Question

You have an equilateral triangle. Three cats are sitting on each corner of that triangle. If all cats run at same speed, what is the probability that the cat will collide?

Answer 1

Answer:

The probability that cat 2 runs in the same direction as cat 1 is 1/2.

The probability that cat 3 runs in the same direction as cats 1 and 2 is 1/2.

So that probability that they don't collide is 1/4.

Then the probability that they collide = 1 - 1//4 = 3/4.