One of my favorite calculations of pi is to pick random coordinates in a unit square and count how many of them are in a circle. it's so stupid and so clever at the same time.

This was recreated from memory. I think it is close but I may have a bounding bug.

    import random

    def pi(count):
      inside = 0
      for i in range(count):
        test_x = random.random() 
        test_y = random.random()
        if test_x ** 2 + test_y ** 2 < 1:
          inside += 1
        return inside / count * 4 #above is a quarter circle
    
    print(pi(2 ** 30) )