SOLUTION: In the movie "21", they discuss the probability of three curtains. The three curtains intially all have a 33.33% chance of having a car behind it. The host reveals one curtain(A)

Question 318752: In the movie "21", they discuss the probability of three curtains. The three curtains intially all have a 33.33% chance of having a car behind it. The host reveals one curtain(A) and that doesn't have the car. The probablity of the the remaining two curtains changes. The contestant changes his curtain from the initial (C) to curtain (B) and claims that he did so because the probability of curtain (B) HAS NOW RISEN TO 66.67%. How did it jump so high? I would have thought each curtain's probability is now 50%.
Thank you.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The discussion regarding the Monty Hall paradox or the Let's Make a Deal paradox can get very lengthy.
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Here's an applet that discusses and lets you play and explore:
http://www.stat.sc.edu/~west/javahtml/LetsMakeaDeal.html
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If that's not sufficient, search on "Monty Hall paradox" or the "Let's Make a Deal paradox" and you'll get plenty of pages of explanation.
Good luck!

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