −0.0073 (95% interval −0.0091 to −0.0059; 10 scored units) | 0 missing · 0 void |
|---|
| GPT-6 Luna | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| GPT-6 Sol | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 3 wins / 3 ties / 4 lossestarget regret: −0.0001 (95% interval −0.0005 to +0.0002; 10 scored units) | 0 missing · 0 void |
|---|
| GPT-6 Sol | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| Grok 4.7 | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 3 wins / 2 ties / 5 lossestarget regret: −0.0011 (95% interval −0.0018 to −0.0004; 10 scored units) | 0 missing · 0 void |
|---|
| Grok 4.7 | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| Muse Wonder | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 0 wins / 2 ties / 8 lossestarget regret: −0.0022 (95% interval −0.003 to −0.0015; 10 scored units) | 0 missing · 0 void |
|---|
| Muse Wonder | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| Scripted Provocateur | 10 sessions | You: seat 2 10 Opponent: seat 1 180 | net chips: 4 wins / 0 ties / 6 lossestarget regret: −0.0155 (95% interval −0.016 to −0.015; 10 scored units) | 0 missing · 0 void |
|---|
| Scripted Provocateur | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| Solar Pro 4 | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 5 wins / 2 ties / 3 lossestarget regret: −0.0173 (95% interval −0.0238 to −0.0117; 10 scored units) | 0 missing · 0 void |
|---|
| Solar Pro 4 | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
interval unavailable · n unavailable
prompt_version: v2 → v3
New participant: gpt-6-1-sol-craps-social-on-s3
decision_deadline_ms: 90000 → 180000
New participant: gpt-6-1-sol-craps-social-on-s3
decision_deadline_ms: 90000 → 180000
New participant: gpt-6-1-sol-showdown-off-s3
decision_deadline_ms: 90000 → 180000
New participant: gpt-6-1-sol-videopoker-off-s3
Identical frozen decisions, separate from the Ante Index. Each game, split and stratum is shown with 95% intervals. Season 3 settings · participant IDs ending in -s3.
| Participant | Cases | Mean loss | Loss / random | Optimal | Valid | Quality · all | Quality · valid | Coverage | Latency p50 | Latency p95 | Mean cost |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Blackjack · easyGPT-6.1 Sol · calibration | 15/150 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 2,985 ms2,899 ms–3,161 ms | 3,550 ms3,170 ms–3,783 ms | $0.0023$0.0022–$0.0023 |
| Blackjack · costlyGPT-6.1 Sol · calibration | 17/170 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 2,952 ms2,831 ms–3,152 ms | 3,269 ms3,167 ms–3,450 ms | $0.0023$0.0022–$0.0023 |
| Blackjack · easyGPT-6.1 Sol · sealed | 67/670 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 2,742 ms2,657 ms–2,815 ms | 3,482 ms3,167 ms–3,653 ms | $0.0023$0.0023–$0.0023 |
| Blackjack · costlyGPT-6.1 Sol · sealed | 75/750 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 2,804 ms2,721 ms–2,863 ms | 3,647 ms3,311 ms–3,864 ms | $0.0023$0.0023–$0.0023 |
| Blackjack Team Play · costlyGPT-6.1 Sol · calibration | 13/130 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 3,356 ms2,947 ms–3,582 ms | 6,520 ms3,509 ms–7,707 ms | $0.0302$0.0229–$0.0376 |
| Blackjack Team Play · easyGPT-6.1 Sol · sealed | 73/730 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 3,259 ms3,128 ms–3,444 ms | 4,147 ms3,901 ms–5,255 ms | $0.0292$0.0263–$0.0319 |
