MathDB
2011 PUMaC Combinatorics A3 / B5

Source:

September 24, 2019
combinatorics

Problem Statement

Two points are chosen uniformly at random on the sides of a square with side length 1. If pp is the probability that the distance between them is greater than 11, what is 100p\lfloor 100p \rfloor? (Note: x\lfloor x \rfloor denotes the greatest integer less than or equal to xx.)