379.Three Ants on a Triangle
★★★classical probabilityCh. 2 — Axiomatic and Conditional Probability444+ Problems in Probability
Three ants sit at the three vertices of an equilateral triangle. Each simultaneously picks one of its two adjacent vertices uniformly at random and walks along the edge toward it. What is the probability that no two ants collide?
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For no collisions, the ants must all rotate the same way.
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