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8 replies to this topic

#1 unreality

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Posted 16 February 2008 - 03:56 AM

You are a prisoner to a land ruled by a King and Queen, both of whom are pretty nice, luckily for you. The King enjoys riddles, math challenges, and physical games as well. Often he comes and chats with you in your cell. You have only been there two weeks when he says he has an idea. He will let you go free if you can win two games in a row of zarball. Zarball is a 1-on-1 game of agility, strength, speed and accuracy, played throughout the land. You think you're pretty good at it. You know that the King is one of the best, though, and the Queen is also pretty good, though nowhere near as good as the King.

The King says: "If you can win two games in a row out of three games, you shall go free." He scratched his goti and looked at you with an interested face. "The three games will be alternating of me and my wife. You can play me first, the Queen second, and me last. Or you can play the Queen first and last, and me second, in the middle. KQK or QKQ. Either way is fine."

What do you do?
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#2 PolishNorbi

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Posted 16 February 2008 - 04:01 AM

You are a prisoner to a land ruled by a King and Queen, both of whom are pretty nice, luckily for you. The King enjoys riddles, math challenges, and physical games as well. Often he comes and chats with you in your cell. You have only been there two weeks when he says he has an idea. He will let you go free if you can win two games in a row of zarball. Zarball is a 1-on-1 game of agility, strength, speed and accuracy, played throughout the land. You think you're pretty good at it. You know that the King is one of the best, though, and the Queen is also pretty good, though nowhere near as good as the King.

The King says: "If you can win two games in a row out of three games, you shall go free." He scratched his goti and looked at you with an interested face. "The three games will be alternating of me and my wife. You can play me first, the Queen second, and me last. Or you can play the Queen first and last, and me second, in the middle. KQK or QKQ. Either way is fine."

What do you do?


Spoiler for Spoiler?

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#3 unreality

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Posted 16 February 2008 - 04:06 AM

Spoiler for in reply to PolishNorbi


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#4 unreality

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Posted 16 February 2008 - 04:18 AM

The problem can be solved by logic/intuition/whatever, which is what I did (and PolishNorbi), though you can also solve it with pure probability ;D
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#5 bonanova

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Posted 16 February 2008 - 05:55 AM

Spoiler for Perhaps unexpectedly ...

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Vidi vici veni.


#6 TwoaDay

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Posted 16 February 2008 - 09:31 PM

if your the prisoner im sore you wish you had to win two out of three but since its two in a row KQK
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#7 unreality

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Posted 16 February 2008 - 10:31 PM

Everyone got it right ;D and bonanova nailed the Probability Proof of it. Good job! :P
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#8 unreality

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Posted 17 February 2008 - 12:16 AM

I'm posting a sequel now :P
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#9 sassefras

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Posted 24 August 2008 - 05:45 PM

You are a prisoner to a land ruled by a King and Queen, both of whom are pretty nice, luckily for you. The King enjoys riddles, math challenges, and physical games as well. Often he comes and chats with you in your cell. You have only been there two weeks when he says he has an idea. He will let you go free if you can win two games in a row of zarball. Zarball is a 1-on-1 game of agility, strength, speed and accuracy, played throughout the land. You think you're pretty good at it. You know that the King is one of the best, though, and the Queen is also pretty good, though nowhere near as good as the King.

The King says: "If you can win two games in a row out of three games, you shall go free." He scratched his goti and looked at you with an interested face. "The three games will be alternating of me and my wife. You can play me first, the Queen second, and me last. Or you can play the Queen first and last, and me second, in the middle. KQK or QKQ. Either way is fine."

What do you do?

Spoiler for what i'd choose

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