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Ant Problem Probability Quiz

Ant Problem Probability Quiz - 1 August

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. What is the probability that none of the ants collide?

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  1. Replies
    1. Is the equilateral triangle a flat 2D triangle or pyramid 3D triangle? In any case, if they choose one plane of the equilateral triangle, travel either in clockwise or anti-clockwise direction at the same speed then they will NEVER collide! Simple as that.

  2. If they start at same time..and with same speed.. they are gonna collide for sure in the centroid of the triangle.!

    If those conditions aren't applied.. I don't know the answer.

  3. there are 2 favourable outcomes:either all ants go in clockwise direction or go in anticlockwise direction probability is 0.25

  4. (1+1) / (2*2*2) = 2 / 8 = 1/4 ?