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| The Bananas and the Gorillas | |
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| Tweet Topic Started: Jun 23 2005, 09:36 PM (155 Views) | |
| Curry | Jun 23 2005, 09:36 PM Post #1 |
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You are one of the several individuals who are allowed once a day to enter the gorilla cave in the zoo. Like any of the other visitors, each time you enter, you have to distribute 10 bananas over three bags, and put the three bags in a corner of the cave. Subsequently you watch the same ritual that happens each day and with each visitor:
Obviously, in this daily routine your intention is to gain as many gold coins as you can, and lose as few as possible. But you can’t please all three gorillas at the same time. You don't know the other cave visitors and have no means to communicate with them. Also, the order in which the various visitirs are allowed to enter the cave is completely random. What is your strategy? How will you distribute the 10 bananas over the three bags? |
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| Trav-man | Jun 23 2005, 10:37 PM Post #2 |
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That's Travtastic!
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My strategy is to not go in the cage at all. -_- But... I guess maybe I would put.. 5, 3, and 2? I don't see how this works if you don't know what the last person put. O_o |
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| forthenight | Jun 23 2005, 10:49 PM Post #3 |
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My stratagy would be 6, 4, and 0. We are allowed to leave an empty bag, right? Hopefully with this stratagy I'll have more with the first gorilla, and equal amount or more with the second, and most likely less with the final gorilla. |
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| Trav-man | Jun 23 2005, 11:47 PM Post #4 |
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That's Travtastic!
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That is... very smart. The probability of winning all 3 times is next to zero, so it's smarter to go in and win twice and lose once every time. You gain 1 coin roughly per entrance. Woo, you're a genius.
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