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3 Ants and Triangle Puzzle :- There are 3 ants sitting at the three different corners of an equilateral triangle. Now each ant randomly picks a direction and starts moving along the edge of the triangle. What is the probability that none of the ants collide with each other?

Now try to solve this on your own…

Solution :-

This problem can be easily solved by using probability. Each ant can move in two different directions, either clockwise or anticlockwise and we have total 3 ants, so a total number of ways these 3 ants can move simultaneously are 2 * 2 * 2 = 8. Now to avoid a collision all 3 ants should move in the same direction, either clockwise or anticlockwise. So a total number of ways these 3 ants can move simultaneously to avoid a collision are 2.

So probability will be 2/8 = 0.25

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