PYTHON 3

Compute r by a Monte Carlo Method 3 points Monte Carlo methods are any numerical methods determined by the use of random numbers in processes-like radioactive decay ofa particle or the likelihood of a single molecule to react. (Note that the physical processes aren't called "Monte Carlo", only the numerical methods using random numbers.) We will use a random method, called Buffon's Needle, to estimate the value of . Consider a circle inscribed inside of a square. If the circle has unit radius, r = 1, then its area A = - The square in which it is inscribed has vertices (-1,-1), (+1,-1), (+1, +1), (-1, +1) with area If you consider throwing a dart at the square, the probability that it lands inside of the circle is-wor-4. We can thus use ncircle as a proxy for Agirele, and treat the square similarly quare