Quote:
Originally Posted by Baph
The probability of changing your mind is 1/2, not 1 or 0.
If you change your mind, you have only one door to choose. That may, or may not have the car.
You're too stuck on the assumption that you know what you have chosen, before the opportunity to change your mind is presented.
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Can you program a computer? If so, write a simple simulation of the problem and see what answer you get. There are some on the net already.
http://math.ucsd.edu/~crypto/Monty/monty.html
http://en.wikipedia.org/wiki/Monty_hall_problem