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Topic: Fight For Fifteen (Read 400 times) |
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R
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Fight For Fifteen
« on: Mar 18th, 2010, 10:14pm » |
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Two players alternately pick numbers without replacement from the set 1,2,3...9. The first player to obtain three numbers that sum to 15 wins. What is your strategy?
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The first experience seems like Magic, but the second tells you the Trick behind it.
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Noke Lieu
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Re: Fight For Fifteen
« Reply #1 on: Mar 18th, 2010, 11:15pm » |
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Depends on what # you choose to start with...
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ThudnBlunder
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Re: Fight For Fifteen
« Reply #2 on: Mar 19th, 2010, 1:30am » |
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on Mar 18th, 2010, 10:14pm, R wrote:
No strategy can guarantee a win for either player.
But 1st player can win if numbers are chosen from {1,2,3,...27}, with 42 being the winning total. 
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THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
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Grimbal
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Re: Fight For Fifteen
« Reply #3 on: Mar 19th, 2010, 2:59am » |
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Use magic.
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Noke Lieu
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Re: Fight For Fifteen
« Reply #5 on: Mar 19th, 2010, 7:09am » |
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on Mar 19th, 2010, 2:59am, Grimbal wrote:| Use magic. |
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cute...
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a shade of wit and the art of farce.
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