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Monty Hall - Let's Make a Deal

You're on "Let's Make A Deal". Monty Hall offers
you 3 curtains. 1 (and only 1) curtain has a prize
behind it. The other 2 curtains have nothing behind
them. Monty Hall knows which curtain has the prize
behind it. After you choose a curtain, Monty opens
one of the other 2. He will always open a curtain
with nothing behind it. At this point, Monty offers
you the chance to change your mind and pick the
other curtain. Should you switch?
Submitted  1/13/2000 11:49:42 PM
Hint   Answer