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Omni-MATH / The numbers 1,2,…,10 are written in a circle. There are four people, and each person randomly selects five consecutive integers (e.g. 1,2,3,4,5, or 8,9,10,1,2). If the probability …

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problem

The numbers 1,2,…,101,2, \ldots, 10 are written in a circle. There are four people, and each person randomly selects five consecutive integers (e.g. 1,2,3,4,51,2,3,4,5, or 8,9,10,1,28,9,10,1,2). If the probability that there exists some number that was not selected by any of the four people is pp, compute 10000p10000p.
Plain-text mathematical notation (without MathML)
The numbers 1,2,…,10 are written in a circle. There are four people, and each person randomly selects five consecutive integers (e.g. 1,2,3,4,5, or 8,9,10,1,2). If the probability that there exists some number that was not selected by any of the four people is p, compute 10000p.
Original LaTeX notation
The numbers $1,2, \ldots, 10$ are written in a circle. There are four people, and each person randomly selects five consecutive integers (e.g. $1,2,3,4,5$, or $8,9,10,1,2$). If the probability that there exists some number that was not selected by any of the four people is $p$, compute $10000p$.

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Source and history

task_id
9350c00b-f444-506b-a95b-478e010721b0
task_key
test--9350c00b-f444-506b-a95b-478e010721b0
task_revision_id
1
config / split
/ test

Official source

initial import