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?

• Ans:1/4
  Let the corners of triangle be A,B,C
  There are 8 pssible ways in which ant can move
  1. A to B, B to C, C to A
  2. A to B, B to C, C to B
  3. A to B, B to A, C to A
  4. A to B, B to A, C to B
  5. A to C, C to B, B to A
  6. A to C, C to B, B to C
  7. A to C, C to A, B to A
  8. A to C, C to A, B to C
  Out of which, there are only two cases under which the ants won't collide :
  A to B, B to C, C to A and A to C, C to B, B to A
  probability =2/8=1/4
• 13 years agoHelpfull: Yes(23) No(0)
• Shivani din solve to the question.
  Question asks fr probability.
  
  so its 2 out of 8 possibilities.
  Its 1/4.
  Karthik Pandian is correct.
• 13 years agoHelpfull: Yes(5) No(2)
• 1/3
• 13 years agoHelpfull: Yes(1) No(9)
• Only "Two",
  One is all will move in same direction in clock-wise,
  Second is all will move in same direction in anti clock-wise.
• 13 years agoHelpfull: Yes(0) No(8)