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Improve premise explanation in index
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@@ -19,19 +19,33 @@ const Home: NextPage = () => {
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This website is dedicated to exploring the intriguing 100 prisoners problem, a mathematical
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This website is dedicated to exploring the intriguing 100 prisoners problem, a mathematical
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challenge that seems astronomically impossible at first, yet can leverage mathematics to
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challenge that seems astronomically impossible at first, yet can leverage mathematics to
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raise the chances one hundred octillion.
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raise the chances one hundred octillion.
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<br/>
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</p>
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<br/>
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<p>
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This thought experiment presents a scenario in which a group of 100 prisoners are tasked
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This thought experiment presents a scenario in which a group of 100 prisoners are tasked
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with finding their own numbered slip among a collection of 100 boxes, each containing a
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with finding their own numbered slip among a collection of 100 boxes, each containing a
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random permutation of the numbers 1 through 100.
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random permutation of the numbers 1 through 100.
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</p>
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</p>
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<ul>
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<li>
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Each prisoner is allowed to open 50 boxes.
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</li>
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<li>
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Each prisoner must find their own number within a box, or they fail.
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</li>
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<li>
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All prisoners must be successful - if even one fails, they all lose.
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</li>
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<li>
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Prisoners cannot mark, relay or in any way communicate with each other.
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</li>
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</ul>
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<p>
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<p>
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The prisoners are allowed to open 50 boxes each in an attempt to find their own number, and
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Given the premise, the lack of options, and the incredibly tiny odds, one would presume
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all of the prisoners must be successful in order to be set free. This problem raises
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this challenge to be impossible - but it turns out there is a strategy that guarantees a
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questions about strategy and probability in search of a solution.
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<b> 31%</b> chance of success!
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</p>
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</p>
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</div>
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</div>
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<div className="pt-5 pb-8">
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<div className="pt-7 pb-8">
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<NoSSR>
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<NoSSR>
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<BoxTable/>
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<BoxTable/>
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</NoSSR>
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</NoSSR>
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