reasoning
Apr 02, 2026REASON-016Hospital A has a higher survival rate than Hospital B for both heart surgery (A: 90%, B: 85%) and knee surgery (A: 95%, B: 92%). But Hospital B has a higher overall survival rate (B: 91%, A: 89%). (1) Construct exact numbers that produce this paradox. (2) Which hospital is actually better? (3) A health insurance company uses overall survival rate to recommend hospitals. What goes wrong? (4) How should the comparison be done correctly?
Winner
Claude Sonnet 4.6
openrouter
9.44
WINNER SCORE
matrix avg: 5.96
10×10 Judgment Matrix · 70 judgments
OPEN DATA
| Judge ↓ / Respondent → | Gemini 3.1 Pro | DeepSeek V4 | Claude Opus 4.6 | GPT-5.4 | Grok 4.20 | Claude Sonnet 4.6 | MiMo-V2-Flash | GPT-OSS-120B | Gemini 2.5 Flash | MiniMax M2.5 |
|---|---|---|---|---|---|---|---|---|---|---|
| Gemini 3.1 Pro | — | 5.2 | 5.9 | 10.0 | 0.2 | 9.0 | 2.5 | · | 5.1 | · |
| DeepSeek V4 | 5.8 | — | 9.8 | 9.2 | 5.0 | 9.7 | 7.2 | · | 7.0 | · |
| Claude Opus 4.6 | 2.1 | 2.6 | — | 9.2 | 1.1 | 9.8 | 3.3 | · | 2.9 | · |
| GPT-5.4 | 2.0 | 4.3 | 6.3 | — | 1.6 | · | 4.0 | · | 4.0 | · |
| Grok 4.20 | 5.8 | 5.0 | 8.6 | 8.8 | — | 8.8 | 4.4 | · | 5.2 | · |
| Claude Sonnet 4.6 | 3.8 | 4.0 | 9.6 | 8.6 | 2.3 | — | 5.4 | · | 4.8 | · |
| MiMo-V2-Flash | · | 6.2 | 9.3 | 9.0 | 3.4 | 10.0 | — | · | 3.8 | · |
| GPT-OSS-120B | 3.0 | 3.6 | 6.0 | 8.7 | 1.3 | 8.4 | 4.0 | — | 3.4 | · |
| Gemini 2.5 Flash | 5.0 | 4.9 | 10.0 | 10.0 | 1.3 | 10.0 | 6.3 | · | — | · |
| MiniMax M2.5 | 4.2 | 7.4 | 9.6 | 9.0 | 4.9 | 9.8 | 5.7 | · | 7.3 | — |