Quote:
Originally Posted by phillip1882
there are two closed boxes. you are told one box has 3 times more than the other. you pick a box and open it. you see that is has 9 dollars in it. would it be in your benefit to switch? obviously the answer is yes, as you stand to gain more than you lose. now imagine after picking a box, you are not allowed to open it. would it still be in your benefit to switch?
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Told in the first method, you have opened the box and have $9 in your hand. At this
point it equal probability (50/50) that other box has $3 or $27. You have $9 now. This
is a Deal/No Deal mentality. Never exercised on the show would be to stand with the $9.
Of course if you like to wager, go for the other box. No Paradox.
Quote:
Originally Posted by phillip1882
... anyone see a clear way to prove which is better?
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This is not something to prove with the information given. Game Theory, yes; rigorous
provable Mathematics, No.
maddog
