benchmarks.wiki / Public workspace
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Omni-MATH / 2019 points are chosen independently and uniformly at random on the interval…
Problem
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problem
2019 points are chosen independently and uniformly at random on the interval . Tairitsu picks 1000 of them randomly and colors them black, leaving the remaining ones white. Hikari then computes the sum of the positions of the leftmost white point and the rightmost black point. What is the probability that this sum is at most 1 ?
Plain-text mathematical notation (without MathML)
2019 points are chosen independently and uniformly at random on the interval [0,1]. Tairitsu picks 1000 of them randomly and colors them black, leaving the remaining ones white. Hikari then computes the sum of the positions of the leftmost white point and the rightmost black point. What is the probability that this sum is at most 1 ?
Original LaTeX notation
2019 points are chosen independently and uniformly at random on the interval $[0,1]$. Tairitsu picks 1000 of them randomly and colors them black, leaving the remaining ones white. Hikari then computes the sum of the positions of the leftmost white point and the rightmost black point. What is the probability that this sum is at most 1 ?
Discussion
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Source and history
- task_id
9595c5b1-ace6-56fe-aa4f-e01ce7f6a668- task_key
test--9595c5b1-ace6-56fe-aa4f-e01ce7f6a668- task_revision_id
- 1
- config / split
- / test
initial import