Monty Hall problem outcome simulator
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import random | |
# probability calculator | |
def monty(): | |
runs = 5000 | |
true_switch_win_counter = 0 | |
false_switch_win_counter = 0 | |
true_switch_counter_total = 0 | |
false_switch_counter_total = 0 | |
for i in range(runs): | |
print('____________________\nBegin for loop #{}\n'.format(i+1)) | |
doors = ['1', '2', '3'] | |
initial_pick = random.choice(doors) | |
winning_door = random.choice(doors) | |
print('Doors: {}'.format(doors)) | |
print('Initial pick: {}'.format(initial_pick)) | |
print('Winning door: {}\n'.format(winning_door)) | |
# switcher | |
if i % 2: | |
true_switch_counter_total += 1 | |
print('Switch True') | |
second_pick = 0 | |
if winning_door == initial_pick: | |
# guaranteed loss | |
print('Winning door: {} == Intial pick: {}' | |
.format(winning_door, initial_pick)) | |
print('Lose. Switched from correct initial pick') | |
else: | |
# guaranteed win | |
print('Winning door: {} != Intial pick: {}' | |
.format(winning_door, initial_pick)) | |
print('Win. Switched from incorect initial pick.') | |
true_switch_win_counter += 1 | |
else: | |
false_switch_counter_total += 1 | |
print('Switch False') | |
if initial_pick == winning_door: | |
print('Initial pick: {} == Winning door: {}' | |
.format(initial_pick, winning_door)) | |
print('Win. Not switched.') | |
false_switch_win_counter += 1 | |
else: | |
print('Initial pick: {} != Winning door: {}' | |
.format(initial_pick, winning_door)) | |
print('Lose. Not switched.') | |
print('\nEnd for loop #{}\n--------------------\n'.format(i+1)) | |
print('Wins with switch:\t{:.3f}%' | |
.format(true_switch_win_counter / true_switch_counter_total * 100)) | |
print('Wins without switch:\t{:.3f}%' | |
.format(false_switch_win_counter / false_switch_counter_total * 100)) | |
print('true_switch_win_counter: {} / true_switch_counter_total: {}' | |
.format(true_switch_win_counter, true_switch_counter_total)) | |
print('false_switch_win_counter: {} / false_switch_counter_total: {}' | |
.format(false_switch_win_counter, false_switch_counter_total)) | |
if __name__ == "__main__": | |
# run function on startup | |
monty() |
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