8

Part of 2009 Stanford Mathematics Tournament

Problems(2)

SMT 2009 Geometry 8

Source:

Three points are randomly placed on a circle. What is the probability that they lie on the same semicircle

geometryprobability

SMT 2009 Team #8

Source:

\sum_{k=1}^{n}\frac{k^2(k - n)}{n^4}