Ants on a square
Four ants sit on the corners of a square. Each independently picks a direction (clockwise or counter-clockwise) uniformly at random and walks along an edge toward a neighbor. What is the probability that none of them collide? Give a decimal to three places.
Show hints (2)+
- The only safe patterns are all-clockwise or all-counter-clockwise.
- Count those against total direction patterns - don't reuse the triangle's .
Answer
Reveal answer →Final answer
0.125
Want the full step-by-step worked solution? It's part of Premium - along with a worked solution for every question in the bank.
Asked at: Timed Mental-Math & Sequences, Game-Based Aptitude, Options Market-Making