Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others...

Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?

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no. you have a 50/50 chance either way. if you switch you will only feel bad for not going with your gut instinct

...

It depends. How much is the goat worth? How much is the car worth? Do I have the necessary financial sums to afford the taxes on the car or the goat? Does my current living situation benefit more from a car or from a goat? Can I choose not to pick a door and leave the game show entirely?

>host knows
no difference

Imagine it like this. There are 100 doors, 99 goats and 1 car.
You pick a door and the host opens all but one door. All of them are goats, because the host knew. Of course it would be better to switch to the one that the host did not open. Because the chance of the car being among the 99 that you didn't pick is way higher than it being the one you picked.

Yes, pick the door with the exposed goat, then you can have milk

>keep door
>2/3 of famous goat

this topic is so much fun to discuss on /v/