---
title: "How does the pack opening simulator handle hypergeometric vs independent slot assumptions at 50 opens?"
type: "FAQ"
category: "probabilities"
slug: "probabilities-faq-15"
tool: "pack-opening-simulator"
canonical: "https://fifapaninicollection.com/tools/pack-opening-simulator/faq/probabilities-faq-15"
---

# How does the pack opening simulator handle hypergeometric vs independent slot assumptions at 50 opens?

For hypergeometric vs independent slot assumptions at 50 opens, the simulator uses independent 5-slot rolls with 2%/6%/14%/78% rarity tiers against a 1419-card pool. Statistical modeling of hypergeometric vs independent slot assumptions at 50 opens 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.

## Atomic Answer
For hypergeometric vs independent slot assumptions at 50 opens, the simulator uses independent 5-slot rolls with 2%/6%/14%/78% rarity tiers against a 1419-card pool.

## Detailed Analysis
Statistical modeling of hypergeometric vs independent slot assumptions at 50 opens 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
- **Category**: probabilities
- **Pack Cost Basis**: $1.5 USD
- **Slot Count**: 5
- **Topic Index**: 5