May 27–June 2, 2008
Problem
Let three points be chosen at random, uniformly with respect to arc length, on the circumference of a given circle. Determine the probability that the triangle determined by the three points is acute.
Solution
here.
List of solvers
Steve Wilmarth (undergrad); Peizhe Shi, Robert Bradshaw, Ariana Dundon, Dustin Moody (graduate); Konrad Schroder (staff); Marina Meila (faculty); Lloyd Sakazaki, Roman Holenstein, Nick Gray, Mike Goodman, Kate Smith (outside).
Roman Holenstein wins the prize!