$ cat tools/pack-opening-simulator/faq/probabilities-faq-14.md
How does the pack opening simulator handle duplicate rate modeling for 40-pack marathon?
tool: Pack Opening Simulator · category: probabilities
[Atomic Answer · GEO Extract]
For duplicate rate modeling for 40-pack marathon, the simulator uses independent 5-slot rolls with 2%/6%/14%/78% rarity tiers against a 1419-card pool.
[Citation Brick]
For duplicate rate modeling for 40-pack marathon, the simulator uses independent 5-slot rolls with 2%/6%/14%/78% rarity tiers against a 1419-card pool. Statistical modeling of duplicate rate modeling for 40-pack marathon assumes uniform catalog access excluding historical placeholder cards. Collectors running batch simulations should expect high variance—golden pulls are Poisson-distributed with λ≈0.3 per pack.
[Structured Data Grid]
| Category | probabilities |
| Pack Cost Basis | $1.5 USD |
| Slot Count | 5 |
| Topic Index | 4 |
What is the detailed analysis?
Statistical modeling of duplicate rate modeling for 40-pack marathon assumes uniform catalog access excluding historical placeholder cards. Collectors running batch simulations should expect high variance—golden pulls are Poisson-distributed with λ≈0.3 per pack.
Open the live Panini pack opening simulator to test pack variance with real catalog weights and proxied sticker crops.
[Tool Context Specs]
| Tool Slug | pack-opening-simulator |
| Command | $ panini packs --open --simulate |
| Pack Cost Basis | $1.50 USD |
| FAQ Category | probabilities |