Luck vs Hard Work Simulation

An interactive simulation exploring the roles of luck and hard work in determining success over time. This project uses Streamlit to provide real-time visualization and parameter adjustment.

🔗 Repository

github.com/imzeeshaan/LuckVsHardwork

💡 Overview

This simulation compares two groups:

• Hard Work Only: Success determined purely by effort
• Hard Work + Luck: Success influenced by both effort and random events

The model uses compound growth to demonstrate how these factors affect outcomes over time.

⚡ Quick Start

1. Clone the repository:

git clone https://github.com/imzeeshaan/LuckVsHardwork.git
cd LuckVsHardwork

2. Install required packages:

pip install -r requirements.txt

3. Launch the app:

streamlit run CP.py

🎮 Interactive Parameters

Core Settings

• Population: Choose between 1,000-20,000 individuals
• Time Period: Simulate 5-50 years
• Hard Work Impact (α): Set influence of effort (0.0-0.5)
• Luck Impact (β): Set influence of random events (0.0-0.5)

Distribution Controls

• Mean Hard Work (μ): Average effort level (0.0-1.0)
• Hard Work Variation (σ_H): Spread in effort (0.01-0.5)
• Luck Variation (σ_L): Spread in random events (0.01-0.5)

📊 Pre-set Scenarios

1. Pure Merit System

   • Emphasizes hard work (α=0.4)
   • Minimal luck influence (β=0.1)

2. Luck-Dominated

   • Strong luck impact (β=0.4)
   • Moderate effort reward (α=0.1)

3. High Volatility

   • Maximum randomness
   • Equal effort/luck weights

4. Long-Term Study

   • Extended timeframe (50 years)
   • See compounding effects

🔧 Technical Details

Project Structure

LuckVsHardwork/
├── CP.py              # Main simulation
├── requirements.txt   # Dependencies
├── README.md         # Documentation
├── Procfile          # Deployment settings
├── .gitignore
└── .streamlit/
    └── config.toml   # Streamlit settings

Mathematical Model

The simulation uses compound growth formulas:

• Hard Work Only: Success *= (1 + α * HardWork)
• Hard Work + Luck: Success *= (1 + α * HardWork + β * Luck)

Where:

• HardWork ~ N(μ, σ_H²)
• Luck ~ N(0, σ_L²)

🚀 Deployment

Run on Streamlit Cloud

1. Visit share.streamlit.io
2. Connect to GitHub
3. Select imzeeshaan/LuckVsHardwork
4. Choose CP.py as main file

Local Development

1. Fork the repository
2. Create feature branch:

git checkout -b feature/your-feature

3. Test locally:

streamlit run CP.py

4. Submit pull request

📄 License

MIT License - See LICENSE file

🤝 Contributing

Contributions welcome! Please:

1. Fork the repository
2. Create a feature branch
3. Submit a pull request

🙏 Acknowledgments

Built with:

• Streamlit
• NumPy
• Matplotlib
• Pandas