Meta Data Science interview questions

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. The probability that none of the ants collide = [ ? / ? ] Follow-up: k ants are sitting at the k corners of an equilateral polygon. Each ant starts randomly picks a direction and starts to move along the edge of the triangle. The probability that none of the ants collide = [ ? / ? ] Count how many trailing 0 in (100!)