Question

There are 3 ants sitting on three corners of a triangle. All ants randomly pick a direction and start moving along the edges of the triangle. What is the probability that any two ants collide?

a-1/4
b-1/2
c-3/4
d-1

Answer 1

The probability that any two ants collide is 1/8.

Step-by-step explanation:

To calculate the probability that any two ants collide, we need to consider the different paths they can take. Each ant has two possible directions to choose from. Therefore, there are a total of 2^3 = 8 possible outcomes. Out of these 8 outcomes, only 1 outcome leads to a collision, where all ants choose the same direction.

So, the probability of a collision is 1 out of 8, which can be simplified to 1/8. Therefore, the correct answer is a-1/4.