| Blackjack Team Play · costlyGPT-6.1 Sol · sealed | 71/710 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 3,386 ms3,151 ms–3,475 ms | 4,107 ms3,892 ms–5,255 ms | $0.0272$0.0244–$0.0301 |
| Craps · overallGPT-6.1 Sol · calibration | 8/300 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 26.7%13.3%–43.3% | 3,040 ms2,689 ms–3,216 ms | 3,221 ms3,064 ms–3,223 ms | $0.0134$0.0132–$0.0134 |
| Craps · easyGPT-6.1 Sol · calibration | 8/300 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 26.7%13.3%–43.3% | 3,040 ms2,689 ms–3,216 ms | 3,221 ms3,064 ms–3,223 ms | $0.0134$0.0132–$0.0134 |
| Craps · borderlineGPT-6.1 Sol · calibration | 8/300 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 26.7%13.3%–43.3% | 3,040 ms2,689 ms–3,216 ms | 3,221 ms3,064 ms–3,223 ms | $0.0134$0.0132–$0.0134 |
| Craps · costlyGPT-6.1 Sol · calibration | 8/300 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 26.7%13.3%–43.3% | 3,040 ms2,689 ms–3,216 ms | 3,221 ms3,064 ms–3,223 ms | $0.0134$0.0132–$0.0134 |
| Craps · overallGPT-6.1 Sol · sealed | 30/1190 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 25.2%18.5%–32.8% | 2,831 ms2,591 ms–2,909 ms | 3,547 ms3,186 ms–3,700 ms | $0.0135$0.0134–$0.0135 |
| Craps · easyGPT-6.1 Sol · sealed | 30/1190 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 25.2%18.5%–32.8% | 2,831 ms2,591 ms–2,909 ms | 3,547 ms3,186 ms–3,700 ms | $0.0135$0.0134–$0.0135 |
| Craps · borderlineGPT-6.1 Sol · sealed | 30/1190 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 25.2%18.5%–32.8% | 2,831 ms2,591 ms–2,909 ms | 3,547 ms3,186 ms–3,700 ms | $0.0135$0.0134–$0.0135 |
| Craps · costlyGPT-6.1 Sol · sealed | 30/1190 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 25.2%18.5%–32.8% | 2,831 ms2,591 ms–2,909 ms | 3,547 ms3,186 ms–3,700 ms | $0.0135$0.0134–$0.0135 |
| Craps · overallGPT-6.1 Sol · calibration | 22/300 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 73.3%56.7%–86.7% | 2,877 ms2,622 ms–3,081 ms | 3,327 ms3,132 ms–3,502 ms | $0.0140$0.0139–$0.0140 |
| Craps · easyGPT-6.1 Sol · calibration | 22/300 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 73.3%56.7%–86.7% | 2,877 ms2,622 ms–3,081 ms | 3,327 ms3,132 ms–3,502 ms | $0.0140$0.0139–$0.0140 |
| Craps · borderlineGPT-6.1 Sol · calibration | 22/300 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 73.3%56.7%–86.7% | 2,877 ms2,622 ms–3,081 ms | 3,327 ms3,132 ms–3,502 ms | $0.0140$0.0139–$0.0140 |
| Craps · costlyGPT-6.1 Sol · calibration | 22/300 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 73.3%56.7%–86.7% | 2,877 ms2,622 ms–3,081 ms | 3,327 ms3,132 ms–3,502 ms | $0.0140$0.0139–$0.0140 |
| Craps · overallGPT-6.1 Sol · sealed | 89/1190 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 74.8%67.2%–81.5% | 2,882 ms2,811 ms–2,993 ms | 3,616 ms3,458 ms–3,866 ms | $0.0140$0.0139–$0.0140 |
| Craps · easyGPT-6.1 Sol · sealed | 89/1190 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 74.8%67.2%–81.5% | 2,882 ms2,811 ms–2,993 ms | 3,616 ms3,458 ms–3,866 ms | $0.0140$0.0139–$0.0140 |
| Craps · borderlineGPT-6.1 Sol · sealed | 89/1190 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 74.8%67.2%–81.5% | 2,882 ms2,811 ms–2,993 ms | 3,616 ms3,458 ms–3,866 ms | $0.0140$0.0139–$0.0140 |
