3 Ants Triangle Puzzle


Suppose that you have a triangle with 3 ants on different vertices (corners) of the triangle. What is the probability that either 2 of the ants or all of the ants collide if all 3 ants start walking on the sides of the triangle?

Reverse the way the riddle is asked
Find the probability that there will not be a collision instead. When will this happen?
There are only two scenarios in which a collision will not happen between the ants.

There are 23 (which equals eight) possible ways that the ants can move. 
there are 6 scenarios where the ants will collide. And 6 out of 8 possible scenarios, means that the probability of collision is 6/8, which equals 3/4 or .75.
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