Ants on a circle: What is the probability that Adele returns to...?

harry.petrone

New member
Joined
Sep 19, 2016
Messages
6
I am sure you know this one:

[FONT=&quot]Suppose n ants are placed on a circle with a diameter of one meter. Each ant location is chosen independently, uniformly at random. An ant chooses between clockwise or anti-clockwise direction, uniformly at random, and starts scampering along the circle. All ants move at the same speed: one meter per second. When two ants bump into each other, they reverse their direction of travel. One of the ants is named Adele. What is the probability that Adele returns to the same point as she started, one minute after the ants start their scampering?[/FONT]
 
Top