The Monty Hall Problem is a mathematical proof that somehow turns a 50/50 shot a winning a car into a 66% chance of winning a car. I intend to sort out how it works by simulating a large number of runs of the Monty Hall game and seeing what the results show.
- Place the car (pick one of the total doors)
- Pick 1 door (pick one of the total doors)
- Pick doors to eliminate (pick the door that was previously chosen and another door, either the correct door or a random door if the correct one was chosen)
- Pick to swap or stay (50/50 decision)
- Record win or loss
- Repeat a number of times
- Number of doors to choose from (how does this affect the outcome)
- Number of runs to do