| Craps · costlyGPT-6.1 Sol · sealed | 89/1190 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 74.8%67.2%–81.5% | 2,882 ms2,811 ms–2,993 ms | 3,616 ms3,458 ms–3,866 ms | $0.0140$0.0139–$0.0140 |
| Showdown Hold’em · easyGPT-6.1 Sol · calibration | 20/200 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 4,786 ms3,087 ms–6,420 ms | 10,731 ms6,531 ms–10,889 ms | $0.0050$0.0045–$0.0054 |
| Showdown Hold’em · costlyGPT-6.1 Sol · calibration | 20/200 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 4,786 ms3,087 ms–6,420 ms | 10,731 ms6,531 ms–10,889 ms | $0.0050$0.0045–$0.0054 |
| Showdown Hold’em · easyGPT-6.1 Sol · sealed | 80/800 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 4,761 ms3,898 ms–5,402 ms | 10,839 ms8,517 ms–11,988 ms | $0.0049$0.0047–$0.0052 |
| Showdown Hold’em · costlyGPT-6.1 Sol · sealed | 80/800 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 4,761 ms3,898 ms–5,402 ms | 10,839 ms8,517 ms–11,988 ms | $0.0049$0.0047–$0.0052 |
| Video Poker · overallGPT-6.1 Sol · calibration | 30/300 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 2,978 ms2,748 ms–3,259 ms | 7,714 ms4,206 ms–8,339 ms | $0.0038$0.0036–$0.0040 |
| Video Poker · easyGPT-6.1 Sol · calibration | 17/170 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 2,916 ms2,447 ms–3,201 ms | 3,997 ms3,222 ms–4,627 ms | $0.0036$0.0035–$0.0037 |
| Video Poker · borderlineGPT-6.1 Sol · calibration | 9/90 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 4,347 ms2,943 ms–7,847 ms | 8,142 ms4,702 ms–8,339 ms | $0.0043$0.0039–$0.0047 |
| Video Poker · costlyGPT-6.1 Sol · calibration | 12/120 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 2,812 ms2,546 ms–2,966 ms | 3,126 ms2,919 ms–3,201 ms | $0.0035$0.0035–$0.0036 |
| Video Poker · easyGPT-6.1 Sol · sealed | 65/650 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 2,807 ms2,733 ms–2,882 ms | 4,327 ms3,409 ms–9,069 ms | $0.0037$0.0036–$0.0038 |
| Video Poker · costlyGPT-6.1 Sol · sealed | 51/510 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 2,816 ms2,663 ms–2,924 ms | 4,393 ms3,358 ms–4,977 ms | $0.0036$0.0035–$0.0036 |
| Showdown Hold’em · overallGPT-6.1 Sol · sealed | 120/1200 transport failures | 0.0010.000–0.002 | 0.0010.000–0.004 | 99.2%97.5%–100.0% | 100.0%100.0%–100.0% | 99.9%99.6%–100.0% | 99.9%99.6%–100.0% | 100.0%100.0%–100.0% | 4,859 ms4,295 ms–5,549 ms | 13,777 ms12,011 ms–15,633 ms | $0.0053$0.0050–$0.0056 |
| Blackjack · overallGPT-6.1 Sol · calibration | 29/290 transport failures | 0.0010.000–0.003 | 0.0030.000–0.009 | 93.1%82.8%–100.0% | 100.0%100.0%–100.0% | 99.7%99.1%–100.0% | 99.7%99.1%–100.0% | 100.0%100.0%–100.0% | 2,935 ms2,831 ms–3,152 ms | 3,669 ms3,191 ms–3,978 ms | $0.0023$0.0022–$0.0023 |
| Video Poker · overallGPT-6.1 Sol · sealed | 120/1200 transport failures | 0.0020.000–0.005 | 0.0000.000–0.001 | 98.3%95.8%–100.0% | 100.0%100.0%–100.0% | 100.0%99.9%–100.0% | 100.0%99.9%–100.0% | 100.0%100.0%–100.0% | 2,983 ms2,869 ms–3,167 ms | 9,176 ms6,605 ms–23,493 ms | $0.0040$0.0038–$0.0043 |
| Blackjack · overallGPT-6.1 Sol · sealed | 119/1190 transport failures | 0.0020.000–0.004 | 0.0040.000–0.010 | 95.8%92.4%–99.2% | 100.0%100.0%–100.0% | 99.6%99.0%–100.0% | 99.6%99.0%–100.0% | 100.0%100.0%–100.0% | 2,750 ms2,690 ms–2,819 ms | 3,659 ms3,483 ms–7,741 ms | $0.0023$0.0023–$0.0024 |
