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This technique relies on simulation and random numbers to estimate the value of Pi essentially by throwing darts at a board inscribed with a circle
This technique relies on simulation and random numbers to estimate the value of Pi essentially by throwing darts at a board inscribed with a circle and counting how many darts land inside the circle and how many land outside the circle. For everyone's safety, let's stick to a computer-based simulation! To simplify, we'll use the first quadrant unit square as suggested in the article. The approach will work as follows: 1. For each dart thrown, generate its coordinates, x and y, using a random uniform distribution from 0 - 1 . The Python function random.random will include the 0 endpoint but exclude the 1 endpoint. The Python function random.uniform may include the 1 endpoint. See Python documenation for random module for more details. 2. If the dart is inside the quarter-circle, count it. A dart is inside the quarter-circle if its distance from the origin (0,0) is
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