import random
 
experiment_count = 1000
success_count = 0
for i in range(experiment_count):
	doors = [1, 2, 3]
	door_with_auto = random.choice(doors)
	doors_without_auto = list(set(doors) - set([door_with_auto]))
	first_choice = random.choice(doors)
	candidates_to_open = [1, 2, 3]
	candidates_to_open.remove(first_choice)
	try:
		candidates_to_open.remove(door_with_auto)
	except:
		candidates_to_open.remove(doors_without_auto[0])
	door_to_open = candidates_to_open[0]
	doors.remove(first_choice)
	doors.remove(door_to_open)
	final_choice = doors[0]
	if final_choice == door_with_auto:
		success_count += 1
print 'Change choice case. Result: {}%'.format(100.0 * success_count / experiment_count)
 
 
success_count = 0
for i in range(experiment_count):
	doors = [1, 2, 3]
	door_with_auto = random.choice(doors)
	final_choice = random.choice(doors)
	if final_choice == door_with_auto:
		success_count += 1
print 'Not change choice case. Result: {}%'.format(100.0 * success_count / experiment_count)

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