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Omni-MATH / 3000 people each go into one of three rooms randomly. What is the most likely…

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problem

3000 people each go into one of three rooms randomly. What is the most likely value for the maximum number of people in any of the rooms? Your score for this problem will be 0 if you write down a number less than or equal to 1000. Otherwise, it will be 25−27|A−C|min(A,C)−100025-27 \frac{|A-C|}{\min (A, C)-1000}.
Plain-text mathematical notation (without MathML)
3000 people each go into one of three rooms randomly. What is the most likely value for the maximum number of people in any of the rooms? Your score for this problem will be 0 if you write down a number less than or equal to 1000. Otherwise, it will be 25−27(|A−C|)/(min(A,C)−1000).
Original LaTeX notation
3000 people each go into one of three rooms randomly. What is the most likely value for the maximum number of people in any of the rooms? Your score for this problem will be 0 if you write down a number less than or equal to 1000. Otherwise, it will be $25-27 \frac{|A-C|}{\min (A, C)-1000}$.

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Source and history

task_id
43aaa979-fade-5a74-bc55-eda4dd283191
task_key
test--43aaa979-fade-5a74-bc55-eda4dd283191
task_revision_id
1
config / split
/ test

Official source

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