3 bugs problem was made famous by being frequently asked in Microsoft interviews. The problem goes like this.
There is an equilateral triangle and three bugs are sitting on the three corners of the triangle. Each of the bugs picks up a random direction and starts walking along the edge of the equilateral triangle.
What is the probability that none of the bugs crash into each other?

You can view the video for a visual explanation or read the answer here.

Bonus Puzzle:

Now imagine if instead of the equilateral triangle there is a square and 4 bugs are sitting on the 4 corners of the square. Each of the bugs picks up a random direction and starts walking along the edge of the square.

What is the probability that none of the bugs crash into each other?

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