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The 100 Prisoner's problem
#15
RE: The 100 Prisoner's problem
(February 22, 2016 at 12:15 am)Cecelia Wrote:
(February 21, 2016 at 2:38 pm)Tiberius Wrote: In fact if the director put the numbers in the boxes following this pattern (the number in the box is the number of the box plus 1, and the number in box 100 is 1) then he would guarantee that the first prisoner would not find their number, even if the first prisoner was chosen at random.

By the 20th time though, most prisoners would recognize the pattern.   It'd be a good test though.

That's a really good point. If they recognised an artificial pattern like that they could simply skip to box 51 in the cycle since they know where it will be, and if it points to 52, they can jump ahead again to 75, if it's inside the cycle they go back to 63, if it's in the cycle they go to 87, and continue zeroing in until they find where the cycle ends which is where their number is. That only takes 6-7 guesses to get there, there's no chance of running out of guesses if the pattern is obvious like that.
For Religion & Health see:[/b][/size] Williams & Sternthal. (2007). Spirituality, religion and health: Evidence and research directions. Med. J. Aust., 186(10), S47-S50. -LINK

The WIN/Gallup End of Year Survey 2013 found the US was perceived to be the greatest threat to world peace by a huge margin, with 24% of respondents fearful of the US followed by: 8% for Pakistan, and 6% for China. This was followed by 5% each for: Afghanistan, Iran, Israel, North Korea. -LINK


"That's disgusting. There were clean athletes out there that have had their whole careers ruined by people like Lance Armstrong who just bended thoughts to fit their circumstances. He didn't look up cheating because he wanted to stop, he wanted to justify what he was doing and to keep that continuing on." - Nicole Cooke
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Messages In This Thread
The 100 Prisoner's problem - by Aractus - February 21, 2016 at 9:45 am
RE: The 100 Prisoner's problem - by BrianSoddingBoru4 - February 21, 2016 at 12:07 pm
RE: The 100 Prisoner's problem - by Excited Penguin - February 21, 2016 at 2:37 pm
RE: The 100 Prisoner's problem - by Tiberius - February 21, 2016 at 2:25 pm
RE: The 100 Prisoner's problem - by Tiberius - February 21, 2016 at 2:38 pm
RE: The 100 Prisoner's problem - by Cecelia - February 22, 2016 at 12:15 am
RE: The 100 Prisoner's problem - by Aoi Magi - February 22, 2016 at 12:45 am
RE: The 100 Prisoner's problem - by Cecelia - February 22, 2016 at 1:01 am
RE: The 100 Prisoner's problem - by Aractus - February 22, 2016 at 1:27 am
RE: The 100 Prisoner's problem - by Aractus - February 22, 2016 at 1:17 am
RE: The 100 Prisoner's problem - by ApeNotKillApe - February 22, 2016 at 1:23 am
RE: The 100 Prisoner's problem - by FebruaryOfReason - February 21, 2016 at 2:39 pm
RE: The 100 Prisoner's problem - by Excited Penguin - February 21, 2016 at 2:42 pm
RE: The 100 Prisoner's problem - by BrianSoddingBoru4 - February 21, 2016 at 5:51 pm
RE: The 100 Prisoner's problem - by SteelCurtain - February 22, 2016 at 1:24 am

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