This repository contains a Jupyter Notebook that explores and visualizes the Birthday Paradox and other Combinatorial Problems. The Birthday Paradox is a famous problem in probability theory that demonstrates how our intuition about probabilities can be misleading. It states that in a group of just 23 people, there is a better than even chance that at least two people share the same birthday.
Birthday Paradox.ipynb: The main Jupyter Notebook that includes the explanation, mathematical calculations, and visualizations related to the Birthday Paradox.
To run the code in this repository, you will need the following Python libraries:
numpymatplotlibnetworkxrandom
You can install the required libraries using the following command:
pip install numpy matplotlib networkx- Clone the repository:
git clone https://github.com/galenwilkerson/Birthday-Paradox.git- Navigate to the repository directory:
cd Birthday-Paradox- Open the Jupyter Notebook:
jupyter notebook "Birthday Paradox.ipynb"- Run the cells in the notebook to explore the Birthday Paradox, perform probability calculations, and visualize the results.
The notebook includes a function to visualize the Birthday Paradox using a graph where nodes represent people and edges indicate shared birthdays. The graph uses a circular layout to display connections effectively.
This project is licensed under the MIT License - see the LICENSE file for details.
- This project was inspired by the famous Birthday Paradox problem in probability theory.
- Thanks to the contributors and the open-source community for their invaluable support.