Let's mark the corners of the triangle as A,B,C. There are total 8 ways in which ants can move.1. A->B, B->C, C->A2. A->B, B->C, C->B3. A->B, B->A, C->A4. A->B, B->A, C->B5. A->C, C->B, B->A6. A->C, C->B, B->C7. A->C, C->A, B->A8. A->C, C->A, B->COut of which, there are only two cases under which the ants won't collide :* A->B, B->C, C->A* A->C, C->B, B->ATherefore, probability of ants not colliding : 2/8 = 1/4
Aptitude
Topic: Probability
There are 3 ants at 3 corners of a triangle, they randomly start moving towards another corner.What is the probability that they don't collide?
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