Ants moving towards Corners

Puzzle # 11

There are 'n' ants at 'n' corners of a 'n' sided closed regular polygon, they randomly start moving towards another corner that is adjacent to it. 

• If n = 5, PENTAGON.. i.e., 5 ants positioned at 5 corners are started moving towards other possible corners
• If n= 6, HEXAGON.. i.e., 6 ants positioned at 6 corners are started moving towards other possible corners
• If n = 8, OCTAGON.. i.e., 8 ants positioned at 8 corners are started moving towards other possible corners
• So on and So Forth.

What is the probability that they don't collide?


Puzzle Tip :
Use Possible and Non Possible method


Approach to Solve Puzzle :

1. Get total No. of ways for all ant(s) in polygon.
2. Consider minimal closed shape by letting n start from 3 i.e., Triangle

Solution to Puzzle :

Nothing is impossible.

Still you want to see the solution reach link to see the solution. But, don't give up easily.