Monty Hall Problem Simulation

montyhall.py

def calc_monty_hall(cnt):
    """ Monty Hall Problem Simulation
    https://en.wikipedia.org/wiki/Monty_Hall_problem
    """
    import random
    doors = set([1,2,3])
    cnt_player_noswitch = 0
    cnt_player_switch = 0
    cnt_player_random = 0
    for i in range(1, cnt+1):
        cadillac = random.choice(list(doors))
        player = random.choice(list(doors))
        host = random.choice(list(doors - set([cadillac, player])))
        print("Round %s        --> cadillac: %s, player: %s, host: %s" % (i, cadillac, player, host))

        player_switch = (doors - set([player, host])).pop()
        player_random = random.choice(list(doors-set([host])))
        print("Round %s switch --> cadillac: %s, player: %s, player_switch: %s, player_random:  %s" \
                % (i, cadillac, player, player_switch, player_random))

        if cadillac == player:
            cnt_player_noswitch += 1
        if cadillac == player_switch:
            cnt_player_switch += 1
        if cadillac == player_random:
            cnt_player_random += 1

    print("Winning Ratio  ==> No_switch: %.2f%%,  Switch: %.2f%%, Switch_random: %.2f%% "\
                % (100*cnt_player_noswitch/cnt, 100*cnt_player_switch/cnt, 100*cnt_player_random/cnt))