Paul Mouzas

The Monty Hall problem is something that seems so simple when explained, yet so unintuitive. I had a tougher time than I care to admit trying to simulate the Monty Hall problem in code.

Here is my approach:

import random

trys = 1000
door = ['goat', 'goat', 'car']
wins = 0

for i in range(trys):
    random.shuffle(door)

    if door[1] == 'goat':
        final_choice = door[2]
    else:
        final_choice = door[1]
    if final_choice == 'car':
        wins += 1
print 'Number of wins out of 1,000: ', wins

I chose a door. If that door was a goat, I chose another door (it doesn't matter which one). If it wasn't a goat, I would keep the original guess (since I know for sure it at least wasn't one of the two goats). Statistically, the number of wins should be about 2/3 the number of trys.