Ants on a cube

From Math Puzzle Wiki
Revision as of 09:15, 26 October 2017 by Oscarlevin (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

This is a generalization of the first puzzle in Presh Talwalkar's Math Puzzles Volume 1.

Puzzle

8 ants sit on the vertices of a cube (floating in space). Each ant sets off along one of the edges incident to its vertex, at random. What is the probability that no ants will collide?