I’ve watched a few videos but I can’t fully understand it
In: Mathematics
There are 2 insights that might help
1) Monty Hall knows where the prize is. When he opens the door, he is telling you the prize isn’t behind the door he opens.
2) Imagine instead of 3, there are 100 doors. You pick one and there is a 1/100 chance you are correct. This means that 99/100 times the prize is behind one of the other doors. Monty Hall opens 98 of those doors (basically telling you that the prize isn’t there) leaving one door. Now you know that there is a 99/100 chance that it is behind the door he didn’t open because he deliberately doesn’t open the door with the prize behind it.
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