The Monty Hall Problem

A Simulation and Interactive Game

The Problem

The Monty Hall Problem is a question in statistics, that takes place in a theoretical game show. A contestant is given three doors. Behind one of these doors is a prize. The contestant picks a door at random (e.g door 1). The game show host then tells the contestant that the prize is NOT behind one of the two doors that THE CONTESTANT DID NOT PICK (e.g door 2). The host then gives the contestant the option to change their choice of doors (e.g. to door 3). Should they switch?

An interactive game is located at: https://monty-hall-problem.herokuapp.com/.

The Software

This repo includes both a simulation and a game to run against your own database and server.

Installation

Clone this repo using:

    git clone https://github.com/liam-ilan/monty-hall-problem.git

Enter your MongoDB URI into a .env file.

    MONGODB_URI=<URI>

Running the Game

To start up the server, use:

    npm start

To run a simulation, use:

    node bot/simulation.js <number-of-batches> <number-of-games> > <name-of-output-file>

For example, to simulate 100 batches of 100 games, use:

    node bot/simulation.js 100 100 > results.csv

To play the Monty Hall Problem game yourself open localhost:3000.

If you want to run the simulation against a remote server (like Heroku), enter the server URL into your .env file.

    SIMULATION_SERVER_URL=<URL>

A public version of this repo is at: https://monty-hall-problem.herokuapp.com/

The Author

I'm Liam Ilan, a 13 year old software developer who is never working, but always playing around.