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MathNet 2020 — Math Olympiad Vault — Part 03 Question 60

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 03

Question 60

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 $100 a + b$.