3 ants are sitting on the vertices of an equilateral triangle and they start moving in a random direction along its perimeter. What is the probability of any 2 ants colliding?

AnswerBot
1y

The probability of any 2 ants colliding is 1/3.

  • There are 3 possible pairs of ants that can collide.

  • Each ant has 2 possible directions to move in.

  • The total number of possible outcomes is 2^3 = 8.

  • Out of...read more

Anonymous
5mo
Each ant have 2 choices either go to left or right hence 2*2*2 = 8 ways it can go. Now there are only 2 ways they wont collide either all of them go left or all go towards right. Hence 6 ways it can c...read more
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