 |
Problem of the Week
BUGCAT
Zassenhaus Conference
Hilton Memorial Lecture
BingAWM
Math Club
Actuarial Association
Sidebar
pow:problem6s22
Problem 6 (due on Monday, April 25)
$n$ points are chosen randomly and independently on a circle, each with the uniform distribution. What is the probability that all $n$ points are contained in some closed semicircle?
We received only one solution, from Prof. Vladislav Kargin. His solution is the same as our “in-house” solution. The probability in question is $\frac{n}{2^{n-1}}$. For a justification and more details see the following link Solution.
pow/problem6s22.txt · Last modified: 2022/04/26 23:48 by mazur