Interview Puzzles :: Discussion

The Monty Hall Puzzle

You are the contestant on a Game Show. There are 3 doors say A,B and C and behind one door is the prize of a million dollars. The prize is randomly placed and the probability of finding the prize behind any door is 1/3.

You get to pick one door and if you've picked the right door, you win the prize.

There's a catch. After you've chosen a door, the game show host will not immediately open that particular door. The host will open another door that you did not pick and which he knows does not contain the prize. Suppose you had picked door A, and the prize is behind door B, the host will open door C and let you know that there is nothing being door C.

At this point, you will be given a choice: Do you want to stick with your original choice (door A in the example above) or do you want to choose the other unopened door (door B in this example)?

Would you switch your choice?