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# The Monty Hall Problem

import random

# Two goats and one car are the possible prizes
prizes = ["Car", "Goat", "Goat"]


def play(number_of_rounds, player_strategy):
	win_count = 0
	for counter in range(number_of_rounds):

		# Randomly place a prize behind each door

		doors = random.sample(prizes, len(prizes))

		# Player picks a door

		player_choice = random.choice([0,1,2])

		# Monty opens a door. It can't be the player's door, nor the one with the car. It's always a goat.

		possible_reveals = [i for i,x in enumerate(doors) if i!=player_choice and doors[i] != "Car"]
		# Also, if there are two possiblw doors to reveal (i.e., the player has picked the door with the car),

		# Monty picks one of them randomly.

		revealed_door = random.choice(possible_reveals)

		if player_strategy == "keep":
			# If the player chooses to keep his choice

			# and there's a car behind his door

			if doors[player_choice] == "Car": win_count +=1 # He wins

		else: # If the player switches to the other remaining door (not his first choice and not the revealed door)

			player_2nd_choice = [i for i,x in enumerate(doors) if i!=player_choice and i != revealed_door][0]
			# and there's a car behind that door

			if doors[player_2nd_choice] == "Car": win_count += 1 # He wins
            
	print("By choosing to %s his chosen door, the player won %s cars in %s games." % (player_strategy, win_count, number_of_rounds))


play(1000000,"switch")
play(1000000,"keep")

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