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Omni-MATH / Three distinct vertices of a regular 2020-gon are chosen uniformly at random.…

Problem

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problem

Three distinct vertices of a regular 2020-gon are chosen uniformly at random. The probability that the triangle they form is isosceles can be expressed as ab\frac{a}{b}, where aa and bb are relatively prime positive integers. Compute 100a+b100a+b.
Plain-text mathematical notation (without MathML)
Three distinct vertices of a regular 2020-gon are chosen uniformly at random. The probability that the triangle they form is isosceles can be expressed as (a)/(b), where a and b are relatively prime positive integers. Compute 100a+b.
Original LaTeX notation
Three distinct vertices of a regular 2020-gon are chosen uniformly at random. The probability that the triangle they form is isosceles can be expressed as $\frac{a}{b}$, where $a$ and $b$ are relatively prime positive integers. Compute $100a+b$.

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Source and history

task_id
1a30537e-184a-5ce6-b955-c0e2eae797e7
task_key
test--1a30537e-184a-5ce6-b955-c0e2eae797e7
task_revision_id
1
config / split
/ test

Official source

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