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?

Answers were Sorted based on User's Feedback



There are 3 ants at 3 corners of a triangle, they randomly start moving towards another corner. Wh..

Answer / rick

The probability is 25% because there are 3 ants all with
two possible paths and 8 total possible outcomes. But
there are two possible outcomes that the ants don't
collide. Either they move one way or the other. 2/8 = 25%.

Is This Answer Correct ?    84 Yes 9 No

There are 3 ants at 3 corners of a triangle, they randomly start moving towards another corner. Wh..

Answer / gourav

Each ant can move in 2 directions. Lets say direction are
Left (L) and Right (R). Solution if all ants move either
towards L or R. For L (1/2 * 1/2 * 1/2) = 1/8. Same for R =
1/8. Total for L and R = 1/8 + 1/8 = 1/4.

Is This Answer Correct ?    66 Yes 4 No

There are 3 ants at 3 corners of a triangle, they randomly start moving towards another corner. Wh..

Answer / 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

There are 3 ants at 3 corners of a triangle, they randomly start moving towards another corner. Wh..

Answer / rajat

actually we have to take care that no 2 ants should
collide....therefore, that is only possible if 1st follows
the second and second follows the third and third follows
the first..........plus it can be either clockwise or
anticlockwise....hence 2 ways out of 8 ways.....ans is
2/(2*2*2)=1/4

Is This Answer Correct ?    7 Yes 3 No

There are 3 ants at 3 corners of a triangle, they randomly start moving towards another corner. Wh..

Answer / puneet madan

How can we assume the triangle to be equilateral?
If we assume it to be an equilateral triangle, then the probability is 0.25.

Is This Answer Correct ?    1 Yes 1 No

There are 3 ants at 3 corners of a triangle, they randomly start moving towards another corner. Wh..

Answer / nick

Actually we can say with absolute certainty that two of the
ants will move in the same direction. One of them may not.
It is a trick question. There is a 50/50 chance that one of
the ants may not move in the same direction as the other two.
So the answer is 50%.

Is This Answer Correct ?    1 Yes 7 No

There are 3 ants at 3 corners of a triangle, they randomly start moving towards another corner. Wh..

Answer / swathi

How do you consider that the ants can move only in 2
directions (L or R) ? They could even move "randomly", say
straight, collide, and then move to some corner..

Is This Answer Correct ?    1 Yes 21 No

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