Three ants are sitting on the corners of equilateral triangle.
Ants can pick any direction and start moving along the edge of equilateral triangle.
What is probability that no ant should collide with each other.
Solution of ants on equilateral triangle puzzle
Ants can move either in clockwise wise direction or anti-clockwise wise direction along the edge of equilateral triangle.
To avoid collision, Ants has to move in same direction (either clockwise or anti-clockwise wise).
Probability of a Ant for picking the clockwise direction is 1 / 2.
Probability of all three ants pick clockwise direction is 1/2 * 1/2 * 1/2 = .125
Probability of a Ant for picking the anti-clockwise direction is 1 / 2.
Probability of all three ants pick anti-clockwise direction is 1/2 * 1/2 * 1/2 = .125
Probability of three ants to follow clockwise and anti-clockwise direction = Probability of clockwise direction + probability of anti-clockwise direction.
Probability to avoid collision = .125 + .125 = 0.25;
