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POIs this a good or bad 'simulation' for Monty Hall? How come?
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Through trying to explain the <a href="http://en.wikipedia.org/wiki/Monty_Hall_problem" rel="noreferrer">Monty Hall problem</a> to a friend during class yesterday, we ended up coding it in Python to prove that if you always swap, you will win 2/3 times. We came up with this: <pre><code>import random as r #iterations = int(raw_input("How many iterations? >> ")) iterations = 100000 doors = ["goat", "goat", "car"] wins = 0.0 losses = 0.0 for i in range(iterations): n = r.randrange(0,3) choice = doors[n] if n == 0: #print "You chose door 1." #print "Monty opens door 2. There is a goat behind this door." #print "You swapped to door 3." wins += 1 #print "You won a " + doors[2] + "\n" elif n == 1: #print "You chose door 2." #print "Monty opens door 1. There is a goat behind this door." #print "You swapped to door 3." wins += 1 #print "You won a " + doors[2] + "\n" elif n == 2: #print "You chose door 3." #print "Monty opens door 2. There is a goat behind this door." #print "You swapped to door 1." losses += 1 #print "You won a " + doors[0] + "\n" else: print "You screwed up" percentage = (wins/iterations) * 100 print "Wins: " + str(wins) print "Losses: " + str(losses) print "You won " + str(percentage) + "% of the time" </code></pre> My friend thought this was a good way of going about it (and is a good simulation for it), but I have my doubts and concerns. Is it actually random enough? The problem I have with it is that the all choices are kind of hard coded in. Is this a good or bad 'simulation' for the Monty Hall problem? How come? Can you come up with a better version?
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<python><language-agnostic><probability>
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Is this a good or bad 'simulation' for Monty Hall? How come?
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