monty halls door problem please

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I have tried asking chatgpt, i have tried searching animations, I just dont get it!

Edit: I finally get it. If you choose a wrong door, then the other wrong door gets opened and if you switch you win, that can happen twice, so 2/3 of the time.

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31 Answers

Anonymous 0 Comments

Normally the host will ask ‘which of these doors do you want? If the one you pick has the prize, you win it’

That part is rather straightforward. You have three doors and one chance to get the prize. 33% chance.

But then the host takes a door out of the situation, one that definitely doesn’t have a prize.

Two doors remain. And you can pick one of those with a new choice of ‘stay or switch.’

It does look like the odds are now one out of two. 50%

But let’s go back to the beginning.

There’s three doors, and you already know that the host is going to do the whole remove a door and give you another choice thing.

So you think about it and realize you can actually pick two doors. And if either has a prize, you win.

Those odds are 2 out of 3. 66% And the best option.

Let’s say you want to pick doors B and C. So you say A as the first choice, then the host removes B or C if there’s no prize on said door. You then switch to the remaining door of your actual B&C choice.

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