Ants on a Triangle

TopicDifficultyCompanies
Mathematical
MEDIUM
Microsoft
Qualcomm
Google

There are three ants on a triangle, one at each corner. All ants randomly pick a direction and start moving along the edge of the triangle. The probability that none of the ants collide is 1/K. What is the value of K?

problem

The answer is an integer. Just put the number without any decimal places.
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