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25-11-2022
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You are throwing darts at a square target with corners at (0,0), and(1,1). Each dart lands uniformly over the target. Let Y be the distance from the dart to the x-axis, and similarly, X be the distance from the dart to the y -axis. Let D be the Manhattan distance from dart to the origin, X+YWhat is the probability that D≤0.5 ? Express your answer as a fraction a/b in simplest form. What is the probability that 0.5≤D≤1 ? Express your answer as a fraction a/b in simplest form.

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