lgbasallote
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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Algebraic!
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monty haul.
Jnlucero
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the answer is always to switch, but i dont understand why....
Algebraic!
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always switch.
lgbasallote
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i don't think it's monty hall
Algebraic!
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it is.
lgbasallote
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because in that principle.. one is guarranteed to have a prize,,,in this case...it's not
lgbasallote
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so it's not monty hall right?
lgbasallote
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yes. one of the door has a guaranteed prize
lgbasallote
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in this case, there is a chance all three boxes don't have prizes
lgbasallote
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so how is it applicable?
Algebraic!
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same principle. increased information.
Algebraic!
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your odds of winning go up...
lgbasallote
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can it be proven mathematically?
Algebraic!
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I think it is, on that wiki page.
lgbasallote
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that wiki page demonstrates one prize two not
lgbasallote
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different from this situation wherein there are ten boxes
Algebraic!
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k.
lgbasallote
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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
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i just cant figure out how