Solving dilemma should you change or not doors in Monty Hall game using hacker statistics.
The conclusion is: in Monty Hall game you should always change doors.
Thera are 2 scripts: no_change.py and change.py
no_change.py simulated 10000 Monty Hall games and calculates the probability of win/lose when there IS NO changed of door.
The output of no_change.py
$ python3 no_change.py ################################# State | Number of games | Percent Win | 3286 | 32.86% Lose | 6714 | 67.14% --------------------------------- SUM | 10000 | 100.00%
change.py simulated 10000 Monty Hall games and calculates the probability of win/lose when there IS changed of door.
The output of change.py
$ python3 change.py ################################# State | Number of games | Percent Win | 6633 | 66.33% Lose | 3367 | 33.67% --------------------------------- SUM | 10000 | 100.00%
Interactive Game can be seen at:
To run on a local machine:
pipenv install jupyterlab pipenv install ipywidgets pipenv run jupyter lab
WARNING !!!
Code quality can be improved, do not use it for learning the best code quality practice.
Sometimes there is no cost/benefit in improving code quality of simple scripts.