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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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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 |
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 |
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 |
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 |
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 |
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 |
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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