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?

Answer Posted / sandeep reddy

To prevent collision ants have to move in this particular way
A-->B,B-->C,C-->A ; probability=(1/2*1/2*1/2)

in opp direction
A-->C,C-->B,B-->A ; probability=(1/2*1/2*1/2)

probability that the ants doesnt coincide=
(1/2*1/2*1/2)+(1/2*1/2*1/2)
=(1/8)+(1/8)

ans. 1/4

Is This Answer Correct ?    25 Yes 3 No



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