@(oYo) I'm not going to insist more after this, but let me just say this: you can't see the problem as being separate in before and after the host opens the doors. If you do it's like you're starting the game at that time. But you didn't, you have to start when you choose the first door. And you have to see that the host doesn't choose 2 random doors. He chooses your door to leave closed and another one that has the prize if you missed. Your door here has 33% chance of having the prize.
So when the host opens the empty door, you are right in saying that it has 0% chance of having the prize. But you don't distribute its probability equally to the 2 doors remaining. You add it to the other door the host chose. That door has 66% chance of having the prize, not 50%. The one you chose has only 33% as before.
If it isn't like this, then how do you explain the image that was posted above and that others talked about already?
That's very clever thanks for sharing this quiz
. On the Wikipedia link you've shared this graphic explains it well:
I can actually understand how it works now
.
Like this you win in 2 out of 3 situations if you change to the other door. So if the position of the car is always random you have a 66% chance of winning.
@criptix ah sorry, I misunderstood what you were saying.
That graphic is a misrepresentation of your choices (like I've already stated), unless of course you're retarded and insist on choosing the revealed door. Just eliminate the line with the revealed door and you'll automatically understand why there's a 1/2 chance, not 1/3. Fudging the percentages to make it seem like one choice now has a 66% chance is a semantic fallacy. Unless you picked the revealed door to begin with, the only thing you accomplish by switching doors is making more work for yourself.
The following riddle is also a masterpiece of equivocation. The trick to solving this riddle is in simply understanding this fact.
Three men rent a hotel room. Each pays $10 for a total of $30 spent on the room. The next day the hotel owner tells the three men that they over paid for the room as it only costs $25. The three men tell the owner to give them each a dollar back and he can keep two dollars.
If you do the math, each man paid $9 a piece for the room for a total of $27. The owner kept $2 which brings the total to $29.
The question is where did the other dollar go?
Poll
