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?

Question

anonymous · Answer

monty haul.

anonymous · Answer

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

anonymous · Answer

always switch.

lgbasallote · Answer

i don't think it's monty hall

anonymous · Answer

it is.

lgbasallote · Answer

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

lgbasallote · Answer

so it's not monty hall right?

anonymous · Answer

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

lgbasallote · Answer

yes. one of the door has a guaranteed prize

lgbasallote · Answer

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

lgbasallote · Answer

so how is it applicable?

anonymous · Answer

same principle.  increased information.

anonymous · Answer

your odds of winning go up...

lgbasallote · Answer

can it be proven mathematically?

anonymous · Answer

I think it is, on that wiki page.

lgbasallote · Answer

that wiki page demonstrates one prize two not

lgbasallote · Answer

different from this situation wherein there are ten boxes

anonymous · Answer

k.

lgbasallote · Answer

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 · Answer

i just cant figure out how