I find that when teaching statistics (and probability) it is often helpful to simulate data first in order to get an understanding of the problem. The Monty Hall problem recently came up in a class so I implemented a function to play the game. Th...

R-bloggers

A practical demonstration of the Monty Hall problem using R simulation. The implementation includes an interactive function that allows users to play the game or run automated simulations. Running 1,000 simulated games confirms the theoretical probabilities: switching doors wins approximately 67% of the time (theoretical 2/3), while staying with the initial choice wins about 33% (theoretical 1/3). The code provides both educational value for teaching probability concepts and hands-on experience with Monte Carlo simulation techniques.

Simulating Monty Hall’s Problem