| Showdown Hold’em · borderlineGPT-6.1 Sol · sealed | 40/400 transport failures | 0.0020.000–0.007 | 0.0270.000–0.089 | 97.5%92.5%–100.0% | 100.0%100.0%–100.0% | 97.3%91.1%–100.0% | 97.3%91.1%–100.0% | 100.0%100.0%–100.0% | 5,456 ms4,139 ms–9,589 ms | 15,779 ms13,776 ms–20,315 ms | $0.0060$0.0054–$0.0067 |
| Blackjack Team Play · overallGPT-6.1 Sol · sealed | 118/1180 transport failures | 0.0020.001–0.004 | 0.0060.002–0.011 | 92.4%87.3%–96.6% | 100.0%100.0%–100.0% | 99.4%98.9%–99.8% | 99.4%98.9%–99.8% | 100.0%100.0%–100.0% | 3,392 ms3,269 ms–3,491 ms | 4,936 ms4,251 ms–5,588 ms | $0.0282$0.0259–$0.0304 |
| Blackjack · borderlineGPT-6.1 Sol · calibration | 10/100 transport failures | 0.0030.000–0.008 | 0.0240.000–0.063 | 80.0%50.0%–100.0% | 100.0%100.0%–100.0% | 97.6%93.7%–100.0% | 97.6%93.7%–100.0% | 100.0%100.0%–100.0% | 2,894 ms2,675 ms–3,331 ms | 3,762 ms3,094 ms–3,978 ms | $0.0023$0.0022–$0.0024 |
| Blackjack Team Play · borderlineGPT-6.1 Sol · calibration | 14/140 transport failures | 0.0050.000–0.012 | 0.0310.000–0.066 | 85.7%64.3%–100.0% | 100.0%100.0%–100.0% | 96.9%93.4%–100.0% | 96.9%93.4%–100.0% | 100.0%100.0%–100.0% | 3,438 ms3,034 ms–5,214 ms | 8,946 ms5,262 ms–14,699 ms | $0.0292$0.0209–$0.0373 |
| Video Poker · borderlineGPT-6.1 Sol · sealed | 41/410 transport failures | 0.0050.000–0.015 | 0.0040.000–0.013 | 95.1%87.8%–100.0% | 100.0%100.0%–100.0% | 99.6%98.7%–100.0% | 99.6%98.7%–100.0% | 100.0%100.0%–100.0% | 4,058 ms3,663 ms–4,759 ms | 23,493 ms8,724 ms–28,931 ms | $0.0047$0.0042–$0.0054 |
| Blackjack · borderlineGPT-6.1 Sol · sealed | 41/410 transport failures | 0.0050.000–0.012 | 0.0330.003–0.079 | 87.8%78.0%–97.6% | 100.0%100.0%–100.0% | 96.7%92.1%–99.7% | 96.7%92.1%–99.7% | 100.0%100.0%–100.0% | 2,694 ms2,594 ms–2,919 ms | 3,852 ms3,440 ms–14,645 ms | $0.0024$0.0022–$0.0026 |
| Showdown Hold’em · overallGPT-6.1 Sol · calibration | 30/300 transport failures | 0.0070.000–0.020 | 0.0100.000–0.036 | 96.7%90.0%–100.0% | 100.0%100.0%–100.0% | 99.0%96.4%–100.0% | 99.0%96.4%–100.0% | 100.0%100.0%–100.0% | 4,786 ms3,628 ms–6,468 ms | 12,442 ms10,009 ms–17,975 ms | $0.0053$0.0048–$0.0059 |
| Blackjack Team Play · borderlineGPT-6.1 Sol · sealed | 37/370 transport failures | 0.0080.003–0.013 | 0.0470.020–0.083 | 75.7%62.2%–89.2% | 100.0%100.0%–100.0% | 95.3%91.7%–98.0% | 95.3%91.7%–98.0% | 100.0%100.0%–100.0% | 3,566 ms3,312 ms–3,902 ms | 5,640 ms4,537 ms–5,873 ms | $0.0276$0.0236–$0.0322 |
| Blackjack Team Play · overallGPT-6.1 Sol · calibration | 30/300 transport failures | 0.0100.000–0.026 | 0.0280.000–0.079 | 90.0%76.7%–100.0% | 96.7%90.0%–100.0% | 97.2%92.1%–100.0% | 99.3%98.2%–100.0% | 100.0%100.0%–100.0% | 3,368 ms3,098 ms–3,726 ms | 11,553 ms5,584 ms–180,004 ms | $0.0299$0.0245–$0.0351 |
| Blackjack Team Play · easyGPT-6.1 Sol · calibration | 15/150 transport failures | 0.0150.000–0.045 | 0.0280.000–0.109 | 93.3%80.0%–100.0% | 93.3%80.0%–100.0% | 97.2%89.1%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 3,367 ms3,104 ms–3,582 ms | 59,396 ms3,869 ms–180,004 ms | $0.0306$0.0237–$0.0383 |
| Showdown Hold’em · borderlineGPT-6.1 Sol · calibration | 10/100 transport failures | 0.0200.000–0.061 | 0.2200.000–0.679 | 90.0%70.0%–100.0% | 100.0%100.0%–100.0% | 78.0%32.1%–100.0% | 78.0%32.1%–100.0% | 100.0%100.0%–100.0% | 5,853 ms3,493 ms–12,384 ms | 15,507 ms10,084 ms–17,975 ms | $0.0060$0.0048–$0.0073 |