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Omni-MATH / Let k be the answer to this problem. The probability that an integer chosen uniformly at random from {1,2,…,k} is a multiple of 11 can be written as (a)/(b) for relatively prime po…

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problem

Let kk be the answer to this problem. The probability that an integer chosen uniformly at random from {1,2,…,k}\{1,2, \ldots, k\} is a multiple of 11 can be written as ab\frac{a}{b} for relatively prime positive integers aa and bb. Compute 100a+b100 a+b.
Plain-text mathematical notation (without MathML)
Let k be the answer to this problem. The probability that an integer chosen uniformly at random from {1,2,…,k} is a multiple of 11 can be written as (a)/(b) for relatively prime positive integers a and b. Compute 100a+b.
Original LaTeX notation
Let $k$ be the answer to this problem. The probability that an integer chosen uniformly at random from $\{1,2, \ldots, k\}$ is a multiple of 11 can be written as $\frac{a}{b}$ for relatively prime positive integers $a$ and $b$. Compute $100 a+b$.

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Source and history

task_id
f67e869f-ba1c-5fc8-b699-a1a2c1209a89
task_key
test--f67e869f-ba1c-5fc8-b699-a1a2c1209a89
task_revision_id
1
config / split
/ test

Official source

initial import