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 / guest
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->A
2. A->B, B->C, C->B
3. A->B, B->A, C->A
4. A->B, B->A, C->B
5. A->C, C->B, B->A
6. A->C, C->B, B->C
7. A->C, C->A, B->A
8. A->C, C->A, B->C
Out 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->A
| Is This Answer Correct ? | 22 Yes | 1 No |
Answer / kiran
if they travel with same speed each following another then
they will never collide and prob. of that is 1/4
| Is This Answer Correct ? | 1 Yes | 0 No |
Answer / some guy who hates his life
Don't answer. Just hang up the phone and look for a sharp object.
I thought the ants (or robots, in my case) could reverse their paths randomly at any point like so many toy robots that move pseudo-randomly.
Dang it! I really wanted that job too.
| Is This Answer Correct ? | 1 Yes | 0 No |
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