Open In App

Puzzle 21 | (3 Ants and Triangle)

Last Updated : 19 Jan, 2023
Improve
Improve
Like Article
Like
Save
Share
Report

There are 3 ants sitting on three corners of a triangle. All ants randomly pick a direction and start moving along edge of the triangle. What is the probability that any two ants collide?

 
 

Hint: Every ant has two choices (pick either of two edges going through the corner on which ant is initially sitting).

 
 

Answer:
Collision doesn’t happen only in following two cases
1) All ants move in counterclockwise direction.
antPuzzl1e2

2) All ants move in clockwise direction.
antPuzzl1e1

Since every ant has two choices (pick either of two edges going through the corner on which ant is initially sitting), there are total 23 possibilities.

Out of 23 possibilities, only 2 don’t cause collision. So, the probability of collision is 6/8 and the probability of non-collision is 2/8.



More Interview Puzzles



Like Article
Suggest improvement
Previous
Next
Share your thoughts in the comments