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Suppose you toss 10 coins randomly at the board below and that all coins stay on the board. Find the probability as a fraction of landing in the shaded region.
The area of the larger square is 9^2 = 81, and the area of the smaller square is 3^2 = 9. This means the area of the shaded region is 81-9=72. Hence, the desired probability is 72/81 = 8/9.
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