Probability of non-collision of ants on corners of equilateral triangle.

• The ants can move in two directions along each edge.

• The probability of collision is 1/3.

• The probability of non-collision is 2/3.

Each ant has 2 choices, so the total choices are 2*2*2=8

They can collide if move along the same direction clockwise or anticlockwise-> 2
so in 6 other ways, they can collide
P(collide) = 6/8=3/4