Problem

(Monte Carlo simulation) A square is divided into four smaller regions as shown below in...

(Monte Carlo simulation) A square is divided into four smaller regions as shown below in (a). If you throw a dart into the square 1000000 times, what is the probability for a dart to fall into an odd-numbered region? Write a program to simulate the process and display the result.

(Hint: Place the center of the square in the center of a coordinate system shown in (b). Randomly generate a point in the square and count the 'nimbi times a point falls into an odd-numbered region.)

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