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Where does monity display
Where does monity display




where does monity display

Imagine the host asked you to pick one door, then asked if you wanted to switch to the other two doors. It's just that the more doors you add, the more your odds of winning improve if you switch.) The principle is still the same, namely that your odds of winning are better if you switch. It's different, but only in terms of the numbers. (Edit: I noticed you said in another comment that you felt like a game with more doors was "significantly different". That means the prize is almost certainly behind the one remaining door that Monty didn't open. You also know that it can't be behind any of the 998 doors that Monty opened. Again, you know almost certainly that you initially picked wrong and the prize is behind one of the other 999 doors. Now Monty opens 998 of those 999 doors, revealing that they do not have the prize. There is a 999 in 1000 chance that the prize is not behind that door, but behind one of the other ones - you just don't know which one. What are the odds that you initially pick the right door? Very small. To add one more thing, I agree with the other comments below that the explanation is more dramatic if you increase the numbers. But once Monty eliminated one of them, now that 2/3 chance became concentrated on the one remaining door.

where does monity display

When it was spread over 2 doors, that wasn't helpful, because each of those doors individually had a 1/3 chance of the prize, which is the same as your initial pick. Only, the 2/3 option has now been narrowed down. It was always 1/3 against 2/3 that your initial pick was right vs wrong. In other words, the odds never really change. That means there is a 2/3 chance that the prize is behind the door that Monty didn't open. So, there is a 2/3 probability that you picked wrong, and then the prize must be behind that one door. But, Monty has now very helpfully revealed that if you picked wrong, then the prize must be behind the door he did not open. There is still a 2/3 probability that you picked wrong. You know that now.Īgain, remember that there was a 1/3 chance that you picked the correct door initially, while there was a 2/3 chance that you picked wrong. Now Monty Hall opens one of these other two doors. Remember that there is a 2/3 chance that the prize is behind one of the other two doors. So, there is a 2/3 chance that the prize is behind one of the other two doors. There is a 2/3 chance that you did not pick the door with the prize. There is a 1/3 chance that you picked the door with the prize.






Where does monity display