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Monte Carlo Method:  A process used to approximate probabilities by simulating an event.

 A Monte Carlo Method is used to approximate the area of an irregular region. 100 darts are thrown onto a rectangular map with the irregular region inside. Answer the following questions about this situation. Choose each answer from the menu Graded Response a) How should the darts be thrown onto the map in order to create the best possible simulation using the Monte Carlo Method? a) Choose one with good aim randomly with practice with one eye closed b) Suppose the rectangular map has an area of 1 square meter. Approximate the area of the irregular region if 70 out of 100 darts land inside the irregular region. b) m2 c) Suppose 25 out of 100 darts land inside the irregular region, and the irregular region has an area equal to 10 square meters. Approximate the area of the rectangular map where the darts are thrown. c) m2 d) How can the experiment be performed to increase the chance at more accurately estimating the area of the irregular region? d) Choose one aim at the target use a different dart throw a lot more darts throw fewer darts