9

Part of 2020 LIMIT Category 2

Problems(1)

Pairwise distance less than radius

Source: LIMIT 2020 Cat 2 Obj P9

Three points are chosen randomly and independently on a circle. The probability that all three pairwise distance between the points are less than the radius of the circle is

\frac{1}{K}

K\in\mathbb{N}

K

probabilitylimit