Question 3 Monte Carlo method is a traditional simulation method, in which we utilize a randomized test to find some interesting patterns or results. In this question, you are required to estimate the value of via the following test: Given a square with edge length being 2 and an inscribed circle with a radius being 1. Imagine you are doing a Monte Carlo test by dropping a point randomly onto this square. Assume that you are an excellent performer such that in each test the point won't be dropped to the outside of the square. If the number of tests is large enough, the probability for the points to be inside the circle is the ratio of the circle area to the square area: p: area(circle)area(square) 2 * * 12/ (2*2)- / 2, where P is the probability of being inside the circle