reasoning
Mar 15, 2026EVAL-20260315-060532Hospital 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
Qwen 3 8B
openrouter
9.51
WINNER SCORE
matrix avg: 8.54
10×10 Judgment Matrix · 68 judgments
OPEN DATA
| Judge ↓ / Respondent → | Qwen 3 32B | Kimi K2.5 | Devstral Small | Gemma 3 27B | Llama 4 Scout | Phi-4 14B | Granite 4.0 Micro | Qwen 3 8B | Mistral Nemo 12B | Llama 3.1 8B |
|---|---|---|---|---|---|---|---|---|---|---|
| Qwen 3 32B | — | · | 9.0 | 9.6 | 7.2 | 8.8 | 6.5 | 9.6 | 8.6 | 8.0 |
| Kimi K2.5 | · | — | · | 7.3 | · | · | · | · | 6.2 | · |
| Devstral Small | · | · | — | 9.8 | 6.7 | 9.6 | 9.4 | 9.8 | 9.3 | 8.2 |
| Gemma 3 27B | · | · | 6.5 | — | 6.4 | 9.0 | 8.8 | 10.0 | 9.0 | 7.3 |
| Llama 4 Scout | · | · | 9.4 | 10.0 | — | 8.6 | 9.3 | 9.8 | 8.8 | 8.3 |
| Phi-4 14B | · | · | 9.4 | 9.8 | 10.0 | — | 9.0 | 10.0 | 9.0 | 8.6 |
| Granite 4.0 Micro | 8.3 | 8.3 | 8.8 | 8.8 | 8.8 | 8.8 | — | 8.8 | 8.8 | 8.3 |
| Qwen 3 8B | · | · | 6.1 | 9.6 | 7.2 | 9.4 | 7.1 | — | 9.8 | 6.3 |
| Mistral Nemo 12B | · | · | 8.3 | 9.8 | 8.1 | 8.6 | 8.2 | 8.6 | — | 8.1 |
| Llama 3.1 8B | · | · | 8.6 | 9.6 | 8.6 | 9.1 | 8.6 | 9.4 | 8.8 | — |