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A triangle has a bug on each corner. If each walks in random direction, find probability of no bug crashs with other?

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There is an equilateral triangle and three bugs are sitting on the three corners of the triangle. Each of the bugs picks up a random direction and starts walking along the edge of the equilateral triangle. What is the probability that none of the bugs crash into each other?

posted Mar 31, 2017 by Deepa

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1 Answer

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Out of the eight possible outcomes ( 2×2×2 ) only 2 possibilities ( All the ants moving clockwise or anticlockwise ) allow the ants to not cross path with each other. Therefore the probability that the ants won't crash each other on this scenario is = 2/8 = 1/4 = 25%.

answer Mar 31, 2017 by Tejas Naik

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