What's the Probability a Circle is Entirely in the Square? 02/24 Jane Street Monthly Puzzle

Описание к видео What's the Probability a Circle is Entirely in the Square? 02/24 Jane Street Monthly Puzzle

A circle is randomly generated by sampling two points uniformly and independently from the interior of a square and using these points to determine its diameter. What is the probability that the circle has a part of it that is off the square? Give your answer in exact terms.

This is the Jane Street Monthly Puzzle in February 2024.
Problem Link: https://www.janestreet.com/puzzles/so...
Solution and Leaderboard Link: https://www.janestreet.com/puzzles/so...

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