Monty Hall simulation

mh.py

import random

show_games = False
all_doors = [1, 2, 3]

def show(*args, **kwargs):
    if show_games:
        print(*args, **kwargs)

def player_chose_first_time():
    result = random.choice(all_doors)
    show("Player choses", result)
    return result

def host_chose_door_to_open(player_door, winning_door):
    result = random.choice([d for d in all_doors if d != player_door and d != winning_door])
    show("Host opens", result)
    return result

def player_chose_second_time(player_first_door, other_door):
    result = other_door
    show("Player choses", result)
    return result

def one_game():
    winning_door = random.choice(all_doors)
    show("New game, winning door is ", winning_door)
    player_first_door = player_chose_first_time()
    host_open_door = host_chose_door_to_open(player_first_door, winning_door)
    if host_open_door == winning_door:
        # can't happen when the host opens doors non-randomly
        return False
    other_door = [d for d in all_doors if d not in (player_first_door, host_open_door)][0]
    show("Other remaining door is", other_door)
    player_second_door = player_chose_second_time(player_first_door, other_door)
    if player_second_door == winning_door:
        show("Player wins!")
        show()
        return True
    else:
        show("Player loses...")
        show()
        return False

total_games = 10000
player_wins = 0
for i in range(total_games):
    if one_game():
        player_wins += 1
print("Player won", player_wins, "times out of", total_games, "(" + str(100.0 * (player_wins / total_games)) + "%)")