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Another way to think about it: Imagine instead of opening the door, Monty points to a door and says that the prize is either behind this door, or the one you ch
by mindvirus 12y ago
Another way to think about it: Imagine instead of opening the door, Monty points to a door and says that the prize is either behind this door, or the one you chose, and the question is, who is right? This is equivalent, but seems easier to think about. Also imagine this with 5 doors - then it seems much more clear.
- dllthomas 12y agoCould you elaborate? This seems less clear, to me.
- mindvirus 12y agoThe variant works like this: A player picks a door, and Monty picks a door, and whoever gets the right door gets the prize. Monty knows what is behind every door, so the prize is either behind the player's door or Monty's. So now, suppose you get to bet on who will win. Its clear that the chance of the player winning is 1/3. Thus the chance of Monty winning is 2/3. So bet on Monty. To change it back to the original problem, you are also the player in the game. So now, do you bet on yourself or on Monty?