Ant and triangle problem

Three ants are sitting at the three corners of an equilateral triangle. 
Each ant starts randomly picks a direction and starts to move along the edge of the triangle. 
What is the probability that none of the ants collide?
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Answer: 0.25 or 25%
Probability of no collision = Probability of all ants go in a clockwise direction + Probability of all goes in an anti-clockwise direction) 
Probability of no collision = (0.5 * 0.5 * 0.5) + (0.5 * 0.5 * 0.5) 
Probability of no collision = 0.25