You are in a gameshow. You were showed ten boxes. One of the boxes contains money; the rest are empty. You are then asked to select three boxes. After doing so, you are asked to choose one of the three boxes you chose. Then, one of the two boxes you didn't choose was opened and revealed empty. You are then given a chance to switch to the other box or not. What do you do?

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- lgbasallote

- schrodinger

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- anonymous

monty haul.

- anonymous

the answer is always to switch, but i dont understand why....

- anonymous

always switch.

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- lgbasallote

i don't think it's monty hall

- anonymous

it is.

- lgbasallote

because in that principle.. one is guarranteed to have a prize,,,in this case...it's not

- lgbasallote

so it's not monty hall right?

- anonymous

http://en.wikipedia.org/wiki/Monty_hall_paradox

- lgbasallote

yes. one of the door has a guaranteed prize

- lgbasallote

in this case, there is a chance all three boxes don't have prizes

- lgbasallote

so how is it applicable?

- anonymous

same principle. increased information.

- anonymous

your odds of winning go up...

- lgbasallote

can it be proven mathematically?

- anonymous

I think it is, on that wiki page.

- lgbasallote

that wiki page demonstrates one prize two not

- lgbasallote

different from this situation wherein there are ten boxes

- anonymous

k.

- lgbasallote

i also know it's not monty hall because according to that principle..the answer should be switch. but the answer to this one is to not switch

- lgbasallote

i just cant figure out how

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